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1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2 > 0 Here p1 is the population proportion of "happy" of Population 1 and p2 is the population proportion of "happy" of Population 2. Use the statistics data from a simple random sample of each of the two populations to complete the following:
Population 1
Population 2
Sample Size (n)
1000
Number of "yes"
600
280
a. Compute the test statistic z
b. What is the p-value?
c. Should H0 be rejected? Use the critical value approach and a level of significance of 0.05 to justify your answer.
d. Use the above data to construct a 95% confidence interval for p1 - p2
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