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Chapter 12: Q. 12.37 (page 499)
What are the small boxes inside the heavy lines of a contingency table called ?
The small boxes inside the heavy lines of a contingency table are called cells.
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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.
The Quinnipiac University Pol conducts nationwide surveys as a public service and for research. This problem is baed on the results of one such poll that asked independent random samples of American adults in urban, suburban, and rural regions, "Do you support or oppose requiring background checks for all gun buyers?" Here are the results.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in the proportions of supporters among the three regions?
The -table has entries for areas of and. In contrast, the -table has entries for those areas and for and Explain why the -values corresponding to these additional areas can be obtained from the existing -table but must be provided explicitly in the -table.
Scoliosis is a condition involving curvature of the spine. In a study by A. Nachemson and L. Peterson, reported in the Journal of Bone and Joing Surgery, girls aged to years were followed to determine the effects of observation only (patients), an underarm plastic brace (patients), and nighttime surface electrical stimulation ( patients). A treatment was deemed to have failed if the curvature of the spine increased by 6 on two successive examinations. The following table summarizes the results obtained by the researchers.
At the significance level, do the data provide sufficient evidence to conclude that a difference in failure rate exists among the three types of treatments?
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?
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