How To Know Which Statistical Test To Use For Hypothesis Testing

2024 ж. 17 Мам.
715 306 Рет қаралды

Hi! My name is Kody Amour, and I make free math videos on KZhead. My goal is to provide free open-access online college math lecture series on KZhead using free open-access resources. I rely on generous donations and ad revenue - a special thanks to everyone who helped this channel grow.
**Please only give if you have the financial ability to do so.**
Support this Amour Learning channel directly on Patreon: / amourlearning
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Credit to all of the authors of all of the resources below that greatly helped influence this video. My newer videos are much more original than these videos.
Free open-access online math textbooks:
aimath.org/textbooks/approved...
My favorite number theory textbooks:
Number Theory: In Context and Interactive by Dr. Karl-Dieter Crisman: math.gordon.edu/ntic/
Elementary Number Theory:
Primes, Congruences, and Secrets by Dr. William Stein: wstein.org/ent/
A Computational Introduction to Number Theory and Algebra by Dr. Victor Shoup: shoup.net/ntb/
My favorite programming language:
SageMath (which in my view is categorically more productive than Python, R, Mathematica, Matlab, Maple, Magma, etc - if you're using any of these and they aren't working out, consider switching to Sage): www.sagemath.org/
A free in-depth tutorial for SageMath: doc.sagemath.org/html/en/tuto...
Learn LaTeX in 30 minutes: www.overleaf.com/learn/latex/...
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My favorite math/science KZhead channels that I absolutely love (in no particular order):
Zach Star: / @zachstar
Numberphile: / @numberphile
3Blue1Brown: / @3blue1brown
MIT OpenCourseWare: / @mitocw
Khan Academy: / @khanacademy
PBS Infinite Series: / @pbsinfiniteseries
Lex Fridman: / lexfridman There are plenty of methods for testing a hypothesis using statistics. When you are faced with a bunch of data, how do you know which test to use? Let's break down when to use each test in a simple way. Let's think how scientists think.
Support The Show On Patreon: / kodyamour
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My name is Kody Amour, and I provide online math lectures to the public. My aim is to provide content that attends to a sound, productive conceptual understanding. Basically, I want to make sense, and I want my videos to be coherent with each other. If you think that these videos have helped you, please consider supporting this channel by subscribing, and please consider donating to this cause via Patreon!
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Пікірлер
  • We do not use a t-test for a one-sample test for proportion. We use the z distribution. I teach undergraduate and graduate statistics and have reviewed a dozen statistics textbooks and with 99% confidence, claim that we do not use the Student's t-distribution when testing a proportion. From the Stats Stackexchange: "The reason you can use a z-test with proportion data is because the standard deviation of a proportion is a function of the proportion itself. Thus, once you have estimated the proportion in your sample, you don't have an extra source of uncertainty that you have to take into account." Z distribution doesn't ask for sample size to determine the critical value, whereas t distribution does. However, as sample size gets large, z and t converge until t = z. For example, the sample size of 1000 would have no difference between z and t values.

    @quantquill@quantquill8 ай бұрын
    • Thank you for the correction 🙂

      @AmourLearning@AmourLearning8 ай бұрын
    • I agree, Professor. I lately took some class on regression analysis at Google and that's exactly what we've been told. You haven't missed a word in your explanation. Thank you!

      @ombotimbe@ombotimbe7 ай бұрын
    • The z-test for proportions is DERIVED from the binomial distribution under the assumption of a large sample size. The key idea behind this test is based on the Central Limit Theorem, which states that the distribution of the sample mean of a large enough sample will be approximately normally distributed, regardless of the shape of the underlying population distribution. hence you use z-test with proportion data

      @user-cy9zf4oz2i@user-cy9zf4oz2i4 ай бұрын
    • ok tryhard

      @beachwave5705@beachwave5705Ай бұрын
    • @@beachwave5705that’s such a bananas thing to say to a professor making a correction to a statistics video on KZhead 💀

      @mrbenizzle4087@mrbenizzle4087Ай бұрын
  • Spent 16 weeks in a graduate level stats class, but learned everything I needed to know in this 20 minute video. Thanks! Super clear.

