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Chapter 12: Q. 12.2 (page 484)
How do you identify different chi-square distributions?
The number of degrees of freedom is used to identify the different chi-square distributions.
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In each of Exercises 12.11-12.16, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fir text and the sample size. In each case, decide whether Assumptions 1 and 2 for using that text are satisfied.
Sample size : n= 100.
Relative frequencies: 0.44 , 0.25 , 0.30 , 0.01.
Road Rage. The report Controlling Road Rage: A Literature Review and Pilot Study was prepared for the AAA Foundation for Traffic Safety by D. Rathbone and. Huckabee. The authors discussed the results of a literature review and pilot study on how to prevent aggressive driving and road rage. Road rage is defined as an incident in which an angry or impatient motorist or passenger intentionally injures or kills another motorist, passenger, or pedestrian, or attempts or threatens to injure or kill another motorist, passenger, or pedestrian." One aspect of the study was to investigate road rage as a function of the day of the week. The following table provides a frequency distribution for the days on which 69 road-rage incidents occurred.
Day | Frequency |
Sunday | 5 |
Monday | 5 |
Tuesday | 11 |
Wednesday | 12 |
Thursday | 11 |
Friday | 18 |
Saturday | 7 |
At the significance level, do the data provide sufficient evidence to conclude that road-rage incidents are more likely to occur on some days than on others?
In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m鈰卬.
12.73 two and two
In given exercise use either the critical-value approach or the P-value approach to perform a chi square independence lest. provided the conditions for using the test are met.
Siskel In the classic TV show Sneak Previews, originally hosted by the late Gene Siskel and Roger Ebert, the two Chicago movie critics reviewed the weeks new movie releases and
then rated them thumbs up (positive), mixed, thumbs down (negative). These two critics often saw the merits of a movie differently. In general, however, were ratings given by Siskel and Ebert
associated? The answer to this question was the focus of the paper "Evaluating Agreement and Disagreement Among Movie Reviewers" by A. Agresti and L. Winner that appeared in Chance
(Vol- 10(2), pp-10-14). The following contingency table summarizes ratings by Siskel and Ebert for 160 movies.
At the 1% significance level, do the data provide sufficient evidence to conclude that an association exists between ratings of Siskel and Ebert?
The U.S. Census Bureau complies data on the U.S. population by region and race and publishes its finding in Current Population Reports. Independent simple random samples of residents in the four U.S. regions gave the following data on race.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in race distributions among the four U.S. regions?
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