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

question 42

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 poll reported that 30% of 60 Canadians between the ages of 25 and 29 had started saving money for retirement.Of the 40 Canadians surveyed between the ages of 21 and 24,25% had started saving for retirement.

• A)P-value = 0.5824;There is about a 58.24% chance that the two proportions are equal.
• B)P-value = 0.1812;If there is no difference in the proportions,there is about a 18.12% chance of seeing the observed difference or larger by natural sampling variation.
• C)P-value = 0.2912;There is about a 24.96% chance that the two proportions are equal.
• D)P-value = 0.2912;If there is no difference in the proportions,there is about a 24.96% chance of seeing the exact observed difference by natural sampling variation.
• E)P-value = 0.5824;If there is no difference in the proportions,there is about a 58.24% chance of seeing the observed difference or larger by natural sampling variation.

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Definitions:

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