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Chapter 12: Q. 12.99 (page 518)
A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of six populations. The variable has five possible values. What are the degrees of freedom for the x2-statistic?
Degrees of freedom for the x2-statistic is given by
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Consider a variable of several populations. Define the terms homogeneous and nonhomogeneous in this context.
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 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.
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.
For a -curve with degrees of freedom determine the -value that has area.
a. to its right
b. to its right.
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