Multiple Choice:
How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of 95 single men showed that 24% went out dancing occasionally. Another random sample of 92 single women showed that 21% went out dancing occasionally. Is the proportion of single men who go out dancing occasionally higher than the proportion of single women? Use a 5% level of significance.
If men are group 1 and women are group 2,
A. What is the critical value for this hypothesis test?
1). 2.575
2). 1.28
3). 1.645
4). 1.96
5). 2.33
B. What is the test statistic for this hypothesis test?
1). 0.402
2). 0.344
3). 0.217
4). 0.242
5). 0.230
C. What is the p-value for this hypothesis test?
1). 0.217
2). 0.344
3). 0.242
4). 0.656
5). 0.688
D. what is the decision for this hypothesis test?
1). Reject the null because the p-value is greater than the significance level and the test statistic is in the critical region.
2). Fail to reject the null hypothesis because the p-value is greater than the significance level and the test statistic is in the critical region.
3). Fail to reject the null hypothesis because the p-value is greater than the significance level and the test statistic is not in the critical region.
4). Fail to reject the null hypothesis because the p-value is less than the significance level and the test statistic is in the critical region.
5). Reject the null because the p-value is less than the significance level and the test statistic is in the critical region.
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