/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 18 聽A 96% confidence interval for ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 18 (page 669)

A 96% confidence interval for the proportion of the labor force that is unemployed in a certain city is (0.07,0.10). Which of the following statements about this interval is true?

(a) The probability is0.96that between 7% and 10%of the labor force is unemployed.

(b) About96% of the intervals constructed by this method will contain the true proportion of unemployed in the city.

(c) The probability is 0.04that less than 7%or more than 10% of the labor force is unemployed.

(d) The true rate of unemployment lies within this interval96% of the time.

(e) Between 7% and 10%of the labor force is unemployed 96% of the time.

Short Answer

Expert verified

(b) About 96%of the intervals constructed by this method will contain the true proportion of unemployed in the city.

Step by step solution

01

Given Information

Need to find which of the following is true.

02

Explanation

The upper and lower limit of the confidence intervals are composed of random variables and are subject to uncertainty. Once a sample is collected, we fix the values and calculate the upper and lower bound of the confidence interval. Since they already give you an interval, it's either yes or no whether or not that true population proportion is inside the interval. However, if we were to repeat this method numerous times, about 96% of the intervals will contain the true proportion of unemployed in the city.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The heights of young men follow a Normal distribution with mean of 69.3inches and standard deviation 2.8inches. The heights of young women follow a Normal distribution with mean 64.5inches and standard deviation 2.5inches.

(a) Let M =the height of a randomly selected young man and W =the height of a randomly selected young woman. Describe the shape, center, and spread of the distribution of M-W

(b) Find the probability that a randomly selected young man is at least 2inches taller than a randomly selected young woman. Show your work.

A surprising number of young adults (ages 19to 25) still live in their parents鈥� homes. A random sample by the National Institutes of Health included 2253men and 2629women in this age group. The survey found that 986of the men and 923of the women lived with their parents.

(a) Construct and interpret a 99%confidence interval for the difference in population proportions (men minus women).

(b) Does your interval from part (a) give convincing evidence of a difference between the population proportions? Explain.

Credit cards and incentives A bank wants to know which of two incentive plans will most increase the use of its credit cards. It offers each incentive to a group of current credit card customers, determined at random, and compares the amount charged during the following six months.

(a) Is this a problem with comparing means or comparing proportions? Explain.

(b) What type of study design is being used to produce data?

Expensive ads Consumers who think a product鈥檚 advertising is expensive often also think the product must be of high quality. Can other information undermine this effect? To find out, marketing researchers did an experiment. The subjects were 90 women from the clerical and administrative staff of a large organization. All subjects read an ad that described a fictional line of food products called 鈥淔ive Chiefs.鈥� The ad also described the major TV commercials that would soon be shown, an unusual expense for this type of product. The 45women who were randomly assigned to the control group read nothing else. The 45in the 鈥渦ndermine group鈥� also read a news story headlined 鈥淣o Link between Advertising Spending and New Product Quality.鈥� All the subjects then rated the quality of Five Chefs products on a seven-point scale. The study report said, 鈥淭he mean quality ratings were significantly lower in the undermine treatment (xA  4.56) than in the control treatment x炉C=5.05;t=2.64,P<0.01.

(a). Explain why the Random and Independent conditions are met in this case.

(b) The distribution of individual responses is not Normal, because there is only a seven-point scale. Why is it still proper to use a two-sample t-test?

(c) Interpret the P-value in context.

Which of the following will increase the power of a significance test?

(a) Increase the Type喂喂error probability.

(b) Increase the sample size.

(c) Reject the null hypothesis only if the P-value is smaller than the level of significance.

(d) Decrease the significance level 伪.

(e) Select a value for the alternative hypothesis closer to the value of the null hypothesis.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.