In a random sample of 360 women, 65% favored stricter gun control laws. In a random sample of 220 men, 60% favored stricter gun control laws.

In a random sample of 360 women, 65% favored stricter gun control laws. In a random sample of 220 men, 60% favored stricter gun control laws.

a. Construct a 95% confidence interval for the difference in proportion of women who favor stricter gun control laws versus men who favor stricter gun control laws.

b. Does the interval contain zero? What does this mean?