    @aflowerthatbloomsinadversity@aflowerthatbloomsinadversity2 жыл бұрын
    • Came here to say the same thing! lol

      @AssGasGottaBlast@AssGasGottaBlast2 жыл бұрын
    • yes, agree :)

      @konami584@konami5842 жыл бұрын
    • Those 16 weeks has laid a huge foundation for u to understand this 20' lecture easily though.

      @biruktesfaye7472@biruktesfaye74722 жыл бұрын
    • Right? I was thinking in class, there has to be a more concise way to explain this stuff.

      @Noname11364@Noname113642 жыл бұрын
    • Given its a year later, you've probably now also learned that none of these tests are relevant any longer.

      @cjohnson3836@cjohnson3836 Жыл бұрын
  • There is nothing wrong with the 1-sample z test. It produces the correct answers as long as you have the population parameters. But because we rarely have the population parameters we don't use it. Its not inherently flawed as implied by the host of the video. It's pretty easy to explain why it isn't used very often, like I just did. Otherwise, great video.

    @Misterz3r0@Misterz3r0 Жыл бұрын
    • I was going to say the same thing. In addition, when the sample is greater than 30, both tests are pretty much the same. For the Chi-square, he should have said that each "bin" needs to have more than five observations. Two of them were below five.

      @Canuck1000@Canuck1000 Жыл бұрын
    • @@Canuck1000 he seems to be quite incompetent

      @sssam844@sssam844 Жыл бұрын
    • @@Canuck1000do you know the difference of 2 sample t-test proportion vs chi squared? I feel they are quite interchangeable, like the depression example he mentioned. Can it be used for chi-squared as well?

      @claireli5044@claireli5044 Жыл бұрын
    • @@claireli5044 The issue that is discussed here is the z-test vs t-test (population vs sample). The z-test is valid if we know the information about the entire population, but is very difficult to obtain as Z3r0 said above. It should not be automatically rejected. In the end, if n>30, both tests will give you the same results (if it is a sample still use the t-test though).

      @Canuck1000@Canuck1000 Жыл бұрын
    • @@claireli5044 Hi, isn't the t-test for comparing the means of two or more different continuous variables and the chi-squared test for nominal and/or ordinal variables? If I am not mistaken I don't think they are interchangeable. I would appreciate it if someone can correct my understanding. Thank you.

      @hyowonkim8168@hyowonkim8168 Жыл бұрын
  • Simply the greatest explanation. I spent hours trying to get the main gist and difference of all these confusing test. This video was the brilliant saver for me. Thank you so much !!!!!

    @jamiyana4969@jamiyana49692 жыл бұрын
  • The fact he explained the entire semester statistics portion in 20 minutes clear and precise. Amazing 🔥

    @aishwaryar1998@aishwaryar1998 Жыл бұрын
    • As a medical student with a small portion of statistics I m just confused 🥲

      @HamzaAfridi999@HamzaAfridi9997 ай бұрын
  • Great video! Just wanted to share my 2 cents. We don't use z tests because they require for us to have the population statistics (population mean and standard deviation) to do our analysis whereas in a T-test we just require the sample statistics (sample mean and standard deviation) to go ahead. Since in many cases we are just comparing 2 samples and we might not have the population statistics (especially standard deviation),we use T-tests instead of the z tests. Hope this helps!

    @siddharthvm8262@siddharthvm82622 жыл бұрын
    • Just to add a little more, you dont need the population mean to perform a z-test but you need the population standard deviation (which you never really have in practice). If you needed the population mean, then doing a test for the mean would be beyond pointless

      @raideryvs5595@raideryvs5595 Жыл бұрын
    • @@raideryvs5595 not sure about this. What about a case where a machine is claimed to produce products of size X and we have to look at a sample's Mean and Std to validate that ? Here we have 'claimed' population mean available to us.

