In a CBS News survey done in 2009, 95% of n = 346 randomly sampled married men said that they would marry their spouses again if they had it to do all over again. In the same survey, 85% of n = 522...

In a CBS News survey done in 2009, 95% of n = 346 randomly sampled married men said that they would marry their spouses again if they had it to do all over again. In the same survey, 85% of n = 522 married women said that they would marry their spouses if they had it to do all over again (Source: www.cbsnews.com/htdocs/pdf/ Poll_Jan10dLove.pdf).

a. Calculate a 95% confidence interval that estimates the difference in proportions of married women and men who would marry their spouse again if they had it to do all over again.

b. On the basis of the confidence interval determined in part (a), can we infer that the population proportions who would marry their spouse again differ for men and women? Explain.