9.13 Compare the chi-square test with the z test. Refer to the previous two exercises and the significance test for comparing two proportions (page 512).

  1. (a) Set up the problem as a comparison between two proportions. Describe the population proportions, state the null and alternative hypotheses, and give the sample proportions.

  2. (b) Carry out the significance test to compare the two proportions. Report the z statistic, the P-value, and your conclusion.

  3. (c) Compare the P-value for this significance test with the one that you reported in the previous exercise.

  4. (d) Verify that the square of the z statistic is the X2 statistic given in the previous exercise.