      @anuragnegi9636@anuragnegi96364 ай бұрын
  • I learned more in this video than 4 month's of college classes 😂

    @sanskarkhandelwal@sanskarkhandelwal20 күн бұрын
  • Clear explanation, good example, energetic lectures! Thanks, this is so helpful!

    @mcyap92@mcyap923 жыл бұрын
  • You are one in a million! I finally understand when to use Regression! Thank you & subscribed!

    @koenhouse@koenhouse2 жыл бұрын
  • This was super helpful in so many levels. Not only did you described the tests in detail without hassle but it helped me understand when to use them. Thanks!!

    @girlwithquestions@girlwithquestions Жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • saved me so much time researching the appropriate technique I should use to test my hypothesis. Glad i watched it

    @jennifervazquez5329@jennifervazquez5329 Жыл бұрын
  • It is amazing! While I listening, I made a mind map and I finally organize my knowledge. Thanks a lot!

    @fatmazehra3892@fatmazehra3892 Жыл бұрын
  • I commend you! This is the most comprehensive comparison with explanation so far. Thanks

    @louiechievonmendoza9398@louiechievonmendoza9398 Жыл бұрын
  • Where have you been all my statistics life? WOW!! Just brilliant...thank you so much.

    @ladydove5895@ladydove5895 Жыл бұрын
  • This was extremely helpful and clear...thanks so much!

    @tbrazz8482@tbrazz84822 жыл бұрын
  • I am from the university of Jos, Plateau State, Nigeria and l have never learned well during the masters degree statistics classes l took for one year+ but you make it look simple. You are a good communicator and l feel more confident about my statistics knowledge because of you.

    @upbornwoman9334@upbornwoman93342 жыл бұрын
    • 🇳🇬❤

      @henetunoel5657@henetunoel56577 ай бұрын
  • This is by far the best approach I've watched on youtube. And I've watched many. So, straight sub and like for sure.

    @ifeanyi_maduka@ifeanyi_maduka Жыл бұрын
  • That really helped me understand the differences. I've always struggled with that before, so thank you!

    @LiliaceaeLilium@LiliaceaeLilium3 жыл бұрын
  • thank you so much for finding time to really explain this to us

    @synergi1107@synergi11072 жыл бұрын
  • Thanks for posting this video. Clarified the difference between the tests

    @arj123sub@arj123sub3 жыл бұрын
  • I’m not statistician but I’ve been in the statistics classes at least all three or four you might take during your undergraduate year and when you learn about those particular test they also tell you when you should use them. That’s part of learning about the actual test. I think that’s where we’re having a breakdown in the education process now statistics is more college level but even on a more basic level we might learn how to do math but we don’t learn the principles behind the mathematics you should learn the principles behind the statistics tests then you know when to use them

    @jermelpurse3018@jermelpurse3018 Жыл бұрын
  • Great! Simple and short resume of a difficult problem. Thanks a lot!

    @MrRemava@MrRemava2 жыл бұрын
  • Kody, Thank you so much. I have spent days trying to figure out ANOVA versus Chi Square versus T tests and so on, and you made it so easy. I am really grateful --and also a little baffled that so many other sources make it so complex.

    @hiyaguha@hiyaguha Жыл бұрын
  • What a clear explanation with examples. I could understand without statistic background. Thank you

    @zeynepzisan3636@zeynepzisan3636 Жыл бұрын
  • Thank you! Very clear and exactly what I needed!

    @annalewis866@annalewis866 Жыл бұрын
  • Ok, first, I love the way you present the information = terrific!!! 2nd soooo easy to understand; you speak in everyday language. thank you so much for this video, I got it!!

    @laureldennis1727@laureldennis17272 жыл бұрын
  • Wow.. so well explained, Thanks a bunch Kody!

    @davidoconnor9167@davidoconnor9167 Жыл бұрын
  • Honestly ! I wasn't sure about it. But the content is so simplified,relevant and helpful.

