2 STAT HOMEWORK QUESTIONS

1.

What is the conclusion for this test? Use a significance level of 0.05. Do not reject Ho. There is a significant difference in rate of smiling for men and women. Reject Ho. There is a significant difference in rate of smiling for men and women. Do not reject Ho. There is not a significant difference in rate of smiling for men and women. Reject Ho. There is not a significant difference in rate of smiling for men and women. c. Explain the size of the p-value compared to the difference in the sample percentages. Choose the correct answer below. A. The p-value is small compared to the small relative difference in the sample percentages because a small difference leads to a large absolute value of the test statistic and a small p-value. B. The p-value is large compared to the small relative difference in the sample percentages because of the small sample sizes. C. The p-value is small compared to the small relative difference in the sample percentages because of the large sample sizes. D. The p-value is large compared to the small relative difference in the sample percentages because a small difference leads to a small absolute value of the test statistic and a large p-value.a. Find and compare the sample percentages of men who were smiling and women who were smiling. The percentage of men who were smiling in the sample was .70. (Round to two decimal places as needed.) The percentage of women who were smiling in the sample was -%. (Round to two decimal places as needed.) Compare the sample percentages. The percentage of people who were smiling was greater for the - b. Treat this as though it was a random sample, and test whether there are differences in the proportion of men and the proportion of women who smile. Use a signicance level of 0.05. Determine the hypotheses for this test. Let p1 represent the population proportion of men who smile, and let p2 represent the population proportion of women who smile. Choose the correct answer below. A. H0:p1=p2 B. Ho:p1p2 HA: 91 51E92 HA3P1=92 HA3P1=92 D. H0:p1p2 E. H0:p1 =p2 F. H0:p1= p2 HA2p1=p2 HA3 P1 >92 HA3P1