Question

A poll was taken of 100 children aged 10-14 on whether their favorite color was green. 17 children agreed that it was their favorite color. What would be the 98% confidence interval for this population proportion?

Answer 1

Given:

n = 100, X = (Number of People agreed that their favorite colour was green) = 17,

Confidence level (C) = 0.98 = 1 - C = 1 - 0.98 = 0.02

= X/n = 17/100 = 0.17

Critical value:

Z_/2 = Z_0.02/2 = 2.33

98% Confidence Interval:

0.083 < P < 0.257

We are 98% confidence that the population proportion lies in that interval.