Hypothesis Test - Mean | μ | p value | z-table + Examples

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Joshua Emmanuel

Joshua Emmanuel

Күн бұрын

How to conduct hypothesis test for a population mean μ using p-value approach assuming the population standard deviation (sigma) is known.
P-value from Student's t-Table: • P-value from t-table |...
Hypothesis Test for p (proportion): • Hypothesis Test for Pr...
00:00 - Introduction
00:30 - Left-tailed test
01:22 - P-value
03:53 - 2-tailed test
04:50 - Right-tailed test
05:50 - Two-Tailed test

Пікірлер: 56
@tanyaabushaban8864
@tanyaabushaban8864 Жыл бұрын
Perfectly explained. Through all my stats classes I've just been plugging in the numbers, unable to visualize it, so I always forget. No one has ever been able to explain it this well. Thank you
@joshemman
@joshemman Жыл бұрын
My pleasure, Tanya. Glad it helps.
@abiofficial-ws7pn
@abiofficial-ws7pn 2 ай бұрын
Yes, this guy made it so easy !! I teach stats for junior college, and this guy just increased my already-existing impostor syndrome lol
@joshemman
@joshemman 2 ай бұрын
Haha, you're funny, Abi. 😄 Thanks for dropping a note.
@mashuur8128
@mashuur8128 2 жыл бұрын
Thanks, Joshua. This is a great video
@sashaliss2962
@sashaliss2962 Жыл бұрын
Great video, thanks!
@sashaliss2962
@sashaliss2962 Жыл бұрын
Thanks Joshua!
@shaziamurtaza3832
@shaziamurtaza3832 Жыл бұрын
Good explanation 👍
@dikshagupta3276
@dikshagupta3276 Жыл бұрын
Nice explanation thanku
@abdulmalikk.k8401
@abdulmalikk.k8401 3 ай бұрын
Man thanks 🙏🏿 you saved me
@frankgama392
@frankgama392 2 ай бұрын
I don' know why this video is not getting more likes
@nani2155
@nani2155 19 күн бұрын
True
@abiofficial-ws7pn
@abiofficial-ws7pn 2 ай бұрын
[Edited] I do have a question. Do we have to multiply p-value with 2, for 2-tailed tests? I'm having a hard time wrapping my head around this.
@joshemman
@joshemman 2 ай бұрын
Yes, we have to multiply one-tail area by 2 to obtain the p-value for a two-tailed test.
@cheldeeclairetubog9978
@cheldeeclairetubog9978 3 ай бұрын
Hi joshua, why did you use pvalue 0.0344 in your last example when it is a 2-TAILED test ? I thought you only subtract 1 from the value in the table when it is right tailed test?
@joshemman
@joshemman 3 ай бұрын
At 6:06, the one-tail area was multiplied by 2 to obtain p-value of 0.0688.
@greatdani100
@greatdani100 2 жыл бұрын
I love your videos and your way of explaining is really good i would like to request you one thing how many Z-table we have to see z scores? because i got confuse can u please make a video on that? thanks alot for your videos
@joshemman
@joshemman 2 жыл бұрын
I'm not really clear about your question. Are you working with a different z-table?
@jimmythesaintpro
@jimmythesaintpro Жыл бұрын
perfect
@shaziamurtaza3832
@shaziamurtaza3832 Жыл бұрын
Thanks
@ressyeldyana2320
@ressyeldyana2320 Жыл бұрын
if only I had seen this good lecture before hmm. but it's too late i have to face the exam in 30 mins from now.
@davidishola240
@davidishola240 Жыл бұрын
Please im confused. Why did you minus 1 from the value you get from the table in the right tail test but didn't do so in the left tail test?
@joshemman
@joshemman Жыл бұрын
The Z-table I used shows areas below Z. If you want areas above, you have to subtract from 1.
@noelawaseth7012
@noelawaseth7012 Жыл бұрын
Hi Joshua , I'm confused about your last example, why have you subtracted minus one in the 2 tailed test when the claim does not suggest a right-tailed test?
@joshemman
@joshemman Жыл бұрын
The table (or Excel) usually gives you the left-tail area. Since the test statistic is positive, you need to do "1 minus" to obtain the right tail area first, then multiply it by 2 for the two-tailed test. If the test statistic were negative, you don’t need to do “1 minus” to obtain the area in the left tail because the area in the table is already left-tailed.
@user-em9lo6cv4f
@user-em9lo6cv4f 7 ай бұрын
​@joshemman sır does these "1 minus" work in the p values population only or in all hypothesis testin because i have not seen you minusing 1 in your other videos of hypothesis testing...
