Problem
Part I: 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 for being picked on the jury, show all steps of a significance test of the hypothesis that the selections are random with respect to gender.
1. Set up notation and hypotheses, and specify assumptions.
2. 5 of the 40 selected were women. Find the test statistic.
3. Report the P-value, and interpret.
4. Explain how to make a decision using a significance level of 0.01.
Part II
Type I and Type II errors Refer to the previous exercise.
1. Explain what Type I and Type II errors mean in the context of that exercise.
2. If you made an error with the decision in part d, is it a Type I or a Type II error?