In a survey of 802 U. S. adult drivers, 265 state that traffic is getting worse in their community. Construct a 95% confidence interval for the proportion of residents who think traffic is getting worse in their community.

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the z-score that has a p-value of .

In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.

This means that

95% confidence level

So , z is the value of Z that has a p-value of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

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