6.62. Refer to the previous exercise and the P-value of 0.057.

(a) Explain why the P-value is the smallest alevel at which Hq can be rejected; that is. P equals the smallest level at which the data are significant.

(b) Refer to the correspondence between results of confidence intervals and two-sided tests.

When the P-value is 0.057, explain why the 6.63. A researcher conducts a significance test every time she analyzes a new data set. Over time, she conducts 100 tests.

(a) Suppose Hq is true in every case. What is the distribution ofthe number oftimes she rejects Hq at the 0.05 level?

(b) Suppose she rejects Hq in five of the tests. Is it plausible that Hq is correct in every case?

Explain.