Amagazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. but does trust in this social networking site differ by gender? the following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site.
sample
women - 150
men - 170
trust recommendations made on the social networking site
women - 123
men - 102
(a) what is the point estimate of the proportion of women who trust recommendations made on this particular social networking site?
(b) what is the point estimate of the proportion of men who trust recommendations made on this particular social networking site?
(c) provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site.