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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 “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:​(10 marks)​​​​​

Population 1

Population 2

Sample Size (n)

1000

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



please answer in word form

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