AP Statistics Problem

A CBS News poll asked 606 randomly selected women and 442 randomly selected men, "Do you think putting a special tax on junk food would encourage more people to lose weight?" 170 of the women and 102 of the men said "Yes." A 99% confidence interval for the difference (Women - Men) in the true proportion of people in each population who would say "Yes" is -0.020 to 0.120. Does the confidence interval provide convincing evidence that the two population proportions are equal? Explain your answer. No. Because the conditions are not met, the interval cannot provide evidence that the two population proportions are equal. No. Because the interval contains 0, there is not convincing evidence that the two population proportions are equal. Yes. Because the interval is based upon two independent random samples, there is convincing evidence that the two population proportions are equal. Yes. Because the interval contains 0, there is convincing evidence that the two population proportions are equal. )No. Because 0 is captured in the interval, we think that it is plausible that the population proportions are equal, but this does not provide convincing evidence that the two proportions are equal