/*! 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. 28 The nonprofit group Public Agend... [FREE SOLUTION] | 91影视

91影视

The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high school children. There were 202black parents, 202Hispanic parents, and 201white parents. One question asked was 鈥淎re the high schools in your state doing an excellent, good, fair, or poor job, or don鈥檛 you know enough to say?鈥 Here are the survey results:

(a) Calculate the conditional distribution (in proportions) of responses for each group of parents.

(b) Make an appropriate graph for comparing the conditional distributions in part (a).

(c) Write a few sentences comparing the distributions of responses for the three groups of parents

Short Answer

Expert verified

(a)

(b)

(c) The majority of parents have a favourable or balanced assessment of their children's high schools.

Hispanic parents believe that high school is the best and that they know the least.

In each category, the proportion of Poor opinions is nearly the same.

Step by step solution

01

Part (a) Step 1: Given information

The given data is

02

Part (a) Step 2: Explanation

We have to use the formula of probability:

Probability(p)=Number of favourableTotal number of exhaustive

For each group of parents, the conditional distribution of response can be determined as follows:

role="math" P(EB)=n(EN)nn(B)n=12202=0.0594

We may carry out this technique in the same way for all of them.

03

Part (b) Step 1: Given information

The given data is

04

Part (b) Step 2: Explanation

Let's make a comparison histogram.

The conditional probability computed in the exercise 28must have the same width and height for all bars.

05

Part (c) Step 1: Given information

The given data is

06

Part (c) Step 2: Explanation

From Part 2 of the graph (b)

The majority of parents have a favourable or balanced assessment of their children's high schools.

Hispanic parents believe that high school is the best and that they know the least.

In each category, the proportion of Poor opinions is nearly the same.

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

Roulette Casinos are required to verify that their games operate as advertised. American roulette wheels have 38slots18red, 18black, and 2green In one casino, managers record data from a random sample of spins of one of their American roulette wheels. The one-way table below displays the results.

(a) State appropriate hypotheses for testing whether these data give convincing evidence that the distribution of outcomes on this wheel is not what it should be.

(b) Calculate the expected counts for each color. Show your work.

Aw, nuts! Calculate the chi-square statistic for the data in Exercise 1. Show your work.

The category that contributes the largest component to the2statistic is

(a) White.

(c) Hispanic.

(b) Black.

(d) Other.

(e) The answer cannot be determined since this is only a sample.

Gastric freezing was once a recommended treatment for ulcers in the upper intestine. The use of gastric freezing stopped after experiments showed it had no effect. One randomized comparative experiment found that 28of the 82gastric-freezing patients improved, while 30of the 78patients in the placebo group improved. We can test the hypothesis of 鈥渘o difference鈥 in the effectiveness of the treatments in two ways: with a two-sample z test or with a chi-square test.

(a) Minitab output for a chi-square test is shown below. State appropriate hypotheses and interpret the P-value in context. What conclusion would you draw?

Chi-Square Test: Gastric freezing, Placebo Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts

(b) Minitab output for a two-sample z test is shown below. Explain how these results are consistent with the test in part (a).

Stress and heart attack You read a newspaper article that describes a study of whether stress management can help reduce heart attacks. The 107subjects all had reduced blood flow to the heart and so were at risk of a heart attack. They were assigned at random to three groups. The article goes on to say: One group took a four-month stress management program, another underwent a four-month exercise program, and the third received usual heart care from their personal physicians. In the next three years, only three of the 33people in the stress management group suffered 鈥渃ardiac events,鈥 defined as a fatal or non-fatal heart attack or a surgical procedure such as a bypass or angioplasty. In the same period, seven of the 34people in the exercise group and 12out of the 40 patients in usual care suffered such events.36

(a) Use the information in the news article to make a two-way table that describes the study results.

(b) What are the success rates of the three treatments in preventing cardiac events?

(c) Is there a significant difference in the success rates for the three treatments? Give appropriate statistical evidence to support your answer.

See all solutions

Recommended explanations on Math Textbooks

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.