Exam 16: Analysis of Categorical Data
Exam 1: Introduction to Statistics79 Questions
Exam 2: Charts and Graphs75 Questions
Exam 3: Descriptive Statistics63 Questions
Exam 4: Probability72 Questions
Exam 5: Discrete Distributions80 Questions
Exam 6: Continuous Distributions78 Questions
Exam 7: Sampling and Sampling Distributions76 Questions
Exam 8: Statistical Inference: Estimation for Single Populations80 Questions
Exam 9: Statistical Inference: Hypothesis Testing for Single Populations79 Questions
Exam 10: Statistical Inferences About Two Populations70 Questions
Exam 11: Analysis of Variance and Design of Experiments80 Questions
Exam 12: Simple Regression Analysis and Correlation84 Questions
Exam 13: Multiple Regression Analysis80 Questions
Exam 14: Building Multiple Regression Models80 Questions
Exam 15: Time-Series Forecasting and Index Numbers77 Questions
Exam 16: Analysis of Categorical Data76 Questions
Exam 17: Nonparametric Statistics81 Questions
Exam 18: Statistical Quality Control68 Questions
Exam 19: Decision Analysis78 Questions
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A researcher believes that a variable is Poisson distributed across six categories.To test this,the following random sample of observations is collected:
Using = 0.10,the critical chi-square value for this goodness-of-fit test is ___.
(Multiple Choice)
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Catherine Chao,Director of Marketing Research,is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by children in the household.Her staff prepared the following contingency table from a random sample of 100 households:
Using = .05,the observed value of chi-square is ___.
(Multiple Choice)
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A chi-square goodness-of-fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories,and lambda must be estimated.Alpha is chosen to be 0.10.The critical (table)value of chi-square is ___.
(Multiple Choice)
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The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is same as the expected distribution.
(True/False)
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The executives of CareFree Insurance,Inc.feel that "a minority of our employees perceive an authoritarian management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis.Eighty employees rate the management as authoritarian.Using = 0.05,the appropriate decision is ___.
(Multiple Choice)
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A two-way table used for a test of independence is sometimes called a contingency table.
(True/False)
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Ophelia O'Brien,VP of Consumer Credit of Credit First Banks (CFB),monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using = 0.01,the appropriate decision is ___.
(Multiple Choice)
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In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 12.
(True/False)
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Ophelia O'Brien,VP of Consumer Credit of Credit First Banks (CFB),monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using = 0.01,observed chi-square value is ___.
(Multiple Choice)
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In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.
(True/False)
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A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.
The null hypothesis is ___.
(Multiple Choice)
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A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?
(Multiple Choice)
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A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using = .01,the appropriate decision is ___.
(Multiple Choice)
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Use the chi-square goodness-of-fit test to analyze probabilities of multinomial distribution trials along a single dimension.
(Essay)
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Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B';variable two has values of 'C','D',and 'E'.
Using = 0.05,the expected frequency in row 1 (A)column 1 (C)is ___.
(Multiple Choice)
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A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 26,10,17,21,and 26.Using = .01,the observed chi-square value is ___.
(Multiple Choice)
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The executives of CareFree Insurance,Inc.feel that "a minority of our employees perceive an authoritarian management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis.Eighty employees rate the management as authoritarian.Using = 0.05,the observed value of chi-square is ___.
(Multiple Choice)
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A chi?square goodness-of-fit test is being used to test the goodness-of-fit of a normal distribution (the mean and the standard deviation of which must be estimated)for a data with "k" categories.This test has (k-3)degrees of freedom.
(True/False)
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A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 27,30,29,21,and 24.Using = .01,the observed value of chi-square is ___.
(Multiple Choice)
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A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.
Using = .01,the observed chi-square value is ___.
(Multiple Choice)
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