or this problem, carry at least four digits after the decimal in your cakculatio

Question

or this problem, carry at least four digits after the decimal in your cakculations. Answers may vary sightly due to rounding What percentage of your campus student body is female? Let p be the proportion of women students on your campus a n° preliminary study is made to "stimate p how larg.. samp .. needed to be "% sure that point esen ate on. m. ata o, " top, Reend menseese ebe a at sira an students (b) report indicates that aggre.imately 54% et eelege stud-es are 'emales. Mhrer part (a) ng this estimate for p. CReund your answer up to th. nearest whole number) tudents

Explanation / Answer

a) since no preliminary estimate is there,so p=0.5, q=1-0.5 =0.5

E=0.06

For 99% confidence, Z/2 =2.576

E=Z/2 × [(p×q)/n]

0.06 = 2.576 x(0.5*0.5)/n

0.06 =1.288/n

n =1.288/0.06

n =21.4666

n= (21.4666)^2

n=461

b)

p=0.54, q=1-0.54 =0.46

E=0.06

For 99% confidence, Z/2 =2.576

E=Z/2 × [(p×q)/n]

0.06 = 2.576 x(0.54*0.46)/n

0.06 =1.28387/n

n =1.28387/0.06

n =21.39786

n= (21.39786)^2

n=458

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