A political campaign manager, Scott, wants his mayoral candidate, Greg, to win an upcoming mayoral election....

A political campaign manager, Scott, wants his mayoral candidate, Greg, to win an

upcoming mayoral election. He assumes that the population proportion is 60% in favor of his

candidate, Greg and is normally distributed. Scott needs to know what the smallest sample size is

that he should poll to be 95% sure that the sample proportion is within 6% of the population

proportion.

Solutions

Expert Solution

Solution :

Given that,

= 0.60

1 - = 1 - 0.60 = 0.40

margin of error = E = 6% = 0.06

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

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

= (1.96 / 0.06)2 * 0.60 * 0.40

= 256.106

Sample size =257

orchestra answered 1 year ago

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