Question

Based on the sample data, the P-value for a two-sided test of the null hypothesis H0:μ=10H0:μ=10 vs. H1:μ≠10H1:μ≠10 is 0.06. Which of the following statements is correct?
A. the 95% confidence interval includes the value 10
B. the 68% confidence interval includes the value 10
C. the 90% confidence interval includes the value 10
D. None of the above

Answer 1

Given that he sample data, the P-value for a two-sided test of the null hypothesis

H0:μ=10 - Null Hypothesis vs.

H1:μ≠10 - Alternate Hypothesis

is 0.06.

So to reject the the null hypothesis the P-value must be less than the level of significance.

and at 95% confidence level the level of significance is 1-0.95 = 0.05 and the P-value is grater than the 0.05 value hence we cannot reject the null hypothesis so, we can interpret that :

A. the 95% confidence interval includes the value 10