According to a Randstad Global Work Monitor survey, 52% of men and 43% of women said that working part-time hinders their career opportunities (USA TODAY, October 6, 2011). Suppose that these results are based on random samples of 1350 men and 1480 women.
a. Let p1 and p2 be the proportions of all men and all women, respectively, who will say that working part-time hinders their career opportunities. Construct a 95% confidence interval for p1 – p2.
b. Using a 2% significance level, can you conclude that p1 and p2 are different? Use both the critical-value and the p-value approaches.