EXAMPLE 8.6 Margins of Error

CASE 8.2 In the Christmas tree market survey, the margin of error of a 95% confidence interval for any value of and is

The results for various values of are

0.05 0.019 0.60 0.043
0.10 0.026 0.70 0.040
0.20 0.035 0.80 0.035
0.30 0.040 0.90 0.026
0.40 0.043 0.95 0.019
0.50 0.044

The survey team judged these margins of error to be acceptable and used a sample size of 500 in their survey.