The pvalue for a twosided test of the null hypothesis H0 1

The p-value for a two-sided test of the null hypothesis H₀: ? = 10 is 0.06.

Would a 90% confidence interval for ? include the value 10?

A. No. A p-value of 0.06 indicates that the results observed are statistically significant at the 10% level, so the 90% confidence interval will not include 10.

B. No. A p-value of 0.06 indicates that the results observed are not statistically significant at the 10% level, so the 90% confidence interval will not include 10.   

C. Yes. A p-value of 0.06 indicates that the results observed are statistically significant at the 10% level, so the 90% confidence interval will include 10.Yes.

D. A p-value of 0.06 indicates that the results observed are not statistically significant at the 10% level, so the 90% confidence interval will include 10.

Solution

Since the p-value is less than 0.1, we reject the null hypothesis.

Answer: A. No. A p-value of 0.06 indicates that the results observed are statistically significant at the 10% level, so the 90% confidence interval will not include 10.