3. BH Associates conducted a survey in 2016 of 2000 workers who held white-collar jobs and had changed jobs in the previous twelve months. Of these workers, 56% of the men and 35% of the women were paid more in their new positions when they changed jobs. Suppose that these percentages are based on random samples of 1020 men and 980 women white-collar workers.

a) Construct a 95% Confidence Interval for the difference between the two population proportions.

( ______ , ______ )

b) Using the 2% significance level, can you conclude that the two population proportions are different. Use the p-value approach only.

Result ____________________________________