Exam 16: Analysis of Categorical Data

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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 6 categories, and lambda must be estimated.How many degrees of freedom should be used?

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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.

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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 6.

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A contingency table has seven rows and five columns.When applying a chi-square test of independence to this table, the number of degrees of freedom is ___.

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Ophelia McPhee, VP of Consumer Credit, Confederation First Bank (CFB), monitors the default rate on personal loans among CFB members.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 ___.

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The number of degrees of freedom in a chi-square goodness-of-fit test is the number of categories minus the number of parameters estimated minus one.

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Sam Kenny, Director of Media Research, is analyzing subscribers to the Life in the Rockies magazine.He wonders whether subscriptions are influenced by the head of household's employment classification.His staff prepared the following contingency table from a random sample of 300 households:  Sam Kenny, Director of Media Research, is analyzing subscribers to the Life in the Rockies magazine.He wonders whether subscriptions are influenced by the head of household's employment classification.His staff prepared the following contingency table from a random sample of 300 households:   Using  \alpha = .05, the critical value of chi-square is ___. Using α\alpha = .05, the critical value of chi-square is ___.

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When using the chi-square goodness-of-fit test, we must make sure that none of the expected frequencies is less than 30.

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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 appropriate decision is ___.

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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 ___.

(Multiple Choice)
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Catherine Lee, 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 Lee, 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 variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 22, 35, 32, and 21.Using α\alpha = .05, the appropriate decision is ___.

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In a chi-square goodness-of-fit test, actual frequencies are also called calculated frequencies.

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

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