Answered: A study examined parental influence on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study examined parental influence on teenagers' decisions to smoke. A group of students who had never smoked were asked about their parents' attitudes to smoking. The students were questioned two years later to see if they had started smoking. The study found that, of the

287

students whose parents disapproved,

became smokers. Of the

students with lenient parents,

smoked. Complete parts a through c below.

a) Create a 95% confidence interval for the difference between the proportion of children with lenient parents who later smoked,

p1,

and the proportion of children with disapproving parents who later smoked,

p2.

The confidence interval for

p1−p2

−0.101negative 0.101,0.1550.155.

(Round to three decimal places as needed.)

b) Interpret your interval in this context. Select the correct choice below and fill in the answer boxes within your choice.

(Round to one decimal place as needed.)

There is 95% confidence that the proportion of teens with lenient parents who will later smoke is

10.110.1%

less to

15.515.5%

more than for teens whose parents disapproved.

Your answer is not correct.

There is 95% confidence that the proportion of teens whose parents disapproved who will later smoke is

nothing%

less than for teens with lenient parents.

There is 95% confidence that the proportion of teens whose parents disapproved who will later smoke is

nothing%

less to

nothing%

more than for teens with lenient parents.

There is 95% confidence that about

nothing%

of teens whose parents disapproved will later smoke and

nothing%

of teens with lenient parents will someday smoke.

c) Carefully explain what "95% confidence" means. Choose the correct answer below.

The true difference lies in the interval of more than 95% of all random samples.

The true difference is less than 5% from the confidence interval.

The true difference is probably in the confidence interval.

95% of all random samples produce intervals that contain the true difference.

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