1. A two sample z-test for two population proprotions is to beperformed using th
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1. A two sample z-test for two population proprotions is to beperformed using the P-value approach. The null hypothesis is Ho ;P1=P2 and the alternative is Ha; P1 #P2. Use the given sample data tofind the P-value for the hypothesis test. A new manager started a program on employee sick leave. Themanager later compares the sick leave rate prior to the programstarting (65 out of 250 employees were sick) to the sick leave rateone month into the program (55 out of 253 employees weresick) A. P-value = 0.1314 B. P-value = 0.2623 C. P-value = 0.8686 D. P-value = 0.0239 E. P-value = 0.1102 2. Construct the indicated confidence interval for thedifference in proportions. Assume that the samples are independentand that they have been randomly selected. A survey of randomly selected college students found that 58of the 90 freshmen and 61 of the 125 sophmores surveyed hadpurchased used textbooks in the past year. Construct a 98%confidence inteval for the difference in the proportions of collegefreshmen and sophmores who purchased used textbooks. A. (-0.001, 0.314) B. (0.486,0.777) C. (0.024, 0.777) D. (0.486, 0.803) E. (0.511, 0.777) 3. Suppose that you perform a two-proportion z-test and rejectthe null hypothesis that there is no difference in the twoproportions. If that conclusion is actually wrong, which type oferror did you commit? A. Type I B. Type II 1. A two sample z-test for two population proprotions is to beperformed using the P-value approach. The null hypothesis is Ho ;P1=P2 and the alternative is Ha; P1 #P2. Use the given sample data tofind the P-value for the hypothesis test. A new manager started a program on employee sick leave. Themanager later compares the sick leave rate prior to the programstarting (65 out of 250 employees were sick) to the sick leave rateone month into the program (55 out of 253 employees weresick) A. P-value = 0.1314 B. P-value = 0.2623 C. P-value = 0.8686 D. P-value = 0.0239 E. P-value = 0.1102 2. Construct the indicated confidence interval for thedifference in proportions. Assume that the samples are independentand that they have been randomly selected. A survey of randomly selected college students found that 58of the 90 freshmen and 61 of the 125 sophmores surveyed hadpurchased used textbooks in the past year. Construct a 98%confidence inteval for the difference in the proportions of collegefreshmen and sophmores who purchased used textbooks. A. (-0.001, 0.314) B. (0.486,0.777) C. (0.024, 0.777) D. (0.486, 0.803) E. (0.511, 0.777) 3. Suppose that you perform a two-proportion z-test and rejectthe null hypothesis that there is no difference in the twoproportions. If that conclusion is actually wrong, which type oferror did you commit? A. Type I B. Type IIExplanation / Answer
Sample X N Sample p
1 65 250 0.260000
2 55 253 0.217391
Sample X N Sample p
1 58 90 0.644444
2 61 125 0.488000
Difference = p (1) - p (2)
Estimate for difference: 0.156444
98% CI for difference: (-0.000386628, 0.313276)
Test for difference = 0 (vs not = 0): Z = 2.32 P-Value= 0.020
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