A certain population follows a Normal distribution with mean

A certain population follows a Normal distribution, with mean and standard deviation = 2.5. You collect data and test the hypotheses H0: = 1, Ha: 1 You obtain a P-value of 0.072. Which of the following is true? A. A 90% confidence interval for will exclude the value 1. B. A 90% confidence interval for will include the value 0. C. A 95% confidence interval for will exclude the value 1. D. A 95% confidence interval for will include the value 0.

Solution

P-value of 2 tailed test is 0.072, thus, we fail to reject at 10% level => 90% CI will include test mean = 1, but not 95%

C. A 95% confidence interval for will exclude the value 1