Question

A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 30% with a margin of error of 4% (based on 95% confidence). This implies:

Select one:

a. We believe that the true proportion of county residents who want the law changed is between 26% and 34%
b. We can not conclude anything about the population parameter since this is only a sample.
c. If we took another sample of 600 residents the sample proportion would definitely be between 26% and 34%
d. There is a 95% chance that the true parameter is 30%
e. If we take many other samples from this population 95% of them will have a sample proportion that is between 26% and 34%.

Answer 1

a. We believe that the true proportion of county residents who want the law changed is between 26% and 34%

Explanation:

The sample point estimate, at a 95% percent confidence level, gives the political action committee an estimate of the true proportion of residents who support a change to the county leash law within a margin of error.

If the point estimate was 30% with a margin of error of 4%, there's a 95% chance that the true proportion is between 26% and 34%.

Therefore, the correct answer is: a. We believe that the true proportion of county residents who want the law changed is between 26% and 34%