Question: In a survey of college students, 70% (.70) of the 100 women surveyed said that they believe in love at first sight, whereas only 40% (.40) of the 80 men surveyed said that they believe in love at first sight.
a. Find the value of the difference between the sample proportions for men and women.
b. Find the standard error of the difference between the sample proportions.
c. Find an approximate 95% confidence interval for the difference between population proportions believing in love at first sight for men versus women. (Use z* = 2)
d. On the basis of the confidence interval found in part (c), is it reasonable to conclude that there is a difference in the proportions of all college men and women who believe in love at first sight? Explain.