10.8 Significance test for aspirin and cancer deaths study In the study for cancer death rates, consider the null hypothesis that the population proportion of cancer deaths p1 for placebo is the same as the population proportion p2 for aspirin. The sample proportions were pn 1 = 347>11535 = 0.0301 and pn 2 = 327>14035 = 0.0233.

a. For testing H0: p1 = p2 against Ha: p1 • p2, show that the pooled estimate of the common value p under H0 is pn = 0.026 and the standard error is 0.002.

b. Show that the test statistic is z = 3.4.

c. Find and interpret the P-value in context.