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In: Statistics and Probability

A two-sample z-test for two population proportions is to be performed using the P-value approach. The...

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.

Solutions

Expert Solution

Answer e. P-value = 0.5854; If there is no difference in the proportions, there is about a 58.54% chance of seeing the observed difference or larger by natural sampling variation.


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