The table shows results from the 2008 General Social Survey on gender and whether or not one believes in an afterlife.

a. Denote the population proportion who believe in an afterlife by p1 for females and by p2 for males. Estimate p1, p2, and (p1 - p2).
b. Find the standard error for the estimate of (p1 - p2). Interpret.
c. Construct a 95% confidence interval for (p1 - p2). Can you conclude which of p1 and p2 is larger? Explain.
d. Suppose that, unknown to us, p1 = 0.81 and p2 = 0.72. Does the confidence interval in part c contain the parameter it is designed to estimate? Explain.

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Belief in Afterlife Gender Female Male No es 599 425 Total 710 593 168