The following table shows results from the 2014 General Social Survey on belief in the afterlife, classified by gender. Conduct all steps of a significance test, using ? = 0.05, to compare the population proportions of females and males who would respond yes to belief in an afterlife.

a What was the estimated proportion of males wbo believe in the afterlife? b What was the estimated standard error of males who believe in the afterlife? c What is the estimated difference in proportion between males and females who belief in the afterlife? d State the null and alternative hypothesis in the context of this study. 1 e State the p-value of the observed test-statistic. f What conclusion can be made based on the p-value? g What type of an error could you be making based on your decision in question f? h Find the 95% CI for the difference between the proportion of males and females who belief in the afterlife. Interpret this interval in the context of hypothesis testing.

Belief in Afterlife Gender Yes No Total by Gender Female 600 109 709 Male 424 170 59/1l Total by Belief in Afterlife 1,024 279 1,303