The table shows results from the 2014 General Social Survey on gender and whether 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 Yes Total Gender No Female Male 1026 757 1233 1009 207 252