@danialsharifi3513
@danialsharifi3513 7 ай бұрын
thank you siiiiiir
@harshramtohul7236
@harshramtohul7236 2 жыл бұрын
Very well explained.
@joshemman
@joshemman 2 жыл бұрын
Glad you like it, Harsh.
@cococnk388
@cococnk388 2 жыл бұрын
Morning sir, thanks for the lecture. My question is on what base, do we attribute a level of significance ("LS") to a hypothetical question? For instance for a sample we do a hypothesis testing for this two: "LS" = 0.01 and another at "LS" = 0.05 We can have the following results: for a "LS" = 0.01 we fail to reject the null hypothesis, for a "LS"= 0.05 we do reject the null hypothesis... So it can lead to an error in conclusion of the experiment? So how do we choose our "level of significance "? Thanks.
@joshemman
@joshemman 2 жыл бұрын
Significance level (alpha) is the probability of making a Type I error. If you choose alpha = 0.05, you’re saying that your conclusion is prone to Type I error, 5% of the time. That is, you will likely reject the null hypothesis (when it is actually true) about 5% of the time. But if you choose alpha = 0.1, you have increased your chances of rejecting a true null hypothesis to 10%. Factors such as sample size and practical implication could also inform the choice of alpha. This guy in this video: kzfaq.info/get/bejne/ha5io9Vh1rPTnWw.html tries to answer your question but in general.
@princeisabel8594
@princeisabel8594 Жыл бұрын
How did you get the 4.9 from the alpha of 0.01
@joshemman
@joshemman Жыл бұрын
That symbol σ is sigma (not alpha). It represents the population standard deviation.
@Arun-qu2sf
@Arun-qu2sf 2 жыл бұрын
hey Emmanuel in two tail test you are testing for differ from mean @ signi level .05 means it will be rejected only if value = .05 but you are rejecting it when value < .05 why?
@joshemman
@joshemman 2 жыл бұрын
Hi Arun, you reject Ho when p-value < alpha.
@Arun-qu2sf
@Arun-qu2sf 2 жыл бұрын
@@joshemman why are you rejecting Ho when p value
@joshemman
@joshemman 2 жыл бұрын
​@@Arun-qu2sf That's by definition but watching the video a few more times might help.
@cococnk388
@cococnk388 2 жыл бұрын
@@Arun-qu2sf at that area the test is significant enough...
@SaimasMagicalChannel
@SaimasMagicalChannel 5 ай бұрын
🎉🎉🎉
@nutritionistzainab
@nutritionistzainab 9 ай бұрын
Thanky so much bro 💫💫💫all queries solved
@joshemman
@joshemman 9 ай бұрын
You're welcome, Zainab.
@bhuvaneshwaran792
@bhuvaneshwaran792 20 күн бұрын
P value table?
@SaimasMagicalChannel
@SaimasMagicalChannel 5 ай бұрын
Wow😮😮😮🎉🎉🎉
@desmondenyia189
@desmondenyia189 Жыл бұрын
I thought the alpha has to be divided by 2 when working with the 2 tailed hypothesis?
@joshemman
@joshemman Жыл бұрын
Yes, it is alpha/2 for "each" tail in two tailed tests. This is why the one-tail area is multiplied by 2 to obtain the P-value for a two tailed test.
@abiofficial-ws7pn
@abiofficial-ws7pn 2 ай бұрын
@@joshemman Doesn't the stated p-value already account for that? (I have also asked this question as a separate comment)
@joshemman
@joshemman 2 ай бұрын
@@abiofficial-ws7pn If your p-value is from a software like R, then it is 2-tailed by default, unless you specify 1-tail. If you manually calculate p-value as done in this video, you have to multiply the one-tail area by 2 for two-tailed tests.
@SaimasMagicalChannel
@SaimasMagicalChannel 5 ай бұрын
😁😁😁😁😁😁
@Mkbrok
@Mkbrok 3 ай бұрын
5:30
@chantellechikukwa7488
@chantellechikukwa7488 2 жыл бұрын
How're you Mr Joshua,where can we get your email address?
@joshemman
@joshemman 2 жыл бұрын
You can just ask your question here.
@chantellechikukwa7488
@chantellechikukwa7488 2 жыл бұрын
@@joshemman do you do tutorials for specific topics/assignments
@joshemman
@joshemman 2 жыл бұрын
@@chantellechikukwa7488 Sure. What are you working on?
@chantellechikukwa7488
@chantellechikukwa7488 2 жыл бұрын
@@joshemman Operations Management and Analytics
@joshemman
@joshemman 2 жыл бұрын
@@chantellechikukwa7488 Do a Google search. You should find my contact email. I can't post here.
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