Exercise 6.51

6.51 One-sided and two-sided P-values. The P-value for a two-sided significance test is 0.076.

(a) State the P-values for the two one-sided tests.
(b) What additional information do you need to properly assign these P-values to the > and < (one-sided) alternatives?

6.51 (a) P-value = 0.038; P-value = 0.962. (b) Suppose the null hypothesis is H₀: $μ$ = $μ$ ₀. The smaller P-value (0.038) goes with the one-sided alternative that is consistent with the observed data.