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

1. 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)

400

600

Number of “yes”

300

426
  1. Compute the test statistic z.
  2. What is the p-value?
  3. Should H0 be rejected? Use the p-value and a level of significance of 0.05 to justify your answer.
  4. Use the above data to construct a 95% confidence interval for p1 - p2
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