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A sample of 1000 observations taken from the first population gave x1 = 290. Another sample of 1200 observations taken from the second population gave x2 = 396. a. Find the point estimate of p1 − p2....

A sample of 1000 observations taken from the first population gave x1 = 290. Another sample of 1200 observations taken from the second population gave x2 = 396.

a. Find the point estimate of p1 − p2.

b. Make a 98% confidence interval for p1 − p2.

c. Show the rejection and nonrejection regions on the sampling distribution of pˆ1 − pˆ2 for H0: p1 = p2 versus H1: p1 < p2. Use a significance level of 1%.

d. Find the value of the test statistic z for the test of part c. e. Will you reject the null hypothesis mentioned in part c at a significance level of 1%?

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