Super Easy Tutorial on the Probability of a Type 2 Error! - Statistics Help

A clear and simple explanation of the steps to calculating the probability of a Type 2 error. It's actually very easy!
This is a tutorial on calculating the probability of a Type 2 error in a hypothesis testing question. It is assumed the viewer has some basic understanding of hypothesis testing, such as:
• Setting up the null & alternate hypothesis
• Rejection regions
• Standardising a sample mean on the normal distribution
• Using the cumulative standard normal probability tables
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Super Easy Tutorial on Calculating the Probability of a Type 2 Error:
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Keywords: statistics, statistics help, statistics tutor, statistics tuition, hypothesis testing, regression analysis, university help, stats help, simple regression, multiple regression, econometrics, type 2 error, type II error, errors, type 1 error

[@QuantConceptsE]

Hi my viewers! Are you in need of an online tutor? If so, check out the video description for details 😊

[@cristabellawolff452]

This is the clearest explanation I've found for this type of problem so far

[@stevebuscemi4669]

Very well done my friend. Thank you.

[@mariahalvarado6070]

this is the best tutorial to follow…would give two thumbs up if I could

[@carlosvalencia431]

you boss... after a bunch of books, webpages, and a lot of guys I finally get it. thanks a lot. Regards from Mexico

[@sandydandy53]

I had to subscribe you broke down the information in layman. God bless you

[@hegartyphilip9974]

Thank you for this, its indeed concise

[@joydeep.vasudeva]

Seeing this 15 minutes before my statistics exam. Now I want them to put a beta question on the test. Thanks for explaining it so clearly.

[@onedirection2311]

you saved my life thank you so much

[@amiraliomidfar5560]

That was really helpful. Thanks so much

[@lillianmchowrifkin7909]

This is awesome! Thank you!

[@Hky141230]

Its reli detailed!!!!! thanksssss

[@JeffreyBos97]

Thank you very much for making me understand this

[@dydwnsTJ]

Thank you so much from the bottom of my heart...

[@sabarirajansingaravelu4684]

Finally understood. Thanks a lot

[@barbiibrigitte7547]

master! well explained it!

[@darioc3833]

Super clear! Thanks

[@liz90598]

thank you ! very helpful

[@mehrdadkazemi3969]

very helpful thank u so much

[@mickymathew5652]

Thank You. Can this same methodology be applied to trend test post hoc? without monte carlo simulations?

[@sturdyplum]

Thanks!

[@yaolin9198]

omg the best one. upload more please

[@jasmine.6021]

y did you take 0.12714 (which corresponds to 0.04 up the column)?

[@FinallyDenial]

THANK YOU SO MUCH!!

[@SabreenaMerchant]

this is very helpful!

[@jonathanglass4420]

That was great. Thanks for explaining so clearly!

[@Krishnayadav_04]

Thank you so much

[@chuangtian3683]

very useful

[@anushkagupta1163]

I might pass my statistics exam just because of you

[@angadsingh_13]

Amazing.

[@johnding289]

thanks a lot :)

[@HBQ]

BLESS YOUR SOUL

[@samueldarenskiy6893]

So is c the x bar?

[@JoeSki5280]

thanks, mate

[@piyushbhatia8447]

Thanks :)

[@thatswhatisaidbunnybread.5317]

But this was actually very helpful. Explained so much better than my Korean professors. 😒

[@wolfgangi]

Your explanation is so much better than jbstatistics tryhard that over completely over complicated the problem

[@habibrahman9976]

you are a boss

[@jiwonkim9001]

at 2:03 If Peter claimed that the average is less than 60 percent why did you set it to H1, not H0

[@TOUET]

Jiwon Kim yes why???😪

[@QuantConceptsE]

Hi Jiwon, H0 always contains the equal sign. Check out this video that may help: ruclips.net/video/R2hxisYFKxM/видео.html

[@hach1210]

Rly fkn helpful. thanks you

[@linadevaul6716]

Very good job! What to do when the population mean is unknown? In real studies, it is normally hard to know the population mean. People can use literature data. However, how about there is no literature prior data?

[@QuantConceptsE]

Hi Lina,
In reality, (as you correctly point out) it is impossible to calculate the probability of a Type 2 error as the population mean is unknown.
What we can do is use hypothetical population means, and calculate the prob of Type 2 errors. So for example, "IF the population mean was 100, what is the prob of a Type 2 error? What is the population mean was 90 instead? 80? 70?".
These values can then be compared with a competing test, and we can see which test has more power (less probability of commiting a Type 2 error).
Hope this helps!
David

[@linadevaul6716]

+Quant Concepts thanks! It helps a lot! 👍

[@jiahaoliu990]

hello i am just confused about the formula you are using to standardise the distribution, the one I am using is which X-M/standard deviation, i dont know why you wrote standard deviation/ squre root of sample size?

[@ciara8843]

Sx divided by the square root of the sample size gives you the estimate for Sigma, or the population standard deviation. He had the sample standard deviation so he needed to use that formula

[@jiahaoliu990]

Ciara TheTurtle alright thx already pass the exam!;)

[@thatswhatisaidbunnybread.5317]

I’ll just take the F. 🤷🏾‍♂️

[@johnmarkcorpuz7686]

@ 2:12 can someone please enlighten me. his first Ho used greater than or equal to. but upon rewriting it was already plain equals. why did he do this?

[@ciara8843]

Null hypotheses are always equality statements

[@johnmarkcorpuz7686]

If that is the case then why did he write first the null hypothesis to be myu is greater than or equal to 60? why not write it immediately as myu equals 60? I'm still confused, thanks for the reply though!

[@ciara8843]

I think it was just a way that's easier for people to see and understand. You know what your alternative is (mu < 60), so to figure out what your null is, you start it out as the opposite of your alternative (mu >= 60), then transfer it to equality. I'm not 100% sure why he chose to write it like that, though

[@johnmarkcorpuz7686]

thank you so much. i agree with your explanation. 😁

[@flyingboat10]

Does this mean the probability of a type 1 error is 0.12714 or 1-probability of type 2 error?

[@andrewagyeman3338]

probability of a type 1 error is the significance level given

[@rustamgarg2811]

Hello Sir , How to determine Z value ?? where do I get this Z value chart for see Z value of significance level?? Please help me

[@yegwak4228]

this is the important question you dont want to teach where do you get 0.12714

[@aopu345]

so u didnt had to use the sample average 57%?

[@QuantConceptsE]

+aopu345 Yup, you don't need the sample average when calculating the Type 2error. All you need are the true population mean and the hypothesised population mean.

[@OrangeLmao]

please replace my ap stats teacher

[@amberyoung5952]

sexy British accent! very helpful

[@WBFC1995]

amber yang It's an Australian accent.

[@psynostic]

Type II error.

[@johnmcclaine8749]

7:29 thats what she said