Question

A television sports commentator wants to estimate the proportion of citizens who "follow professional football Complete parts (a) through (c) 52% obtained from a poll? (a what sample size should be obtained if he wants to be within 3 percentage ports with 96% confidence if he uses an estimate o (Round up to the nearest integer ) The sample size b What sample size should be obtamed if he wants to be within 3 percentage ports with 96% confidence if he does not use any prior estimates? The sample size is(Round up to the nearest integer) (c) Why are the results from parts (a) and (b) so close? The results are dose because the confidence 96% is close to 100% O B. The results are close because the margin of error 3% is less than 5% A. 0 2496 is very close to 0 25. ° C. The results are close because 0.52(1-0 52)

Answer 1

a)

here margin of error E =	0.030
for96% CI crtiical Z          =	2.05
estimated proportion=p=	0.520
required sample size n =	p*(1-p)*(z/E)2=	1166.00

(try 1170 if this comes wrong)

b)

here margin of error E =	0.030
for96% CI crtiical Z          =	2.05
estimated proportion=p=	0.500
required sample size n =	p*(1-p)*(z/E)2=	1168.00

  (try 1172 if this comes wrong)
c)

option C is correct