/*! 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. 12.83 In the article "Growing Pains an... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the article "Growing Pains and Fear of Gangs", B. Brown and W. Benedict examined the relationship between worry about a gang attack and actually being a victim of a gang attack. Interviews of a sample of high school students yielded the following contingency table.

At the \(1%\) significance level, do the data provide sufficient evidence to conclude that an association exists between worry about a gang attack and actually being a victim of a gang attack?

Short Answer

Expert verified

The data provide is sufficient evidence to conclude that worry about gang attack and actually being a victim of a gang attack.

Step by step solution

01

Step 1. Given information

The level of significance \(\alpha =0.01\)

02

Step 2. Calculation

Consider the below test hypothesis.

Null hypothesis:

\(H_{0}\): There is no association between worry about gang attack and actually being a victim of a gang attack

Alternative hypothesis:

\(H_{a}\): There is association between worry about gang attack and actually being a victim of a gang attack.

By using any software perform the chi-square homogeneity test to find the test statistic.

Enter the given data,

Then we get, the chi-square static as \(=23.455, p-value=0.00\)

Then, we have the

the rejection rule:

\(p-value \leq \alpha\), then null hypothesis rejected.

The level of significance \(\alpha =0.01\)

Here , clearly \(p-\)value is less than the level of significance.

\(p-value (0.00)<\alpha (0.01)\)

So, the null hypothesis is rejected at \(1%\) significant level.

Thus the results are statistically significant at \(1%\) significant level.

Hence,

The data provide is sufficient evidence to conclude that worry about gang attack and actually being a victim of a gang attack.

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 91Ó°ÊÓ!

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

Studies have shown that a positive association exists between educational level and annual salary; in other words, people with more education tend to make more money.
a. Does this finding mean that more education causes a person to make more money? Explain your answer.
b. Do you think there is a casual relationship between educational level and annual salary? Explain your answer.

Education of Prisoners. Refer to Exercise 12.49.

a. Find the conditional distribution of educational attainment with in each type of prison facility.

b. Does an association exist between educational attainment and of prison facility for prisoners? Explain your answer.

c. Determine the marginal distribution of educational attainment for prisoners.

d. Construct a segmented bar graph for the conditional distributions of educational attainment and marginal distribution of educational attainment that you obtained in parts (a) and (c), respectively. Interpret the graph in light of your answer to part (b).

e. Without doing any further calculations, respond true or false to the following statement and explain your answer: "The conditional distributions of facility type within educational attainment categories are identical."

f. Determine the marginal distribution of facility type and the conditional distributions of facility type within educational attainment

categories.

g. Find the percentage of prisoners who are in federal facilities.

h. Find the percentage of prisoners with at most an 8th-gradetion who are in federal facilities.

i. Find the percentage of prisoners in federal facilities who have at most an 8th-grade education.

Loaded Die? A gambler thinks a die may be loaded, that is, that the six numbers are not equally likely. To test his suspicion, he rolled the die 150 times and obtained the data shown in the following table.

Number

1

2

3

4

5

6

Frequency

23

26

23

21

31

26


Do the data provide sufficient evidence to conclude that the die is loaded? Perform the hypothesis test at the 0.05 level of significance.
Physician Specialty. According to the document Physician Specialty Data Book, published by the Association of American Medical Colleges, in 2010. 12.9%of active male physicians specialized in internal medicine and 15.3%of active female physicians specialized in internal medicine. Does an association exist between the variables "gender" and "specialty" for active physicians in 2010? Explain your answer.

For what purpose is a chi-square homogeneity test used?

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.