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 in order to test the hypotheses H0: ? = 1, Ha: ? ? 1. You obtain a P-value of 0.022. Which of the following is true?

A.) A 95% confidence interval for ? will include the value 1.

B.) A 95% confidence interval for ? will include the value 0.

C.) A 99% confidence interval for ? will include the value 1.

D.) A 99% confidence interval for ? will include the value 0.

Solution

I think that C

A certain population follows a normal distribution with mean ? and standard deviation ? = 2.5. You collect data in order to test the hypotheses H0: ? = 1, Ha: ?

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