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Chapter 9: Q.53 (page 564)

In late 2009, the Pew Internet and American Life Project asked a random sample of U.S. adults, “Do you ever . . . use Twitter or another service to share updates about yourself or to see updates about others?” According to Pew, the resulting 95% confidence interval is (0.167, 0.213).15 Can we use this interval to conclude that the actual proportion of U.S. adults who would say they Twitter differs from 0.20? Justify your answer.

Short Answer

Expert verified

No, we cant use this interval to conclude that the actual proportion of U.S. adults who would say they Twitter differs from0.20

Step by step solution

01

Introduction

A test statistic is a statistic utilized in statistical hypothesis testing. A hypothesis test is typically specified as far as a test statistic, considered as a numerical synopsis of an informational index that decreases the information to one worth that can be utilized to play out the hypothesis test.

02

Explanation

No, we cant use this interval to conclude that the actual proportion of U.S. adults who would say they Twitter differs from 0.20as it does not lie within the boundaries of the confidence interval(0.167,0.213).

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Most popular questions from this chapter

Is it significant? For students without special preparation, SAT Math scores in recent years have varied Normally with mean μ=518. One hundred students go through a rigorous training program designed to raise their SAT Math scores by improving their mathematics skills. Use your calculator to carry out a test of

H0:μ=518

Hα:μ>518

in each of the following situations.

(a) The students' scores have mean x¯=536.7and standard deviation sx=114. Is this result significant at the5%level?

(b) 'The students' scores have mean x=537.0and standard deviation sx=114. Is this result significant at the 5%level?

(c) When looked at together, what is the intended lesson of (a) and (b)?

Stating hypotheses State the appropriate null and alternative hypotheses in each of the following cases.

(a) The average height of 18-year-old American women is 64.2inches. You wonder whether the mean height of this year's female graduates from a large local high school (over 3000students) differs from the national average. You measure an SRS of 48female graduates and find that X=63.1inches.

(b) Mr. Starnes believes that less than 75%of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of students at the school to help Mr. Starnes test his claim.

- Check conditions for carrying out a test about a population proportion or mean.

- Interpret P-values in context.

Explain in plain language why a significance test that is significant at the 1% level must always be significant at the 5% level. If a test is significant at the 5% level, what can you say about its significance at the 1% level?

Are TV commercials louder than their surrounding programs? To find out, researchers collected data on 50randomly selected commercials in a given week. With the television’s volume at a fixed setting, they measured the maximum loudness of each commercial and the maximum loudness in the first 30seconds of regular programming that followed. Assuming conditions for inference are met, the most appropriate method for answering the question of interest is

(a) a one-proportion z test.

(b) a one-proportion z interval.

(c) a paired t test.

Charles Darwin, author of On the Origin of Species (1859), designed an experiment to compare the effects of cross-fertilization and self fertilization on the size of plants. He planted pairs of very similar seedling plants, one self-fertilized and one cross-fertilized, in each of pot15at the same time. After a period of time, Darwin measured the heights (in inches) of all the plants. Here are the data:

(a) Explain why it is not appropriate to perform a paired t test in this setting.

(b) A hasty student generates the Minitab output shown below. What conclusion should he draw at the α=0.05significance level? Explain
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