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Chapter 12: Q. 1 (page 520)

How do you distinguish among the infinitely many different chi-square distributions and their corresponding x2-curves?

Short Answer

Expert verified

The infinitely many different chi-square distributions and their corresponding x2-curves can be distinguished by their degrees of freedom.

Step by step solution

01

Step 1. Given information.

Consider the given question,

The correspondingx2curves.

02

Step 2. Differentiate by degrees of freedom.

We can differentiate the infinitely many different chi-square distributions and their corresponding x2curves by their degrees of freedom,

df=5,10,19

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Most popular questions from this chapter

In each of Exercises 12.18-12.23, we have provided a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. In each case, use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution.

Distribution: 0.2, 0.4, 0.3, 0.1

Observed frequencies: 85, 215, 130, 70

Significance level = 0.05

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.

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.

12.81 Learning at Home. M. Stuart et al. studied various aspects of grade-school children

and their mothers and reported their findings in the article "Learning to Read at Home

and at School" (British Journal of Educational Psychology, 68(1), pp. 3-14).

The researchers gave a questionnaire to parents of 66 children in kindergarten

through second grade. Two social-class groups, middle and working, were identified based on the mother's occupation.

a. One of the questions dealt with the children's knowledge of nurs-

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

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