Question

A campaign manager is interested in estimating the proportion of voters who have a favorable view...

  1. A campaign manager is interested in estimating the proportion of voters who have a favorable view of her candidate. Calculate the minimum sample size needed to be 98% confident that the population proportion is within 5% of the estimate.

Homework Answers

Answer #1

Solution:

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 5% = 0.05

At 98% confidence level the z is ,

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02 / 2 = 0.01

Z/2 = Z0.01 = 2.326

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

= (2.326 / 0.05)2 * 0.5 * 0.5

= 541.02

= 541

n = sample size = 541

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