Hypothesis Testing Problems - Z Test & T Statistics - One & Two Tailed Tests 2
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- เผยแพร่เมื่อ 27 ต.ค. 2019
- This statistics video tutorial provides practice problems on hypothesis testing. It explains how to tell if you should accept or reject the null hypothesis. It gives two examples - one involving the z-test and the other involving the t-test or t-statistic. One of those examples include a one tailed test and the other contains an example of the two tailed test.
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Confidence Intervals & Margin of Error:
• How To Find The Z Scor...
Find The Z-Score Given Confidence Interval:
• How To Find The Z Scor...
Student's T-Distribution:
• Student's T Distributi...
Hypothesis Testing - Null & Alternative:
• Hypothesis Testing - N...
Type I and Type II Errors:
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One Tailed and Two Tailed Tests:
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Test Static For Means & Pop Proportions:
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Hypothesis Testing Problems:
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P-Value Method - Hypothesis Testing:
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Hypothesis Testing - Proportions:
• Hypothesis Testing - S...
Difference of 2 Means - H Testing:
• Hypothesis Testing - D...
Cohen's D - Pooled Standard Deviation:
• How to find Cohen's D ...
Hypothesis Testing - 2 Proportions:
• Hypothesis Testing Wit...
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Matched or Paired Samples t-Test:
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Chi Square Test:
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Chi Square Distribution Test:
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Test of Independence - Chi Square Dist:
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Helloo! Can you please make a video lecture of hypothesis testing using t test and z test again, but this time with managerial decisions? Thank you!
@@micahazzeyah6133 very good in teaching
0
If the mean is not equal to 2, it is a 2-third test, and if the mean is less than 2, it's a 1-third test. Can you please explain this better in the next video?
No cap, I learn more from this youtube page than my actual university lessons
As always. University is just a proof that you probably learn it not a means to actually learn something 😂
University Assigns, TH-cam Teaches.
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To those wondering on the Z-score values of 1.96 and confidence value of 95%:
Confidence level (CL) formula = 1 - (confidence value) = 1 - 0.95 = 0.05, and we divide this by 2 (0.05/2) to get the alpha values on both tails ~ 0.025.
You can also use this formula A = (1-CL)/2 which gives you your alpha for one tail. As these graphs are symmetric we put the alpha values on both sides.
Once you have this value you go on your Z-score table.
At alpha value = 0.025, look down at the (deg of freedom which is given by formula: 1 - n, where n is sample size) but since we have 1 - 40 = 39...
The 39 is no where on the freedom column. In this case we use the infinity value which is: 1.960 ~ 1.96
Cheers
This is my question, thank you so much
"The 39 is no where on the freedom column. In this case we use the infinity value which is: 1.960 ~ 1.96" Is this because it is a Z distribution? if its T should I just use the nearest degrees of freedom to the value of n-1?
@@los1868 same concept. If you do not find the deg of freedom that matches on your table then you can use the infinity value from the t distribution. (I am not a teacher sorry so I can't describe the story as to why but this is something I find works in every question that I have encountered so far.) Hope it helps!
Thank you man
do you mean the T table because in z score table there is no alpha or deg of freedom ?
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If your reading this comment, thank you! You saved me from a big quiz in school and i didnt study for it but this video while riding the bus to school is a blessing. Got 55/60. THANK YOU!
Youre welcome
nah watching this video is studying for it
Study next time, said the instructor..
man how you got a quiz outta 60?
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How did he get the 0.025??
Please enlighten mee
@@NONAME-yv3lq Its the leftover 5% from the 95% confidence level, split on each side to make 0.025 or 2.5%.
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Makes so much sense! This week in my MATH302 course we’re going over hypothesis testing for sample T-Test, sample Proportion, 2 Proportions, 2 independent samples, paired samples.
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You seriously saved me hours and hours worrying.
Thank you for taking your time and going through The Z and t procedures in a step-by-step manner in which I could understand understand. Furthermore I appreciate the way you compared the t critical value To the T test statistic using the formula which now helps me to understand how you reject or fail to reject the null hypothesis.
The alternative hypothesis is not rejected when the null hypothesis is rejected?
I feel so safe watching these videos like I am going to actual get information that is clear, concise & makes sense. I wish my professors understood that is far more important, then trying to impress me with jargon.
