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Hypothesis Testing - Z test & T test 

Pax Academy
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In this video we solve some hypothesis testing problems using both the z test and t test. It involves one-tail and two-tail tests.
We look at when to use the z test and when to use the t test. We then apply our learning to some exercises. They involve stating the null and alternative hypothesis, calculating the critical value, calculating the z/t value and finally determining whether we reject or accept the null hypothesis.
0:00 When to use which test
01:00 Exercise 1
04:52 Exercise 1 - Critical Value
06:20 Rest of Exercise 1
08:36 Exercise 2
11:25 Exercise 2 - Critical Value
12:50 Rest of Exercise 2

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14 июл 2024

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Комментарии : 72   
@jewelminor5526
@jewelminor5526 5 месяцев назад
You are able to make learning so stressless. Thank you.
@fabiolasilva6623
@fabiolasilva6623 4 месяца назад
I had never seen such an amazing explanatio , thank you so much!!!!!
@shravaninimbolkar6741
@shravaninimbolkar6741 3 месяца назад
Thanksssss for such a crisp n clear explanation!!!
@malvikapant7622
@malvikapant7622 7 месяцев назад
crisp and clear. Thanks for the simplification
@pax_academy
@pax_academy 7 месяцев назад
Glad it was helpful!
@nancykamau5915
@nancykamau5915 7 месяцев назад
I got it now. What a nice tutorial
@pmicozzi
@pmicozzi Месяц назад
Bravo…please make more videos…you make the complicated easier to understand!!! TY
@kanakanakanakanameki2055
@kanakanakanakanameki2055 5 месяцев назад
Thank you so much i appreciate it. this is very easy to understand
@haifaelhassan2436
@haifaelhassan2436 8 месяцев назад
Great to-the-point explanation 🙂Many thanks
@pax_academy
@pax_academy 8 месяцев назад
Thank you very much!
@eynjel2
@eynjel2 2 месяца назад
Thankyou for clear explanation ❤
@BradleyWek
@BradleyWek 19 дней назад
Thank you it's useful
@aimanmari349
@aimanmari349 4 месяца назад
So helpful Thankyeww so muchhhhh❤️
@dorinalarionov6792
@dorinalarionov6792 Месяц назад
Thank you It’s really helpful
@joshuaguzman202
@joshuaguzman202 2 месяца назад
Ur insane this made it so clear unlike my lecturer who made it so convoluted
@Joxora
@Joxora 2 месяца назад
Thank you sir. Well expantiated and understood😊
@iraafzal5219
@iraafzal5219 5 месяцев назад
Thank you so much ❤❤❤❤
@yashgupta4099
@yashgupta4099 2 месяца назад
All doughs cleared Man ❤😊
@selmaamar532
@selmaamar532 5 месяцев назад
So helpful
@Star_Handler
@Star_Handler 7 месяцев назад
Great video! This really helped me understand my statistics homework so much better 🎉
@pax_academy
@pax_academy 7 месяцев назад
Glad it helped!
@alanon2572
@alanon2572 2 месяца назад
Day before the exam and here I am
@Aryanm0503
@Aryanm0503 2 месяца назад
My exam is after 2hrs😂
@wardakashif2469
@wardakashif2469 2 месяца назад
3 hourse before the viva and I'm here😂
@tanishpawaskar2980
@tanishpawaskar2980 7 месяцев назад
Thank you so much it really helped me
@pax_academy
@pax_academy 7 месяцев назад
I'm glad it helped!
@sarasultan1745
@sarasultan1745 7 месяцев назад
You helped me a lot thanks
@pax_academy
@pax_academy 7 месяцев назад
No problem!
@raizaya
@raizaya 8 месяцев назад
very helpful thank you
@pax_academy
@pax_academy 8 месяцев назад
Glad it was helpful!
@elcinogretmen
@elcinogretmen 7 месяцев назад
Thanks a lot for sharing🎉❤
@pax_academy
@pax_academy 7 месяцев назад
My pleasure !
@atheaautida4886
@atheaautida4886 2 месяца назад
thank you thanj u!!!!!!!!!
@travisr82
@travisr82 8 месяцев назад
Life saver 😊
@pax_academy
@pax_academy 8 месяцев назад
Thank you! :)
@SammykeyzMachaa
@SammykeyzMachaa 7 месяцев назад
Great 👌
@pax_academy
@pax_academy 7 месяцев назад
Thank you!
@tehreemanwaar
@tehreemanwaar 9 месяцев назад
informative video 😃
@pax_academy
@pax_academy 9 месяцев назад
Thank you!
@dananjayachathuranga7113
@dananjayachathuranga7113 8 месяцев назад
thank u
@pax_academy
@pax_academy 8 месяцев назад
You're welcome!
@user_elvis
@user_elvis 9 месяцев назад
Very comprehensive
@pax_academy
@pax_academy 9 месяцев назад
Thank you very much!
@user_elvis
@user_elvis 9 месяцев назад
Could you avail your concept on linear programming & break-even analysis thank you@@pax_academy
@MedManiac1
@MedManiac1 7 месяцев назад
great great great
@chalseabito962
@chalseabito962 5 месяцев назад
Thanks alot 🙏🏾🙏🏾but please what's that chart called
@joeycaunsag4245
@joeycaunsag4245 2 месяца назад
I'm confused, what if we are dealing with sample standard deviations yet the sample size is more than 30, what's the statistical test
@kiwifrenchie6036
@kiwifrenchie6036 Месяц назад
I think it’s just depending on if we know the population variation. If yes use Z if not use T
