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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 “Yes.” Of 317older teens (ages 15to 17) polled, 152 said “Yes.”6 A 95% confidence interval for the difference in the population proportions (younger teens – 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

True or false: The interval from 2.84to 7.55has a 95%chance of containing the actual population standard deviation S. Justify your answer.

Price cuts (4.2) Stores advertise price reductions to attract customers. What type of price cut is most attractive? Experiments with more than one factor allow insight into interactions between the factors. A study of the attractiveness of advertised price discounts had two factors: percent of all foods on sale (25%,50%,75%,or100%)and whether the discount was stated precisely (as in, for example, “60%off”) or as a range (as in “40%to 70%off”). Subjects rated the attractiveness of the sale on a scale of 1 to 7. (a) Describe a completely randomized design using 200student subjects. (b) Explain how you would use the partial table of random digits below to assign subjects to treatment groups. Then use your method to select the first 3subjects for one of the treatment groups. Show your work clearly on your paper.

(c) The figure below shows the mean ratings for the eight treatments formed from the two factors. Based on these results, write a careful description of how percent on sale and precise discount versus range of discounts influence the attractiveness of a sale.

93% confidence Find z*fora93%confidence interval using Table A or your calculator. Show your method.

59.Blood pressure A medical study finds that x¯=114.9and Sx=21.88for the seated systolic blood pressure of the 27 members of one treatment group. What is the standard error of the mean? Interpret this value in context.

Interpret your interval in context.
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