For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.What percentage of your campus student body is female? Let p be the proportion of women students on your campus.(a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p̂ will be within a distance of 0.05 from p? (Round your answer up to the nearest whole number.) students(b) A report indicates that approximately 64% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.) students

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Asked Jul 29, 2019
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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

What percentage of your campus student body is female? Let p be the proportion of women students on your campus.

(a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p̂ will be within a distance of 0.05 from p? (Round your answer up to the nearest whole number.)
 students

(b) A report indicates that approximately 64% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.)
 students
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Expert Answer

Step 1

In this question, we need to find the sample size for the proportion of females when no preliminary study has made and when preliminary study made and got that the proportion of females is 0.64.

Step 2

Part a)

No preliminary study has done so, we will consider that there is equal proportion of male and females.

 

Th...

Margin of error zxp(1-p)
n
0.05 2.576x0.50 x 0.50
n
n 663.5776z 664
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Margin of error zxp(1-p) n 0.05 2.576x0.50 x 0.50 n n 663.5776z 664

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