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A sociologist wishes to conduct a poll to estimate the percentage of Americans who favor affirmative actions programs for women and minorities for admission to colleges or universities. What sample size should be obtained if she wishes the estimate to be within 4 percent points with 90% confidence if she uses a 2003 esitmate of 55% obtained from a Gallup Youth Survey? She does not use any prior estimates?
Given E = 0.04
and z = 1.645,
Sample size when prior estimation is given:
Sample size = p(1-p)*(z/E)^2 = 0.55*(1-0.55)*(1.645/0.04)^2 = 418.58824
round up to 419
Sample size is 419 when prior estimation is given.
Sample when no prior estimation is given:
Sample size = p(1-p)*(z/E)^2 = 0.5*(1-0.5)*(1.645/0.04)^2 =(###) ###-####/p>
round up to 423
Sample size is 423 when no prior estimation is given.
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