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Sandhya_sharma
Sandhya_sharma, Master's Degree
Category: Calculus and Above
Satisfied Customers: 3713
Experience:  I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.
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A sociologist wishes to conduct a poll to estimate the

Customer Question

Customer: 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?
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Submitted: 11 months ago.
Category: Calculus and Above
Expert:  Sandhya_sharma replied 11 months ago.

Hi,

Thanks for using Justanswer!

I am working on this question. I will send solution ASAP.

Thanks

Expert:  Sandhya_sharma replied 11 months ago.

Question:

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?

Solution:

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.

Expert:  Sandhya_sharma replied 11 months ago.

I hope it will help you.

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Thanks