Hypothesis Testing - Z test & T test
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
Пікірлер: 74
You are able to make learning so stressless. Thank you.
I had never seen such an amazing explanatio , thank you so much!!!!!
Thanksssss for such a crisp n clear explanation!!!
Bravo…please make more videos…you make the complicated easier to understand!!! TY
crisp and clear. Thanks for the simplification
@pax_academy
7 ай бұрын
Glad it was helpful!
I got it now. What a nice tutorial
Thank you so much i appreciate it. this is very easy to understand
Thankyou for clear explanation ❤
Great to-the-point explanation 🙂Many thanks
@pax_academy
9 ай бұрын
Thank you very much!
Thank you It’s really helpful
So helpful Thankyeww so muchhhhh❤️
Thank you sir. Well expantiated and understood😊
Ur insane this made it so clear unlike my lecturer who made it so convoluted
Thank you it's useful
Thank you so much ❤❤❤❤
Great video! This really helped me understand my statistics homework so much better 🎉
@pax_academy
7 ай бұрын
Glad it helped!
Thanks alot 🙏🏾🙏🏾but please what's that chart called
All doughs cleared Man ❤😊
So helpful
Thank you so much it really helped me
@pax_academy
8 ай бұрын
I'm glad it helped!
How did u get 0.01 in the rejection region and 0.025 in the rejection region
thank you thanj u!!!!!!!!!
You helped me a lot thanks
@pax_academy
7 ай бұрын
No problem!
Thanks a lot for sharing🎉❤
@pax_academy
7 ай бұрын
My pleasure !
very helpful thank you
@pax_academy
9 ай бұрын
Glad it was helpful!
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
2 ай бұрын
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...
Day before the exam and here I am
@Aryanm0503
2 ай бұрын
My exam is after 2hrs😂
@wardakashif2469
2 ай бұрын
3 hourse before the viva and I'm here😂
when calculating for the t-value, why is the degree of freedom not applicable (n-1)?
@pax_academy
9 ай бұрын
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.
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
Ай бұрын
I think it’s just depending on if we know the population variation. If yes use Z if not use T
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
9 ай бұрын
Absolutely, you can also choose to state the null hypothesis as
@sajanyerra
9 ай бұрын
@@pax_academy thank yo very much, for responding :)
Life saver 😊
@pax_academy
9 ай бұрын
Thank you! :)
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
8 ай бұрын
Excuse my hand-writing but I did indeed write n-1 although it looks like u-1 :) n stands for sample size. Thank you!
Great 👌
@pax_academy
8 ай бұрын
Thank you!
informative video 😃
@pax_academy
9 ай бұрын
Thank you!
Unable to understand 😭😞😭😞
What test is used when n>30 but then pop. variance is know
@pax_academy
8 ай бұрын
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.
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
8 ай бұрын
Because of the degree of freedom, i guess
@pax_academy
8 ай бұрын
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
8 ай бұрын
@@pax_academy Oh okay, I understand now, thank you very much. Hope you continue making educational videos on Statistics!
thank u
@pax_academy
8 ай бұрын
You're welcome!
great great great
Very comprehensive
@pax_academy
9 ай бұрын
Thank you very much!
@user_elvis
9 ай бұрын
Could you avail your concept on linear programming & break-even analysis thank you@@pax_academy
❤
Why 1.43 mine is 1.428
YOU ARE AGREAT TEACHER
@pax_academy
7 ай бұрын
Thank you!
First question sample sd is given not population sd, so should not we go for the t-test?
@pax_academy
7 ай бұрын
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
2 ай бұрын
@@pax_academy I don't get it😭
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
2 ай бұрын
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