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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

Snowmobiles (11.2) Do these data provide convincing evidence of an association between environmental club membership and snowmobile use for the population of visitors to Yellowstone National Park? Carry out an appropriate test at the 5% significance level

The body’s natural electrical field helps wounds heal. If diabetes changes this field, it might explain why people with diabetes heal more slowly. A study of this idea compared randomly selected normal mice and randomly selected mice bred to spontaneously develop diabetes. The investigators attached sensors to the right hip and front feet of the mice and measured the difference in electrical potential (in millivolts) between these locations. Graphs of the data for each group reveal no outliers or strong skewness. The computer output below provides numerical summaries of the data26.

The researchers want to know if there is evidence of a significant difference in mean electrical potentials between normal mice and mice with diabetes. Carry out a test using a 5%level of significance and report your conclusion.

The previous Check Your Understanding (page 750) described some results from a study of body weights and backpack weights. Here, again, is the Minitab output from the least-squares regression analysis for these data.

2. Would a 99 % confidence interval for the slope β of the population regression line include 0? Justify your answer. (You don't need to do any calculations to answer this question.)

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

Which of the following is not one of the conditions that must be satisfied in order to perform inference about the slope of a least-squares regression line? (a) For each value of x, the population of y-values is Normally distributed.

(b) The standard deviation σof the population of y-values corresponding to a particular value of x is always the same, regardless of the specific value of x. (c) The sample size—that is, the number of paired observations (x, y)—exceeds 30.

(d) There exists a straight line y=α+βxsuch that, for each value of x, the mean μyof the corresponding population of y-values lies on that straight line.

(e) The data come from a random sample or a randomized experiment.
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