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

Question:

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 non-rejection regions on the sampling of p̂1 – p̂ 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%?
Distribution
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