/*! 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. 12.57 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. 12.57 (page 502)

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

The National Governors Association publishes information on U.S Governors in Governors' Political Afflitiation and Term of Office. Based on that document we obtain the data on region of reidence an political party given on WeissStats site.

a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of region within each party and the marginal distribution of region.
c. Determine the conditional distribution of party within each region and the marginal distribution of party.
d. Are the variables "region" and "party" for U.S. governors 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 region within each party and the marginal distribution of region is:

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

(d) Yes, the variables "region" and "party" for U.S. governors are associated beacuse the conditional distribution of each party are not similar.

Step by step solution

01

Part (a) Step 1. Given Information.

The data on region of reidence an political party given on WeissStats site.

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 region, and in columns select party.

4. Under display, select counts.

5. Click OK.

03

Part (a) Step 3. MINITAB output.

Tabulated statistics: Region (Rows), Party (Columns)


DemocratRepublicanAll
MIdwest3912
Norteast639
South61016
West6713
All212950
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 region, and in columns select party.

4. Under display, select column percent.

5. Click OK.

05

Part (b) Step 2. MINITAB output.

Tabulated statistics: Region (Rows), Party (Columns)


DmocrateRepublicanAll
Midwest14.2931.0324
Northeast28.5710.3418
South28.5734.4832
West28.5724.1426
All100100100

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 region, and in columns select party.

4. Under display, select row percent.

5. Click OK.

07

Part (c) Step 2. MINITAB output.

Tabulated statistics: Region (Rows), Party (Columns)


DemocratRepublicanAll
Midwest2575100
Northeast66.6733.33100
South36.5062.50100
West46.1553.85100
All4258100

Cell contents: % of rows.

08

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

Yes, the variables "region" and "party" for U.S. governors are associated beacuse the conditional distribution of each party 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

For a 蠂2-curve with df=10, determine

a. 蠂0.052

b.蠂0.025

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.

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.

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.

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.

Job Satisfaction. A CNN/USA TODAY poll conducted by Gallul asked a sample of employed Americans the following question: "Which do you enjoy more, the hours when you are on your job, or the hours when you are not on your job?" The responses to this question were cross-tabulated against several characteristics, among which were gender, age, type of community, educational attainment, income, and type of employer. The data are provided on the WeissStats site. In each of Exercises 12.87-12.92, use the technology of your choice to decide, at the 5% significance level, whether an association exists between the specified pair of variables.

type of employer and response

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

Sample size:n=50.

Relative frequencies:0.20,0.20,0.25,0.30,0.05.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

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.