27
QuizMultiple Choice

N/A — Exam

Question 27 • Statistics

A 95 percent confidence interval for the true proportion of teenagers who have been to a professional sporting event is open paren 0 point 2 8 9 comma 0 point 4 1 6 close paren Is it reasonable to believe that more than 25 percent of teenagers have been to a professional sporting event?

Answer
A
No, because the center of the interval is 0 point 3 5 2 5 , which is not statistically greater than 0 point 2 5 .
B
Yes, because the entire interval is greater than 0 point 2 5 .
C
No, because there are values in the interval greater than 0 point 3 5 2 5 .
D
Yes, because 0 point 3 5 2 5 is in the interval.

Explanation

The entire 95% confidence interval, from 0.289 to 0.416, is above 0.25. This supports the conclusion that more than 25% of teenagers have been to a professional sporting event. Therefore, the correct choice is “Yes, because the entire interval is greater than 0.25.”

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