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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

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.

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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

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