Question

In: Statistics and Probability

Consider this hypothesis test: H0: p1 - p2 = 0 Ha: p1 - p2 > 0...

Consider this hypothesis test:

H0: p1 - p2 = 0

Ha: p1 - p2 > 0

Here p1 is the population proportion of “yes” of Population 1 and p2 is the population proportion of “yes” of Population 2. Use the statistics data from a simple random sample of each of the two populations to complete the following: (8 points)

Population 1 Population 2

Sample Size (n) 500 700

Number of “yes” 400 560  

Compute the test statistic z.

What is the p-value?

Should H0 be rejected?

Use the p-value and a level of significance of 0.05 to justify your answer.

Use the above data to construct a 95% confidence interval for p1 - p2

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