Question

A study was done to determine the proportion of voters that feel that their local government is doing an adequate job. Of the 220 voters surveyed, 175 feel that their local government is doing an adequate job. Calculate the 95% confidence interval for the true proportion of voters that feel that their government is doing an adequate job.

Answer 1

( 0.742, 0.849 )

Explanation:

sample size = 220

number of voters with positive response ( i.e. number of voters who believe the government is doing right ) = 175

Calculate the 95% confidence interval

P = 175 / 220 = 0.796

the 95% confidence interval = ( 0.796 ± 0.054 )

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