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More weight loss Refer to Exercise 6. Interpret the confidence level.

Short Answer

Expert verified

95% of all samples are having95%confidence interval that have true population parameter.

Step by step solution

01

Given Information

Confidence interval is95%and proportion islocalid="1654197145883" (0.56,0.62).

02

Simplification

  • 95% confidence interval shows the proportion of US adults willing to lose weight.
  • 95%of all samples have 95% confidence that have true population parameter.

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Most popular questions from this chapter

10Bottling cola A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects cans at random, measures their contents, and computes a 95%confidence interval for the true mean volume. For one particular hour, the 95%confidence interval is 11.97ounces to 12.05ounces.

a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12ounces? Explain your answer.

b. Does the confidence interval provide convincing evidence that the true mean volume is 12ounces? Explain your answer.

A newspaper reporter asked an SRS of 100residents in a large city for their opinion about the mayor鈥檚 job performance. Using the results from the sample, the C%confidence interval for the proportion of all residents in the city who approve of the mayor鈥檚 job performance is 0.565to0.695. What is the value of C?

a. 82

b. 86

c. 90

d. 95

e. 99

Food fight A 2016survey of 1480randomly selected U.S. adults found that 55%of respondents agreed with the following statement: 鈥淥rganic produce is better for health than conventionally grown produce.鈥

a. Construct and interpret a 99%confidence interval for the proportion of all U.S. adults who think that organic produce is better for health than conventionally grown produce.

b. Does the interval from part (a) provide convincing evidence that a majority of all U.S. adults think that organic produce is better for health? Explain your answer.

A Census Bureau report on the income of Americans says that with 90% confidence the median income of all U.S. households in a recent year was\(57,005with a margin of error of\)742. Which of the following is the most appropriate conclusion?

a. 90%of all households had incomes in the interval\(57,005\)742

b. We can be sure that the median income for all households in the country lies in the interval \(57,005\)742

c. 90% of the households in the sample interviewed by the Census Bureau had incomes in the interval \(57,005\)742

d. The Census Bureau got the result\(57,005\)742using a method that will capture the true median income90%of the time when used repeatedly.

e. 90% of all possible samples of this same size would result in a sample median that falls within \(742of \)57,005

Student body totals Use your interval from Exercise 40 to construct and interpret a 99%confidence interval for the total number of students at the school that the student body president can identify by name. Then use your interval to evaluate the president鈥檚 claim.

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