Chapter 10.2, Problem 72E

To determine

To select which of the following is true based on the previous P -value.

Answer to Problem 72E

Option (d) is the correct option.

Explanation of Solution

It is given:

  $P=0.002$

If the P -value is smaller than the significance level, then we reject the null hypothesis. Thus, we note that we reject the null hypothesis at the significance level $0.001$ , while we fail to reject the null hypothesis at the significance level $0.01,0.05,0.10$ .

The confidence interval will contain zero if we reject the null hypothesis at the corresponding significance level. Then we then note that the $99.9\%$ confidence interval will contain zero because we reject the null hypothesis at the corresponding significance level $0.001$ . Thus, option (d) is the correct option.