Exam 15: Chi-Squared Tests

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If two events A and B are independent,the P(A and B)= P(A)+ P(B).

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A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

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A chi-squared test of a contingency table is applied to a contingency table with 4 rows and 4 columns for two qualitative variables.The degrees of freedom for this test must be 9.

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The Chairman of a committee has recently circulated pamphlets among the members,attempting to convince them that pension benefits should be the primary issue.A subsequent survey revealed the following breakdown of the members according to the plant at which they worked and the issue that they felt should be supported as the primary one. \ Issues Plant Location Very Interesting Fairly Interesting Nat Interesting New Mexica 60 62 78 Utah 70 56 74 Do the data indicate at the 5% significant level that there are differences between the two plants regarding which issue should be the primary one?

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If the expected frequency of a cell is less than 5,you should combine cells of the table.

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If the expected frequency of a cell is less than 5,you should increase the significance level.

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A(n)____________________ experiment is like a binomial experiment except it contains two or more categories.

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When we test for differences between two populations of nominal data with two categories,we can use only one technique,namely,the chi-squared test of a contingency table.

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Suppose the value of your chi-squared test statistic in a goodness-of-fit test is equal to 0.What do you conclude?

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A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.Using a chi-squared table,the most accurate statement that can be made is:

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If we want to perform a two-tail test for differences between two populations of nominal data with exactly two categories,we can employ either the z-test of p1 -p2,or the chi-squared test of a contingency table.

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A chi-squared test of a contingency table can be used to infer that differences exist between ____________________ populations of nominal variables.

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To test for normality,the ____________________ hypothesis specifies probabilities of certain intervals within the normal distribution.

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If you want to compare two populations that each have two categories,which test(s)can you use?

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