Television viewers often express doubts about the validity of certain commercial

Question

Television viewers often express doubts about the validity of certain commercials. In an attempt to answer their critics, a large advertiser wants to estimate the true proportion of consumers who believe what is shown in commercials. Preliminary studies indicate that about 40% of those surveyed believe what is shown in commercials. What is the minimum number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 1% of the true population proportion?

a) 9207

b) 9220

c) 9227

d) 9236

e) 9206

f) None of the above

Explanation / Answer

Sol:

n=req sample size

z =1.96 for 95%

n=p^(1-p^)(z/E)^2

=0.4(1-0.4)*(1.96/0.01)^2

=9219.84

=9220(rounding to nearest integer)

ANSWER:9220

OPTION B

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