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In: Statistics and Probability

QUESTION 17 A study finds that the proportion of high school students that use marijuana regularly...

QUESTION 17

A study finds that the proportion of high school students that use marijuana regularly is from 0.05 - 0.11. Confidence level - 95%. Which of the following statements is FALSE?

It is reasonable to say that more than 7% of high school students use marijuana regularly.

It is reasonable to say that no more than 10% of high school students use marijuana regularly.

The hypothesis that 7% of high school students use marijuana regularly cannot be rejected.

The hypothesis that 15% of high school students use marijuana regularly can be rejected.

Solutions

Expert Solution

The proportion of high school students that use marijuana regularly is from 0.05 - 0.11.

Confidence level - 95%, alpha = 0.05

1) It is reasonable to say that more than 7% of high school students use marijuana regularly. True

True.Because the confidence interval also contains 7 % and more than 7% values.

2) It is reasonable to say that no more than 10% of high school students use marijuana regularly.: FALSE

No more than 10% means that less than 10 % uses marijuana regularly but here our confidence interval contains 11% also.

So it is false.

3) The hypothesis that 7% of high school students use marijuana regularly cannot be rejected. : TRUE

True because the confidence interval contains 7%.

4) The hypothesis that 15% of high school students use marijuana regularly can be rejected: TRUE

True because 15 % is out of confidence interval.

Answer:- It is reasonable to say that no more than 10% of high school students use marijuana regularly.

orchestra answered 2 years ago
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