A Two-Sample Z-Test for Two Population Proportions Is to Be

question 20

Multiple Choice

A two-sample z-test for two population proportions is to be performed using the P-value approach.The null hypothesis is
:
=
and the alternative is
:
≠
.Use the given sample data to find the P-value for the hypothesis test.Give an interpretation of the p-value.
-A university found it retained 25 students out of 352 in 2009 and 36 students out of 334 in 2010.

• 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.
• B)P-value = 0.9545;If there is no difference in the proportions,there is about a 95.45% chance of seeing the observed difference or larger by natural sampling variation.
• C)P-value = 0.0455;There is about a 4.55% chance that the two proportions are equal.
• D)P-value = 0.091;There is about a 9.1% chance that the two proportions are equal.
• E)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.

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