    @akanshasrivastava3001@akanshasrivastava3001 Жыл бұрын
  • Woow woow this is the most clear version of understanding which test, when, where and how to use the statistical test. Thank you

    @uncutit1995@uncutit19952 ай бұрын
  • Great video of lecture of this young man! Thank you so much!

    @kevinshao9148@kevinshao9148 Жыл бұрын
  • LOVED THIS!!! NEVER UNDERSTOOD STATS BETTER

    @chandanaanil2249@chandanaanil22492 жыл бұрын
  • Amazing! So much easier and fun to follow along than the other youtube videoes i have seen

    @MsAndreaskastrup@MsAndreaskastrup11 ай бұрын
  • The energy you bring to lectures is contagious. The explanation is extremely clear. Great stuff. Please keep it coming. Thanks

    @daiversetech8000@daiversetech8000 Жыл бұрын
  • I learned so much from this. Thanks!

    @SiegDaniel@SiegDaniel2 жыл бұрын
  • Thank you very very much I have an exam tomorrow and you explained it clearly that I understand now I really appreciate your efforts you are a genius thank youuuuuuuuuuuuuuuuuuuuuu

    @LauraGayusi@LauraGayusi3 жыл бұрын
  • wish all teachers are like you can structure so clearly and simply like this!

    @bryanlee5464@bryanlee54642 жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • Wow. Great introduction. The context is great. But apart from the context, the teaching style is fabulous. Thank you.

    @erhancinar5954@erhancinar59542 ай бұрын
  • Thank you so much!!!!! This is definitely solved my problems and answered my confused.

    @suki1053@suki10533 жыл бұрын
    • visit #herbalistehi for review and to be cured too no matter the virus or disease

      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • The best video on this topic. Thanks a lot

    @dibagabbary2066@dibagabbary20663 жыл бұрын
  • Your reaction on the thumbnail is definitely me.

    @sirmarky9991@sirmarky99913 жыл бұрын
  • Thank you so much. My statistics semester packaged in your 20-minute video.

    @hoaralatoan845@hoaralatoan8457 ай бұрын
  • Thank you! You explain this so much better than my professor does.

    @germb747@germb747Ай бұрын
  • Brilliant! You saved our time. Thank you!

    @VV-xf6fg@VV-xf6fg5 ай бұрын
  • omg have an exam on Tuesday and this was a lifesaver!! thank you!!

    @hennanoor6346@hennanoor6346 Жыл бұрын
  • Thanks, this was incredibly helpful!

    @mariamartin6205@mariamartin62053 ай бұрын
  • Thanks for this lecture! You are doing great!

    @little___artistic@little___artistic4 ай бұрын
  • I'm another doc student who just learned some new things! Thanks!

    @julianmcneil9769@julianmcneil97692 жыл бұрын
  • Great content! Thank you for sharing.

    @hameddadgour@hameddadgour Жыл бұрын
  • Wow. Incredible content. Thanks a lot!

    @123du5@123du52 жыл бұрын
  • thanks man, this video helped me a lot doing my graduation research.

    @captain486@captain48611 ай бұрын
  • I’m on a PhD level program with a statistics course and this is incredibly useful sir. You deserve 22 million subscribers!

    @filipinaandtheworld698@filipinaandtheworld6982 жыл бұрын
    • Same as here

      @haidaralolaywi8557@haidaralolaywi8557 Жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
    • no offense but how is any of the information in this video useful to you while doing a phd in statistics? isn't this taught in high school statistics?

      @prithvidhyani1991@prithvidhyani1991 Жыл бұрын
    • @@prithvidhyani1991 Maybe in your high school. Some of us are still learning the basics at the graduate level.

      @joed2444@joed2444 Жыл бұрын
    • @@joed2444 ohh I see. I should add then that this video really only tells you things to memorize about these topics. If you dive deeper into the mathematics behind every statistical test, you will not need to remember what test to apply in which situation, it will just make sense. Just my two cents if in case you are interested in studying stats.

