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...


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.<br>Give an interpretation of the p-value.<br>A state university found it lost 25 students out of 352 in 2013 and 36 students out of 334 in 2014.<br>O A. P-value = 0.0455; If there is no difference in the proportions, there<br>about a 4.55% chance of seeing the observed difference or larger by natural sampling variation.<br>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.<br>OC. P-value = 0. 091; There is about a 9.1% chance that the two proportions are equal.<br>O D. P-value = 0. 0455; There is about a 4.55% chance that the two proportions are equal.<br>O E. P-value = 0.9545; If there is no difference in the proportions, there<br>about a 95.45% chance of seeing the observed difference or larger by natural sampling variation.<br>

Extracted 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.

Jun 01, 2022
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