6. You are testing the following two tailed hypothesis test: H0:  = 40, Ha:  ≠ 40 based on a sample size of n = 15 resulting in a p-value of 0.877. Explain why you would or would not reject the null hypothesis at a 5% level of significance, assuming the population was approximately normal?

Question

6.	You are testing the following two tailed hypothesis test:    H0:  = 40,   Ha:  ≠ 40 based on a sample size of n = 15 resulting in a p-value of 0.877.  Explain why you would or would not reject the null hypothesis at a 5% level of significance, assuming the population was approximately normal?

suwhitney · Answer

H0: u = 40,   Ha: u ≠ 40

reemii · Answer

At the moment, the p-value is 8% which means "accept the null hypothesis at 5% sign. level".
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But since $n=15$ is a "small" value (~30 is more comfortable), things might change but we have no information about that.

So I bet the answer is just 'accept H0'.