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omg thank you so much. I was so confused about how the t-test and rejection/accepting the null hypothesis worked together. I've been so confused about all of this for like 3 years (yes I procrastinated that much). It should really help me pass my statistics test for biochem. working the way through example was a really good way of explaining it.
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Help! Our professor taught us to determine whether to use z or t-test, we look at the SD!
Z-test = Population SD
T-Test = Sample SD
Did your prof teach you to determine it this way:
If population SD is known, use Z-test
If population SD is unknown, use T-test?
If yes, I'm having the same confusion as you
@@stephaniandrea5726 Mine did
@@stephaniandrea5726 if u unknow SD but ur sample is >30, u can use T-test ecuation to know Z value
This entire comment section...THANK YOU ❤️
@@killergames3634 why is it 30?
According to voice you seemed to be younger than me. Im using your lectures a lot. May your god bless you for what you are doing to help others. Please publish more videos.
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Agreed. Used for my CFA, by far a much clearer explanation
Ah, hello there, fellow CFA folks. This man does make hypothesis testing much easier!
thank you so much for this video. my teacher talks way too fast and talks in "numbers" (he doesnt work with the board to show us his calculations but instead does his calculations orally). what i had trouble doing for 2-3 weeks, i figured it all out with your help x)
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Honestly, this video helps alot. I've never get to understand Hypothesis Testing until I watched this video.
Thanks a lot. 🙏
This instructor filter every dirt from dirty water and sprinkle it on our mind. I learnt a lot
for the first question, since the sd was from the sample of 40, shouldnt we find the unbiased estimate of the sample variance first ?
well i guess, i should've just enrolled here in youtube instead of school since i still go to youtube to learn our lessons.
Thank you for the simple explanation... our prof ate our brain while teaching this! Couldn't figure out what is the meaning of these values and procedure until this.
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As per the video, our condition for t test is sample size less than 30 and population std not known. However, population std was not known even in 1 scenario also.
But what role does population std plays here. Coz' in both the examples, we didn't needed to use population std..so why this factor is important
THANK YOU SO MUCH. Seeing these brilliantly simple to understand examples is really helpful for me to conceptulize the topic
Mister I passed the course with B if it weren't you I couldn't big thanks and continue making constructive and full of knowledge videos !!!!!
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You didn’t explain how to get the critical values
The critical value is the normal distribution table value of the level of significants (1-the confidence interval) example--- (1-.99) = .01 look this value up in the normal distribution table.
THis is the best math channel on TH-cam, saves me every exam!
Awesome, explanations you definitely should teach this!! WE NEED MORE EDUCATORS THAT CAN EXPLAIN AND COMMUNICATE AS WELL AS YOU DO HERE.
why is the critical value 1.96 ?
Use z table
How did we get the 1.96?
th-cam.com/video/sJyZ9vRhP7o/w-d-xo.html
1.96 is the critical Z value. Actually calculating it is complicated and you usually aren't expected to know how or memorise them. You usually can just look it up. It's like the relative molecular masses of elements.
@@animanfan5442 where can I find it?
@@pamjarina8201 just search for Z/t values. It’s like searching the value of pi
Honestly your teaching is far more better than my teacher. Keep up the good work sir.
Thank you !
I never understood the one and two tailed test before and watching this video will help me with my biostatistics class.!
can somebody tell me where 1.96 came from in the first example pls
He got another video about finding the z-score in his channel
Search and you’ll find it.
I was wondering the same thing...did you ever figure it out?
Where did you get the 1.96
That's my wonder too
Normal Distribution Tables, You do Area Left = (1 + cl )/2 then you at what exactly that area corresponds to as a Z value.
Your channel always comes in clutch. I genuinely love you man.
Can I ask why you divide the standard deviation by the square root of the number of observations? As I was doing other problems with T statistics and there you divided only over the standard deviation, but as it was in regression analysis you had the formula b1^-b1/standard divination of b1^. It is probably obvious, but I cannot figure out why.
I think you are the closest thing to god we have in this world
in the problem no. 2, it is a left tailed test therefore if it is 0.99 confidence, its alpha is 0.005 not 0.01, because 0.01 is for two tailed test only.
no it would be 0.005 for 2 tailed test because u have 0.01 split over 2 zones, right and left
@@SirGrizzlyman exactly
He's actually right but alpha is 0.01 but alpha/2 is 0.05 one tail should be used so 3.250 not 2.82
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wow,i was to compalain about the values of 1.96,but then i have realised,patience was being tested on my side.Thanks sir for your wonderful approach
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