/*! 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. 12.59 In each of exeercises 12.57-12.5... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 12.59 (page 502)

In each of exeercises 12.57-12.59, use the technology of your choice to solve the specified problems.

The U.S. Congress, Joint Committee on Printing. provides information on the composition of Congress in Congressional Directory. On the WeissStats CD, we present data on party and class for the senators in the 113th Congress.
a. Group the bivariate data for these two variables into a contingency table.
a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of party within each class and the marginal distribution of party.
c. Determine the conditional distribution of class within each party and the marginal distribution of class.
d. Are the variables "party" and "class" for U.S. senators in the 111th Congress associated? Explain your answer.

Short Answer

Expert verified

(a) The bivariate data for these two variables into a contingency table is:

(b) The conditional distribution of party within each class and the marginal distribution of party is:

(c) The conditional distribution of class within each party and the marginal distribution of class is:

(d) Yes, the variables "party" and "class" for U.S. senators are associated because the conditional distribution of each party within each class are not similar.

Step by step solution

01

Part (a) Step 1. Given Information.

On the WeissStats CD, we present data on party and class for the senators in the 113th Congress.

02

Part (a) Step 2. Use MINITAB procedure.  

By using MINITAB procedure,

1. Choose stat > tables > Cross tabulation and Chi-square.

2. Select Raw data.

3. In rows, select Party, and in columns select Class.

4. Under display, select counts.

5. Click OK.

03

Part (a) Step 3. MINITAB output.  

Row: Party Column: Class


IIIIIIAll
Democrate23201053
Independent2002
Republic8132445
All333334100

Cell contents: Count

04

Part (b) Step 1. Use MINITAB.  

By using MINITAB procedure,

1. Choose stat > tables > Cross tabulation and Chi-square.

2. Select Raw data.

3. In rows, select Party, and in columns select Class.

4. Under display, select column percent.

5. Click OK.

05

Part (b) Step 2. MINITAB output.  

Row: Party Column: Class


IIIIIIAll
Democrate69.7060.6129.4153
Independent6.06002
Republic24.2439.3970.5945
All100100100100

Cell contents: % of columns.

06

Part (c) Step 1. Use MINITAB.   

By using MINITAB procedure,

1. Choose stat > tables > Cross tabulation and Chi-square.

2. Select Raw data.

3. In rows, select Party, and in columns select Class.

4. Under display, select row percent.

5. Click OK.

07

Part (c) Step 2. MINITAB output.  

Row: Party Column: Class


IIIIIIAll
Democrate43.4037.7418.87100
Indepedent10000100
Republic17.7828.8953.33100
All333334100

Cell contents: % of rows.

08

Part (d) Step 1. Relation between "party" and "Class".  

Yes, the variables "party" and "class" for U.S. senators are associated because the conditional distribution of each party within each class are not similar.

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

Deceptive News. In the article "When News Reporters Deceive: The Production of Stereotypes" (Journalism & Mass Communication Quarterly, Vol. 84, No. 2, pp. 281-298), researchers D. Lasorsa and J. Dai investigated the relationship between authenticity and tone for news stories. Tone was measured by using a method of coding sentences and was categorized as positive, neutral, or negative. A sample of stories yielded the following data. At the 5% significance level, do the data provide sufficient evidence to conclude that an association exists between authenticity and tone?

In each of the given Exercises, we have presented a contingency table that gives a cross-classification of a random sample of values for two variables, x, and y, of a population. For each exercise, perform the following tasks.

a. Find the expected frequencies. Note: You will first need to compute the row totals, column totals, and grand total.

b. Determine the value of the chi-square statistic.

c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.

Ancestry and Region. The U.S. Census Bureau collects information on the U.S. population by ancestry and region of residenc and publishes the results in American Community Survey. Accordin; to that document, 18 % of the population resides in the Northeast.

a. If ancestry and region of residence are not associated, wha percentage of Americans of Irish ancestry would reside in the Northeast?

b. There are roughly 37 million Americans of Irish ancestry. If ancestry and region of residence are not associated, how many Americans of Irish ancestry would reside in the Northeast?

c. There are, in fact, 9.25 million Americans of Irish ancestry who reside in the Northeast. Given this information and your answer to part (b), what can you conclude?

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.

In each case, decide whether Assumptions 1and 2for using chi-square goodness-of-fit test are satisfied.

Sample size n=50.

Relative frequencies0.65,0.30,0.05.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

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.