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Exam 15: Nonparametric Methods: Goodness-Of-Fit Tests

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Question 31

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A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the expected frequency for people who are undecided about the project and have property front-footage between 45 and 120 feet?

A) 2.2
B) 3.9
C) 5.0
D) 7.7

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Question 32

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To determine if a set of ungrouped raw data is normally distributed, the null hypothesis is ________________.

A) The data are normally distributed
B) The data are not normally distributed
C) The Anderson-Darling test is greater than 0.0
D) The Anderson-Darling test equal to 0.0

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Question 33

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What are the degrees of freedom for a contingency table analysis?

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: What kind of frequencies are the numbers 12, 9, 11, 10, 9, and 9 called?

The shape of the chi-square distribution depends on the size of the sample.

For hypothesis tests using a chi-square statistic, the rejection region is in the _____________ tail of the chi-square distribution.

Contingency table analysis can be used to test for a relationship between two _________ scale variables.

The computed value of a chi-square statistic is always positive because the numerator is the difference between the observed frequencies and the expected frequencies ______________.

To determine if a set of ungrouped raw data is normally distributed, what test statistic would we use?

There is not one, but a family of chi-square distributions. There is a chi-square distribution for 1 degree of freedom, another for 2 degrees of freedom, another for 3 degrees of freedom, and so on.

The Anderson-Darling test for normality tests a null hypothesis that the sample data are ______ distributed.

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. This classification is summarized with what kind of table?

The contingency table for a sample of corporate executives classified by educational level and the social activity follows. What does the expected frequency for the "above average" social activity and "high school" education equal?

Which of the following can be used to test the hypothesis that two nominal variables are related?

The degrees of freedom for a chi-square goodness-of-fit test is equal to ______________.

To verify that a frequency distribution for sample data is normally distributed, the expected frequencies are computed using probabilities from a _____________ distribution.

For people released from prison, the following table shows their adjustment to civilian life and place of residence. What is the critical value for this contingency table at the 0.01 level of significance?

In a contingency table, the decision to reject the null hypothesis is based on a __________ test statistic.

Which of the following statements is correct regarding the goodness-of-fit test?

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The appropriate test to analyze the relationship between social activity and education is __________.