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One survey showed that among 785 randomly selected subjects who completed four years of college, 18.3% smoke and a 98% confidence interval for the true percentage of smokers among all people who completed four years of college is 15.1% to 21.6%. Based on the result, the smoking rate for those with four years of college appears to be substantially different than the 27% rate for the general population.

a. Trueb. False

User Toan Lu
by
8.0k points

1 Answer

3 votes

Answer

a. True

Explanation:

Based on this survey we estimate that about
18.3\% of the college students smokes. And a
98\% confidence interval is
[15.1\% ; 21.6\%]. So we know that
our estimative for the smoking rate is in the confidence interval with
98\% certainty. We also know the estimative for the smoking rate in the general population is
27\%. So we can write the two possible hypothesis:


H_0 = Smoking rate is equal to
27\%.


H_1 = Smoking rate is not equal to
27\%.

We will reject the null hypothesis
(H_0) if the estimate doesn't fall into the confidence interval for the college students smoking rate.

Since this condition holds we reject the null hypothesis. So with
98\% certainty we say that the smoking rate for the general population is different than the smoking rate for the college students.

User Matt Schubert
by
7.9k points
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