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

question 5

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.
-n₁ = 50 n₂ = 75
X₁ = 20 x₂ = 15

• A)P-value = 0.0073;There is about a 0.73% chance that the two proportions are equal.
• B)P-value = 0.0073;If there is no difference in the proportions,there is about a 0.73% chance of seeing the observed difference or larger by natural sampling variation.
• C)P-value = 0.0037;If there is no difference in the proportions,there is a 0.37% chance of seeing the exact observed difference by natural sampling variation.
• D)P-value = 0.0146;If there is no difference in the proportions,there is about a 1.46% chance of seeing the observed difference or larger by natural sampling variation.
• E)P-value = 0.0146;There is about a 1.46% chance that the two proportions are equal.

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