16 Table 7.10 shows results from a recent General Social Survey on two variables. gender and whether one believes in an afterlife.

a) Which of the two variables is more naturally treated as the response variable?

b) Let 7, denote the population proportion of females who would respond "yes" to wheth- er they believe in an afterlife, and let denote the population proportion for inales Con- struct a 95% confidence interval for - #2, and interpret.

c) Is it plausible that = 72? Explain.

d) Suppose, unknown to us, that = .78 and 2.71. Does the confidence interval in TABLE 7.10 Belief in Afterlife Gender Yes No or Undecided Total Feinale 435 Male 375 147 134 582 509

(b) contain the value of the parameter it is designed to estimate? Explain

e) Conduct a test of Ho: = Make a decision using a = .05 If you have made an error, what type of error is it. Type I or Type II?