Suppose You Want to Estimate the Difference Between Two Population $0.03$

question 91

Multiple Choice

Suppose you want to estimate the difference between two population proportions correct to within $0.03$ with probability $0.90$ . If prior information suggests that $\mathrm { p } _ { 1 } \approx 0.4$ and $\mathrm { p } _ { 2 } \approx 0.8$ , and you want to select independent random samples of equal size from the populations, how large should the sample sizes be?

• A) \(n _ { 1 } = n _ { 2 } = 1708\)
• B) \(\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 963\)
• C) \(\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 1925\)
• D) \(\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 1203\)

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