The P-value for a two-sided test of the null hypothesis H0: = 25 is 0.032. (a) D

Question

The P-value for a two-sided test of the null hypothesis H0: = 25 is 0.032.

(a) Does the 95% confidence interval include the value 25? Why?

Yes, 25 is in the 95% confidence interval, because P = 0.032 means we reject H0 at = 0.05.

Yes, 25 is in the 95% confidence interval, because P = 0.032 means we fail to reject H0 at = 0.01.

Yes, 25 is in the 95% confidence interval, because P = 0.032 means we fail to reject H0 at = 0.05

. No, 25 is not in the 95% confidence interval, because P = 0.032 means we reject H0 at = 0.05.

No, 25 is not in the 95% confidence interval, because P = 0.032 means we fail to reject H0 at = 0.05.

(b) Does the 99% confidence interval include the value 25? Why?

Yes, 25 is in the 99% confidence interval, because P = 0.032 means we reject H0 at = 0.01.

Yes, 25 is in the 99% confidence interval, because P = 0.032 means we fail to reject H0 at = 0.01

. No, 25 is not in the 99% confidence interval, because P = 0.032 means we reject H0 at = 0.01.

No, 25 is not in the 99% confidence interval, because P = 0.032 means we reject H0 at = 0.10

. No, 25 is not in the 99% confidence interval, because P = 0.032 means we fail to reject H0 at = 0.01.

Explanation / Answer

a)

No, 25 is not in the 95% confidence interval, because P = 0.032 means we reject H0 at = 0.05

b)

Yes, 25 is in the 99% confidence interval, because P = 0.032 means we fail to reject H0 at = 0.01

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