Question

A national opinion poll found that 64% of all American adults agree that the Spice Girls...

A national opinion poll found that 64% of all American adults agree that the Spice Girls was one of the best girl bands in the 90s. How large of an SRS is required to obtain a margin of error of 3% for a 99% confidence interval?
(A) 391

(B) 392

(C) 1698

(D) 1699

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

= 0.64

1 - = 1 - 0.64 = 0.36

margin of error = E = 3% = 0.03

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.576 ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (2.576 / 0.03)2 * 0.64 * 0.36

=1698.75

Sample size = 1699

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