Hypothesis Testing Problems - Z Test & T Statistics - One & Two Tailed Tests 2

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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?

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[@NONAME-yv3lq]

How did he get the 0.025??

[@NONAME-yv3lq]

Please enlighten mee

[@jesperlundin1032]

@@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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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.

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The alternative hypothesis is not rejected when the null hypothesis is rejected?

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[@RomeoJ1996]

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.

[@yourpapa6641]

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

[@haleylearn]

This is my question, thank you so much

[@los1868]

"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?

[@yourpapa6641]

@@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!

[@Nana-fe8iv]

Thank you man

[@souben2147]

do you mean the T table because in z score table there is no alpha or deg of freedom ?

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I've watched videos that teach the t-test but this video explained the purpose and calculations more masterfully. Thank you.

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[@animanfan5442]

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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Literally the first person that has helped me make sense of the "reject/not reject". Great teacher!

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I'm currently preparing for the CFA exam. You clearly and easily explained this material in under 14 minutes whereas my study guide devotes a 20- page chapter. THANK YOU!!

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Agreed. Used for my CFA, by far a much clearer explanation

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Ah, hello there, fellow CFA folks. This man does make hypothesis testing much easier!

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Best video in hypothesis. I spent days listening to hours and hours of videos on hypothesis but this is the best one

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Thank you, man. Exactly this question was given as the take home test and I get done within few minutes after watching.

[@johnbuttersworth584]

Thank you ! I never understood the one and two tailed test before and watching this video will help me with my biostatistics class.!

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Your videos on youtube are simply the best it has help me to validate all my Biochemistry courses. Thank you JG. I wish I could make videos like you just that I don't have the equipments 😁

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Same, I think we should. It would help our fellow STEM colleagues so they won't get stuck on this and can instead use their minds to advance the fields and postulate new ideas. Any help would be useful

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Very helpful review for a college student who has taken stats in pasts semesters and wants to teach it. Thank you!

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My university professor discussed this for 3hours, yet nothing came into my mind lmao😂 this 13mn discussion makes me feel smart y'all

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[@PRubin-rh4sr]

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

[@stephaniandrea5726]

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

[@TheBeccaFashionVlogs]

@@stephaniandrea5726 Mine did

[@killergames3634]

@@stephaniandrea5726 if u unknow SD but ur sample is >30, u can use T-test ecuation to know Z value

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This entire comment section...THANK YOU ❤️

[@vanttw6168]

@@killergames3634 why is it 30?

[@toorisky9527]

Thanks I was confused because I was using the Zc value for the critical region instead of the z table value..I'm clear now

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Null hypothesis of life: life is painful because of those non departmental courses, which you can't reject

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[@tanvigandhi8752]

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

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[@monmontv2664]

How did we get the 1.96?

[@harivanshmathur3394]

kzbin.info/www/bejne/qXvci2ysh82DbdE

[@animanfan5442]

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.

[@pamjarina8201]

@@animanfan5442 where can I find it?

[@animanfan5442]

@@pamjarina8201 just search for Z/t values. It’s like searching the value of pi

[@kanishka.b8550]

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.

[@demiadeoye3869]

You didn’t explain how to get the critical values

[@tylerx8848]

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.

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[@vinayvyraveraja7102]

for the first question, since the sd was from the sample of 40, shouldnt we find the unbiased estimate of the sample variance first ?

[@dekkooo6425]

Honestly your teaching is far more better than my teacher. Keep up the good work sir.

[@randylinarto2237]

why is the critical value 1.96 ?

[@tarunkhandelwal1101]

Use z table

[@thanosgalactos1449]

In a normal distribution curve 95% of the values lie between -1.96SD to 1.96SD. 99% of values lie between 2SD to 2 SD.

[@moyinoluwaolaoluwa6712]

You take that 0.95, subtract it from 1, you get 0.05, divide it by 2, you get 0.025. Then you go to your z distribution table to look for 0.025, it's under 1.96

[@BisayangAtin]

We'll take our exam on Statistics a few hours from now and your video is a big help for me to answer my exam. Thank you!

[@obaidullahnajimi1249]

I didn't understand can you help me

[@ibrahimabdoullah5906]

Where did you get the 1.96

[@gracewangare3966]

That's my wonder too

[@VikingCanadian]

Normal Distribution Tables, You do Area Left = (1 + cl )/2 then you at what exactly that area corresponds to as a Z value.

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You've single handedly have been carrying me through STEM for the past half decade

[@bestservedrandom2892]

can somebody tell me where 1.96 came from in the first example pls

[@Bu0Musa]

He got another video about finding the z-score in his channel Search and you’ll find it.

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I was wondering the same thing...did you ever figure it out?

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it's you who should receive my tuition fee as opposed to my professor and the school at large. you do a wonderful job.

[@jasonkimjabla1767]

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.

[@SirGrizzlyman]

no it would be 0.005 for 2 tailed test because u have 0.01 split over 2 zones, right and left

[@noelahkiprop5363]

@@SirGrizzlyman exactly

[@pazqa1794]

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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Short and straight to the point. You are always there to for us as science students Sir and thank you so much.

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Did you pass?

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This makes me crystal clear on null and alternative hypothesis testing.... Thank you so much for this video

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THANK YOU SO MUCH. Seeing these brilliantly simple to understand examples is really helpful for me to conceptulize the topic

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[@emmanuelajibola3586]

Thank you so much man. I'm having an exam in the next 5hrs You really explained this well 😊

[@DominiCBETT-kr3gl]

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