@elvis1881
@elvis1881 2 месяца назад
Sorry, I have a question about the Z test. Why did you find the critical value depends on the standard deviation of 0.025 instead of 0.05? Is it about one tailed test and two tailed test? Thank you!
@happy_ritwika
@happy_ritwika 2 месяца назад
When the Alternate Hypothesis is "not equal to" the population mean, then we use a two tailed distribution. In a z or t test for a two tailed distribution, we find the z score or a t score for "alpha/2" because the critical value lies on each side of the mean. So if the Confidence Level is 0.95, then the Level of Significance is 0.05. Then alpha/2 = 0.05/2 = 0.025. If the Alternate Hypothesis is a "less then" population mean kinda scenario, we use a left tailed distribution. Then the level of significance is not divided by 2. So it just remains alpha. And we calculate the z and t test for alpha. Hope this helps...
@BSN4year
@BSN4year 2 месяца назад
Unable to understand 😭😞😭😞
@sajanyerra
@sajanyerra 8 месяцев назад
Hi! thank you for the very clear explanation. One question though, in the t-test we took 'Null Hypothesis as price = 2.45', can we also take it as 'price
@pax_academy
@pax_academy 8 месяцев назад
Absolutely, you can also choose to state the null hypothesis as
@sajanyerra
@sajanyerra 8 месяцев назад
@@pax_academy thank yo very much, for responding :)
@mansaproduct1982
@mansaproduct1982 9 месяцев назад
when calculating for the t-value, why is the degree of freedom not applicable (n-1)?
@pax_academy
@pax_academy 9 месяцев назад
Thank you for your question. I think what you're asking is why do we use the degrees of freedom when calculating the critical value and not the t-value. The reason we use degrees of freedom to find the critical value is because the t-distribution's shape changes depending on how large the sample size is. As the sample size increases (degrees of freedom increases), the certainty of the estimate increases which leads to less spread in the distribution.
@krasnerjessica2967
@krasnerjessica2967 8 месяцев назад
im new to stats...did you mean to write u-1 instead of n-1 fkr the degrees of freedom, or am I confused
@pax_academy
@pax_academy 8 месяцев назад
Excuse my hand-writing but I did indeed write n-1 although it looks like u-1 :) n stands for sample size. Thank you!
@bangtri347
@bangtri347 8 месяцев назад
I have a question for the second problem, shouldn't we be using the value corresponding to df=24 and CI=99%? Why did you use the CI value within the 98% CI?
@readingeducationjourney
@readingeducationjourney 8 месяцев назад
Because of the degree of freedom, i guess
@pax_academy
@pax_academy 8 месяцев назад
Bear in mind that this is a one-tail test, therefore our significance level is calculated from doing 1 - CL of 99% = 0.01. If it were a two-tail test we would find 0.005 (0.01/2). Hence, we use the degrees of freedom found (24) and our signif level of 0.01 to find a critical value of 2.49.
@bangtri347
@bangtri347 8 месяцев назад
@@pax_academy Oh okay, I understand now, thank you very much. Hope you continue making educational videos on Statistics!
@samsonisaac3476
@samsonisaac3476 8 месяцев назад
What test is used when n>30 but then pop. variance is know
@pax_academy
@pax_academy 8 месяцев назад
Thank you for your question. The test used when the sample size is higher than 30 or if the pop. variance is known is the z-test.
@alexmuriiki487
@alexmuriiki487 7 месяцев назад
YOU ARE AGREAT TEACHER
@pax_academy
@pax_academy 7 месяцев назад
Thank you!
@SherwinQueniones
@SherwinQueniones 2 месяца назад
Why 1.43 mine is 1.428
@JavierBonillaC
@JavierBonillaC 7 месяцев назад
8:28 we cannot reject the hypothesis that the value is 75. Alright. But I would have loved for you to involve the 95%. That means that you can be 95% sure that the age of women in the US is 75. Right?
@anuj8825
@anuj8825 2 месяца назад
I don't think 95 can be involved anymore. 95% would have been the confidence interval in case we rejected, which means that if we sample the population enough times, 95% of the times the mean of the ages will give you an answer which is NOT 75. The number 95 says nothing about the original average of 75 years The confidence interval is to support the rejection, but says nothing about confidence of the null hypothesis data
@mazenalnassri7487
@mazenalnassri7487 7 месяцев назад
First question sample sd is given not population sd, so should not we go for the t-test?
@pax_academy
@pax_academy 7 месяцев назад
Unfortunately no as the sample size is of greater importance. As n is higher than 30, we must use the t-test. Thank you for your question!
@user-ub4nt1vh9y
@user-ub4nt1vh9y 2 месяца назад
​@@pax_academy I don't get it😭
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