      @prithvidhyani1991@prithvidhyani1991 Жыл бұрын
  • Thank you! Very helpful video!!!

    @shshsh857@shshsh8572 жыл бұрын
  • Clear & Simple - thank you for the summary!

    @maciejjamrozy@maciejjamrozy Жыл бұрын
    • visit #herbalistehi for review and to be cured too no matter the virus or disease

      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • awesome, clearly defined to understand :) thank you!

    @kaylakai@kaylakai8 ай бұрын
  • Great video Please clarify what type of test one can use if studies are going on journalism and media comparisons

    @abhisheksrivastava3270@abhisheksrivastava3270 Жыл бұрын
  • Very well explained! THis video is super useful! THank you very much!!!

    @tnmyk_@tnmyk_ Жыл бұрын
  • This is so helpful! Thank you!!!

    @annathomas9427@annathomas9427 Жыл бұрын
  • Great video! Well explained!

    @KnowDAOself@KnowDAOself Жыл бұрын
  • Question: I am conducting a study regarding three types of concrete mix to determine if the three mix techniques are significantly different and to determine the optimum mix among the three. I know I can use one way anova to test the significant difference of means however is there a test that determines which mix is optimal or provide better results?

    @warmpereer65@warmpereer65 Жыл бұрын
  • Really Helpful! Thanks

    @muskanvij4811@muskanvij48113 жыл бұрын
  • Thank you! This is so helpful for my understanding!! Wish my lecturers would watch this and summed up as such.

    @Missyheng@Missyheng Жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • Amazing!! Thank you!

    @Mettaman_420@Mettaman_4203 жыл бұрын
  • OMG you are amazing.. this was so easy to understand thank you!!

    @FruitypantsMcNutz@FruitypantsMcNutz3 ай бұрын
  • Very very helpful thank you!!

    @reginanoureddine3571@reginanoureddine35712 жыл бұрын
  • Hi Amour, what do you use to write in this video? what type of tablet(+pen) are you using here?

    @phoophookaren@phoophookaren9 ай бұрын
  • Very helpful and clear video.

    @-injection-8060@-injection-8060 Жыл бұрын
  • Thank you for the explanation!! A quick question please: I measured the hardness of a material 2 times (before and after heat treatment), then I represented it with 2 box plots. Now I want to compare the 2 box with each other. For this I need to know when the boxes are significant. Can I use Chi square method? by the others technics, icant calculate p.value with exel. Thank you again!!

    @cosanostra8341@cosanostra8341 Жыл бұрын
  • This has been so helpful, Thanks

    @marykhairallah5256@marykhairallah52563 жыл бұрын
    • Maryam Abdulaziz

      @army-cx7nk@army-cx7nk3 жыл бұрын
  • Thank you so much for making it so simple and easy to understand! You’re a lifesaver🙏🏾😭

    @sihleshabangu5169@sihleshabangu5169 Жыл бұрын
  • Great explanation. Thank you 🙏

    @roz9140@roz9140 Жыл бұрын
  • WOW thank you very much for that easy to understand explanation

    @kamogelokhumalo4792@kamogelokhumalo479211 ай бұрын
  • Amazingly explained 👏🙏🏻

    @aarushisrivastava5701@aarushisrivastava57018 ай бұрын
  • thankyou... this tutorial was really helpful...

    @ujjwalsharma4945@ujjwalsharma49453 жыл бұрын
  • Please suggest me which tool should I use if I'm to 'measure the effectiveness of the steps taken by the bank to reduce Non performing Assets (NPA)

    @TheSentu@TheSentu3 жыл бұрын
  • thanks man really helpful!

    @tarekyasseen2019@tarekyasseen20193 жыл бұрын
  • Bro i cannot thank you enough. You explained it very clearly for me. Tq boss

    @drj144@drj1445 ай бұрын
  • Thank you! I'm in graduate school now and your videos still help!

