Exam 16: Analysis of Categorical Data

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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:  A researcher believes that a variable is Poisson distributed across six categories.To test this,the following random sample of observations is collected:    Using  \alpha  = 0.10,the critical chi-square value for this goodness-of-fit test is ___. Using α\alpha = 0.10,the critical chi-square value for this goodness-of-fit test is ___.

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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:  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  \alpha  = .05,the observed value of chi-square is ___. Using α\alpha = .05,the observed value of chi-square is ___.

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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 ___.

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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.

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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 α\alpha = 0.05,the appropriate decision is ___.

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A two-way table used for a test of independence is sometimes called a contingency table.

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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 α\alpha = 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.

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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 α\alpha = 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. A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.   The null hypothesis is ___. 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?

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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 α\alpha = .01,the appropriate decision is ___.

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Use the chi-square goodness-of-fit test to analyze probabilities of multinomial distribution trials along a single dimension.

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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'.  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  \alpha  = 0.05,the expected frequency in row 1 (A)column 1 (C)is ___. Using α\alpha = 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 α\alpha = .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 α\alpha = 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 α\alpha = .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.  A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.    Using  \alpha  = .01,the observed chi-square value is ___. Using α\alpha = .01,the observed chi-square value is ___.

(Multiple Choice)
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