A two-sample z-test for two population proportions is to be performed using the P-value approach. The null hypothesis is H: P, = P2 and the altemative is H: P, * P2. Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the p-value. A state university found it lost 25 students out of 352 in 2013 and 36 students out of 334 in 2014. O A. P-value = 0.0455; If there is no difference in the proportions, there is about a 4.55% chance of seeing the observed difference or larger by natural sampling variation. O B. P-value = 0.091; If there is no difference in the proportions, there is about a 9.1% chance of seeing the observed difference or larger by natural sampling variation. OC. P-value = 0. 091; There is about a 9.1% chance that the two proportions are equal. O D. P-value = 0. 0455; There is about a 4.55% chance that the two proportions are equal. O E. P-value = 0.9545; If there is no difference in the proportions, there about a 95.45% chance of seeing the observed difference or larger by natural sampling variation.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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A two-sample z-test for two population proportions is to be performed using the P-value approach. The null hypothesis is Ho: P, =p, and the altermative is H: P, #P2. Use the given sample data to find the P-value for the hypothesis test.
Give an interpretation of the p-value.
A state university found it lost 25 students out of 352 in 2013 and 36 students out of 334 in 2014.
O A. P-value = 0.0455; If there is no difference in the proportions, there
about a 4.55% chance of seeing the observed difference or larger by natural sampling variation.
O B. P-value = 0.091; If there is no difference in the proportions, there is about a 9.1% chance of seeing the observed difference or larger by natural sampling variation.
OC. P-value = 0. 091; There is about a 9.1% chance that the two proportions are equal.
O D. P-value = 0. 0455; There is about a 4.55% chance that the two proportions are equal.
O E. P-value = 0.9545; If there is no difference in the proportions, there
about a 95.45% chance of seeing the observed difference or larger by natural sampling variation.
Transcribed Image Text:A two-sample z-test for two population proportions is to be performed using the P-value approach. The null hypothesis is Ho: P, =p, and the altermative is H: P, #P2. Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the p-value. A state university found it lost 25 students out of 352 in 2013 and 36 students out of 334 in 2014. O A. P-value = 0.0455; If there is no difference in the proportions, there about a 4.55% chance of seeing the observed difference or larger by natural sampling variation. O B. P-value = 0.091; If there is no difference in the proportions, there is about a 9.1% chance of seeing the observed difference or larger by natural sampling variation. OC. P-value = 0. 091; There is about a 9.1% chance that the two proportions are equal. O D. P-value = 0. 0455; There is about a 4.55% chance that the two proportions are equal. O E. P-value = 0.9545; If there is no difference in the proportions, there about a 95.45% chance of seeing the observed difference or larger by natural sampling variation.
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