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

(a) Explain why the P-value is the smallest α-level at which H0 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 94.3% confidence interval is the narrowest confidence interval for μ that contains

μ0 = 100.