Exam 17: Nonparametric Methods: Goodness-Of-Fit Tests

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A scatter plot is a useful graphical method to determine if a set of sample data is from a normal population.

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The claim that "male and female students at Coastal Carolina University prefer different parking lots on campus" is an example of a chi-square null hypothesis.

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

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We are interested in knowing if the following frequency distribution is normally distributed. The mean and standard deviation of the data is 600 and 160. We are interested in knowing if the following frequency distribution is normally distributed. The mean and standard deviation of the data is 600 and 160.   To test the hypothesis that the frequency distribution is normally distributed, the value of the chi-square test statistic is 12.19. What is the decision regarding the null hypothesis tested at the .05 level of significance? To test the hypothesis that the frequency distribution is normally distributed, the value of the chi-square test statistic is 12.19. What is the decision regarding the null hypothesis tested at the .05 level of significance?

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A personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: A personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are:   What is the expected frequency? What is the expected frequency?

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A survey of the opinions of property owners about a street widening project was taken to determine whether the property owners' opinions were related to their property's distance (front-footage) from the street. A randomly selected sample of 100 property owners was contacted and the results are shown below. A survey of the opinions of property owners about a street widening project was taken to determine whether the property owners' opinions were related to their property's distance (front-footage) from the street. A randomly selected sample of 100 property owners was contacted and the results are shown below.   What kind of table is this classification? What kind of table is this classification?

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For the goodness-of-fit test, the use of the chi-square statistic would be permissible in the following problem. For the goodness-of-fit test, the use of the chi-square statistic would be permissible in the following problem.

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To test for a normal distribution of a frequency distribution with 5 classes, we need to

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A survey of the opinions of property owners about a street widening project was taken to determine whether the property owners' opinions were related to their property's distance (front-footage) from the street. A randomly selected sample of 100 property owners was contacted and the results are shown below. A survey of the opinions of property owners about a street widening project was taken to determine whether the property owners' opinions were related to their property's distance (front-footage) from the street. A randomly selected sample of 100 property owners was contacted and the results are shown below.   What is the null hypothesis? What is the null hypothesis?

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Recently, students in a marketing research class were interested in the driving behavior of students. Specifically, the marketing students were interested if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students: Recently, students in a marketing research class were interested in the driving behavior of students. Specifically, the marketing students were interested if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students:   The degrees of freedom for the analysis is: The degrees of freedom for the analysis is:

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For any chi-square goodness-of-fit problem, the number of degrees of freedom is found by

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What is the degree of freedom for a chi-square goodness-of-fit test? ____________________________

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A recent study of the relationship between social activity and education showed the following results. A recent study of the relationship between social activity and education showed the following results.   The null hypothesis for the analysis is: The null hypothesis for the analysis is:

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When determining how well an observed set of frequencies fit an expected set of frequencies, what is the test statistic?

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A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20-29, 30-39 and 40 or over). How many degrees of freedom are there?

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A personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: A personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are:   How many degrees of freedom are there? How many degrees of freedom are there?

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What is the shape of the chi-square distribution? ___________________

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

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To verify that a frequency distribution for sample data is normally distributed, a _____________ statistic is used to test the hypothesis that the sample data is normally distributed.

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To test for a normal distribution of a frequency distribution with 5 classes, we need to find

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