    @mariasahina9657@mariasahina96572 жыл бұрын
    • visit #herbalistehi for review and to be cured too no matter the virus or disease

      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • Perfect explanation, Thank you!

    @joshuandulinga732@joshuandulinga732 Жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • When he talked about the 2-independent sample test for mean, 2-independent sample test for proportion, and paired sample test, are those all t-tests just with different null and alternative hypotheses? Or are there different ways to do those tests other than the t statistic?

    @hls_yeah@hls_yeah11 ай бұрын
  • Thank you so much for this!

    @mini8525@mini8525 Жыл бұрын
  • Great explanations!

    @cspineda@cspineda2 ай бұрын
  • thank you! now its all clear

    @mayyagore@mayyagore22 күн бұрын
  • Watching this two days before an exam 💀💀💀

    @harrygroundwater2590@harrygroundwater25906 ай бұрын
  • Thanks man! great lecture

    @gilangignasraharjo6138@gilangignasraharjo6138 Жыл бұрын
  • Thanks for making it so simple

    @shariqanasreen4242@shariqanasreen4242 Жыл бұрын
  • Thankyou. It was a great help.

    @crishbasnet2335@crishbasnet23352 жыл бұрын
  • Thanks for making this clear

    @solomonjunior377@solomonjunior377 Жыл бұрын
  • Thank you It was really helpful❤

    @layaaskari490@layaaskari4903 ай бұрын
  • Hello, This lecture has helped me to understand using T and ANOVA Test on categorical variable. Previous my thought was T and ANOVA is used only for MEAN difference.

    @hit4success@hit4success2 жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • I have 3 independent groups (standard drug, new drug, combination of both) to test a eye drop drug trial. I need to test the significance of new drug for various symptoms( itching, tearing, burning sensation, etc; total 10 symptoms ). I have before and after data for each symptom. Sample size for each group is 13,14 and 15. Which test should I use? To choose test do you I also need to know the normality of data distribution?

    @VikramKumar-yc5rl@VikramKumar-yc5rl Жыл бұрын
  • So simplified. amazing 🤩

    @jacobs8531@jacobs853111 ай бұрын
  • Interesting and easy to understand.

    @army-cx7nk@army-cx7nk3 жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • Hello, this lecture has helped me much, thank you for that. I have one question if u could kindly answer,, Is there is a test that can draw a correlation using both quantitative and qualitative variables?

    @unknownbakimono2733@unknownbakimono27333 жыл бұрын
    • @@AmourLearning thank you for responding eventually : )), may this answer be of help to others in need

      @unknownbakimono2733@unknownbakimono27333 жыл бұрын
  • My friend, you are AMAZING. Thank you so much for this video.

    @luisrodrigueziii7316@luisrodrigueziii7316 Жыл бұрын
    • visit #herbalistehi for review and to be cured too no matter the virus or disease

      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • It helped ....thank u so much

    @shurllytiwari@shurllytiwari3 жыл бұрын
  • You mentioned in 4:40 about t-test for one proportion, which DOES NOT exist because Z-tests for proportions are based on approximation of normal (hence, z) to binomial distribution so it's only z-test for proportion. In times like the sample size is so low in testing a single proportion, then some nonparametric test may be used, like the binomial test.

    @xanmos@xanmos2 ай бұрын
  • Thank you so much for this, you are awesome at what you do! :) 😍

    @amoreggaeton1@amoreggaeton12 жыл бұрын
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      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
  • Before i even finish this video , THANK YOU!!

    @theTchild@theTchild Жыл бұрын
  • I have a question for you. If I am looking to determine the effectiveness of a medication taken along with another medication or taken alone against a placebo which test will I use? Help!!!

    @renitaforney6754@renitaforney67542 жыл бұрын
  • THANK YOU FOR MAKING THIS.

    @dslavbebe@dslavbebe2 жыл бұрын
    • Hepatitis virus can be cured naturally... visit #herbalistehi for review and to be cured too

      @antoniorobinson1727@antoniorobinson1727 Жыл бұрын
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