9.78 Jurors and gender A jury list contains the names of all individuals who may be called for jury duty. The proportion of the available jurors on the list who are women is 0.53.

If 40 people are selected to serve as candidates to serve on the jury, show all steps of a significance test of the hypothesis that the selections are random with respect to gender.

a. Set up notation and hypotheses and specify assumptions.

b. Five of the 40 selected were women. Find the test statistic.

c. Report the P-value and interpret.

d. Explain how to make a decision using a significance level of 0.01.