Question

A test of Ho:mu=0.36 vs Ha: mu not=0.36 resulted in a p-value of 0.004. We can predict that, using the same data set:

• the 90% CI for mu                            [ Select ]                       ["", "will", "will not", ""]         include 0.36
• the 95% CI for mu                            [ Select ]                       ["will", "will not"]         include 0.36
• the 99% CI for mu                            [ Select ]                       ["will", "will not"]         include 0.36

Answer 1

Solution:

Test hypothesis:
Ho:mu = 0.36 vs Ha: mu ≠ 0.36
given P-value = 0.04

If the P-value is less than α = 0.05
Reject the null hypothesis H0.
Otherwise, we do not reject null hypothesis H0.

If the P-value is 0.04 and is less than the level of significance is α = 0.05.
Reject the null hypothesis H0.
Otherwise, we do not reject null hypothesis H0.

Hence, we conclude that the population mean is not equal to 0.36.
The 90% confidence interval will not include 0.036
The 95% confidence interval will not include 0.036
The 99% confidence interval will not include 0.036