A recent survey showed that among 725 randomly selected subjects who completed 4 years of college, 139 smoke and 586 do not smoke. Determine a 95% confidence interval for the true proportion of the given population that smokes.

The 95% confidence interval for the true proportion of the given population that smokes is (0.1630, 0.2204).

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 .

Sample of 725, 139 smoke:

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 true proportion of the given population that smokes is (0.1630, 0.2204).

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