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Chapter 8: Q 44. (page 523)

Age and September 11 Refer to Exercise 42. The study also reported that 86% of

millennials included 9/11 in their top-10 list and 70% of baby boomers included 9/11.

a. Explain why you do not have enough information to give confidence intervals for

millennials and baby boomers separately.

b. Do you think a 95%confidence interval for baby boomers would have a larger or smaller margin of error than the estimate from Exercise 42? Explain your answer.

Short Answer

Expert verified

a. It is because sample size is not given.

b. Margin of error is large.

Step by step solution

01

Ste 1: Given Information

It is given that 85%of millennials includes 9/11in their top 10 and70%for baby boomers included9/11

02

Why we do not have enough information to give confidence intervals formillennials and baby boomers separately

To calculate confidence interval, we require sample size, sample proportion and confidence level. We are not given sample size, so it is not possible to find confidence interval.

03

To check if margin of error is less or large as per given conditions

If sample size decrease, baby boomers in sample is less than total individuals in sample. Hence we will get less information about population, less accurate estimates are obtained. We get less chances of true population proportion containing confidence interval. So, confidence interval is wider. Margin of error is half the width of confidence interval, there will be larger margin of error.

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Most popular questions from this chapter

You want to compute a 90%confidence interval for the mean of a population with an unknown population standard deviation. The sample size is 30. What critical value should you use for this interval?

a. 1.645

b. 1.699

c. 1.697

d. 1.96

e. 2.045

Willows in Yellowstone Writers in some fields summarize data by giving x 虅 and its

standard error rather than x炉andSX.Biologists studying willow plants in Yellowstone National Park reported their results in a table with columns labeled x炉andSX The table entry for the heights of willow plants (in centimeters) in one region of the park was 61.55卤19.03. The researchers measured a total of 23plants.

a. Find the sample standard deviation sxfor these measurements.

b. A hasty reader believes that the interval given in the table is a 95% confidence interval for the mean height of willow plants in this region of the park. Find the actual confidence level for the given interval.

After deciding on a 95% confidence level, the researcher is deciding between a sample of size n=500 and a sample of size n=1000. Compared with using a sample size of n=500, a confidence interval based on a sample size of n=1000 will be

a. narrower and would involve a larger risk of being incorrect.

b. wider and would involve a smaller risk of being incorrect.

c. narrower and would involve a smaller risk of being incorrect.

d. wider and would involve a larger risk of being incorrect.

e. narrower and would have the same risk of being incorrect.

It鈥檚 critical Find the appropriate critical value for constructing a confidence interval in each of the following settings.

a. Estimating a population proportion p at a 94% confidence level based on an SRS of size 125

b. Estimating a population mean 渭 at a 99% confidence level based on an SRS of size 58

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

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