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Chapter 12: Q. 50 (page 792)

What percent of U.S. adults have one or more tattoos? The Harris Poll conducted an online survey of 2302adults in January 2008. According to the published report, “Respondents for this survey were selected from among those who have agreed to participate in Harris Interactive surveys. The pie chart at the top right summarizes the responses from those who were surveyed. Explain why it would not be appropriate to use these data to construct a 95%confidence interval for the proportion of all U.S. adults who have tattoos

Short Answer

Expert verified

The random requirement has not been met.

Step by step solution

01

Given information

The given data is

02

Explanation

The three conditions for constructing a confidence interval for the proportion are random, normal, and independent.

The random criteria were not met since the sample was obtained using a voluntary response sample that was not representative of the entire community.

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Most popular questions from this chapter

Suppose that the relationship between a response variable y and an explanatory variable x is modelled by y=2.7(0.316)x. Which of the following scatterplots would approximately follow a straight line?

(a) A plot of y against x

(b) A plot of y against log x

(c) A plot of log y against x

(d) A plot of log y against log x

(e) None of (a) through (d)

Based on the residual plot, do you expect your prediction to be too high or too low? Justify your answer.

The table below provides data on the political affiliation and opinion about the death penalty of 850randomly selected voters from a congressional district.

Which of the following does not support the conclusion that being a Republican and favoring the death penalty are not independent?

(a) 299494≠98356 (d) 299397≠77248

(b) 299494≠397850 (e) 397494850≠299

(c)494850≠299397

A distribution that represents the number of cars parked in a randomly selected residential driveway on any night is given by

xi:0 123 4
pi :0.10.20.350.250.15

Which of the following statements is correct?

(a) This is a legitimate probability distribution because each of the pi-values is between 0and 1.

(b) This is a legitimate probability distribution because ∑xiis exactly 10.

(c) This is a legitimate probability distribution because each of the pi-values is between 0and 1and the ∑xiis exactly 10.

(d) This is not a legitimate probability distribution because ∑xiis not exactly 10.

(e) This is not a legitimate probability distribution because role="math" localid="1650523963322" ∑pi is not exactly 1.

Which of the following sampling plans for estimating the proportion of all adults in a medium-sized town who favor a tax increase to support the local school system does not suffer from undercoverage bias?

(a) A random sample of 250names from the local phone book

(b) A random sample of 200parents whose children attend one of the local schools

(c) A sample consisting of 500people from the city who take an online survey about the issue

(d) A random sample of 300homeowners in the town

(e) A random sample of 100people from an alphabetical list of all adults who live in the town

See all solutions

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