Chapter 12: Tests of Goodness of Fit and Independence

A goodness of fit test can be used to determine whether a particular multinomial distribution provides a good description of a population.
1. True
2. False
The chi-square probability distribution should not be used for a goodness of fit test
1. True
2. False
In computing the expected frequencies for a goodness of fit test, it is not proper to assume the null hypothesis is true.
1. True
2. False
A student group at a large university makes up an informational pamphlet. The group would like to choose the color of the pamphlet by randomly sampling 300 students to check whether there is any significant difference in color preferences for the pamphlet. The results follow.

The critical value for the multinomial goodness of fit test with a .01 level of significance is
1. 6.25139
2. 7.77944
3. 11.3449
4. 13.2767
A student group at a large university makes up an informational pamphlet. The group would like to choose the color of the pamphlet by randomly sampling 300 students to check whether there is any significant difference in color preferences for the pamphlet. The results follow.

The expected frequency is
1. 4 for each color
2. 50 for each color
3. 75 for each color
4. different for each color
A student group at a large university makes up an informational pamphlet. The group would like to choose the color of the pamphlet by randomly sampling 300 students to check whether there is any significant difference in color preferences for the pamphlet. The results follow.

The calculated value of the test statistic for this chi-square goodness of fit test is
1. 4.08
2. 8.52
3. 11.3
4. 306
A student group at a large university makes up an informational pamphlet. The group would like to choose the color of the pamphlet by randomly sampling 300 students to check whether there is any significant difference in color preferences for the pamphlet. The results are as follow.

The result of the test at the .01 level of significance is which of the following?
1. There is a significant difference in color preference.
2. There is no significant difference in color preference.
The chi-square distribution is used in conducting a contingency table test.
1. True
2. False
In a contingency table test of independence, the number of rows must be equal to the number of columns.
1. True
2. False
In conducting a contingency table test for independence, the expected frequency for each cell must be at least 5.
1. True
2. False
In conducting either a goodness of fit or contingency table test, the larger the differences between the observed and expected frequencies, the more likely it is the null hypothesis will be rejected.
1. True
2. False
The appropriate number of degrees of freedom for a contingency table test is given by the product of the number of rows times the number of columns
1. True
2. False
A sport preference poll yielded the following data for men and women:

To test for similar sport preferences of men and women, the appropriate degrees of freedom would be
1. 2
2. 5
3. 107
4. 108
A sport preference poll yielded the following data for men and women:

To test for similar sport preferences of men and women, the test statistic value is
1. 0.4617
2. 1.546
3. 2
4. 108
A sport preference poll yielded the following data for men and women:

Use α = .05 and test for similar sport preferences by men and women. What is your conclusion?
1. Reject the null hypothesis
2. Do not reject the null hypothesis