In a survey of American drivers, 79% of women drivers and 85% of men drivers said that they exceeded the speed limit at least once in the past week. Suppose that these percentages are based on random samples of 600 women and 700 men drivers.

a. Let p₁ and p₂ be the proportion of all women and men American drivers, respectively, who will say that they exceeded the speed limit at least once in the past week.
Construct a 98% confidence interval for p₁ − p₂.
b. Using a 1% significance level, can you conclude that p₁ is lower than p₂? Use both the critical-value and the p-value approaches.