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Chapter 8: Q. 16 (page 483)

Many teens have posted profiles on sites such as Facebook and My Space. A sample survey asked random samples of teens with online profiles if they included false information in their profiles. Of 170younger teens (ages 12to 14) polled, 117said 鈥淵es.鈥� Of 317older teens (ages 15to 17) polled, 152 said 鈥淵es.鈥�6 A 95% confidence interval for the difference in the population proportions (younger teens 鈥� older teens) is 0.120 to 0.297. Interpret the confidence interval and the confidence level

Short Answer

Expert verified

Interpretation confidence level: The confidence interval contains the true difference in population proportions, on average, in 95%of all samples.

Step by step solution

01

Given Information

A sample survey asked random samples of teens with online profiles if they included false information in their profiles.

02

Explanation

The given 95%confidence interval for the difference in population proportions is 0.120to 0.297.

Interpretation: We are 95%confidence that the difference in the population proportions between younger teens and older teens is between 0.120and 0.297.

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Most popular questions from this chapter

1. In the company鈥檚 prior-year survey, 80% of customers surveyed said they were 鈥渟atisfied鈥� or 鈥渧ery satisfied.鈥� Using this value as a guess for p藛, find the sample size needed for a margin of error of 3% at a 95% confidence level.

What if the company president demands 99% confidence instead? Determine how this would affect your answer to Question 1.

98% Confidence find z*for a98%confidence interval using table A or tour calculator. show your method.

A polling organization announces that the proportion of American voters who favor congressional term limits is 64%, with a 95%confidence margin of error of 3%. If the opinion poll had announced the margin of error for 80% confidence rather than 95%confidence, this margin of error would be

(a) 3%, because the same sample is used.

(b) less than 3%, because we require less confidence.

(c) less than 3%, because the sample size is smaller.

(d) greater than 3%, because we require less confidence.

(e) greater than 3%, because the sample size is smaller.

High tuition costs Glenn wonders what proportion of the students at his school think that tuition is too high. He interviews an SRS of 50 of the 2400 students at his college. Thirty-eight of those interviewed think tuition is too high.

The AP Statistics class in Exercise 1 also asked an SRS of 20 boys at their school how many shoes they have. A 95% confidence interval for the difference in the population means (girls 鈥� boys) is 10.9 to 26.5. Interpret the confidence interval and the confidence level.
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