Refer to given Exercise.
a. Calculate a table of expected counts for the data in given Exercise.
b. Show calculations verifying that the value of the chisquare statistic is 17.78.
Exercise
The 2 × 2 contingency table that follows shows data for sex and opinion on the death penalty for respondents in the 2008 General Social Survey in which a random sample of adults in the United States was surveyed. (Raw data are in the GSS-08 dataset on the companion website.)
|
Opinion on Death Penalty
|
|
|
Oppose
|
Favor
|
All
|
|
Male
|
254
|
631
|
885
|
|
Female
|
385
|
632
|
1017
|
|
All
|
639
|
1263
|
1902
|
a. Write null and alternative hypotheses about the relationship between the two variables in this problem.
b. For this table, the value of the chi-square statistic is 17.78, and to three decimal places, the corresponding pvalue is .000. Based on these results, state a conclusion about the two variables, and explain why you came to this conclusion.
c. For each sex separately, calculate the percentage who were opposed to the death penalty. Explain whether these percentages are evidence that opinion about the death penalty is related to sex.