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 α = 0.05, to compare the population proportions of females and males who would respond yes to belief in an afterlife. State the p-value of the observed test-statistic. What conclusion can be made based on the p-value?  What type of an error could you be making based on your decision in question f?  Find the 95% CI for the difference between the proportion of males and females who believe in the afterlife. Interpret this interval in the context of hypothesis testing.

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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 test, using α = 0.05, to compare the population proportions of females and males who would respond yes to belief in an afterlife.

  1. State the p-value of the observed test-statistic.

  2. What conclusion can be made based on the p-value?

  3.  What type of an error could you be making based on your decision in question f?

  4.  Find the 95% CI for the difference between the proportion of males and females who believe 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
594
Total by Belief in Afterlife 1,024 279
1,303
Transcribed Image Text:Belief in Afterlife Gender Yes No Total by Gender Female 600 109 709 Male 424 170 594 Total by Belief in Afterlife 1,024 279 1,303
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