Hypothesis testing for Normal Distribution - Critical values method (3 examples) | ExamSolutions

Critical values method

In this tutorial, we work through 3 examples of using the critical value method to determine, determine whether to accept or reject the null hypothesis.

[ExamSolutions_Maths]

The p-value in the 1st example should be 0.0143... and not 0.03.

[suki]

Really clear and structured working out. Thank you!

[LakshyaHangRai]

thank you examsolutions from the bottom of my heart. It really helped me a lot. I am doing self study on a level further math and it really made things clear to me. THANK YOU <3.

[nihaldhinsa]

Amazing videos, couldn’t understand it for hours, watch these videos and I feel fine thanks so much

[yazidarezki]

Excellent explanation, I have tried the left tailed and I am finding a different p-value, Z value is equal to -2.1875 and therefore the p-value is equal to roughly 0.0144 and not 0.03. Could you explain how did you find 0.03. Thanks

[DavidSmith-fyew]

In examples 2 and 3 you "Accept H0". Whist this is tolerated in the exam, it is best practice to say that we "Do not reject H0".

In your example, it seems a bit silly to 'accept' something when it is extremely unlikely that it is actually true (even though we don't have enough evidence at the 5% level to conclusively say so).