QBA 2305 Practice Problems (Chapter 8) 2008

QBA 2305 Practice Problems (Chapter 8) 2008 - QBA 2305...

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QBA 2305 : Practice Problems (Chapter 8) NAME: For questions 1 thru 12, determine whether each statement is TRUE or FALSE. If the statement is false, explain why. 1 . The chi-square test of independence is always two-tailed. 2 . The test values for the chi-square goodness-of-fit test and the independence test are computed by using the same formula. 3 . When the null hypothesis is rejected in the goodness-of-fit test, it means there is close agreement between the observed and expected frequencies. 4 . When the chi-square distribution is used as a test of independence, the number of degrees is related to both the number of rows and the numbers of columns in the contingency table. 5 . Chi-square may be used as a test to decide whether a particular distribution closely approximates a sample from some population. We refer to such tests as goodness-of-fit tests. 6 . When using a chi-square test, we must ensure an adequate sample size so that we can avoid any tendency for the value of the chi-square statistic to be overestimated. 7 . Chi-square tests enable us to test whether more than two population proportions can be considered equal. 8 . A 3 x 5 contingency table has three columns and five rows. 9 . The total area under the curve of a chi-square distribution, like of other distributions, is 1. 10 . The accuracy and usefulness of a chi-square test are highly dependent on the quality of data put into the test. 11 . In determining the number of degrees of freedom for a chi-square goodness-of-fit test, estimating population parameters from sample data has no impact. 12 . For both chi-square and F tests, we reject H 0 if the p-value is less than α , the significance level of the test. Dr. LOHAKA: QBA 2305 Practice Problems (Chi Square Tests) Page 1
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For questions 13 thru 21, select the best answer . 13 . The values of the chi-square variable cannot be (A) positive. (B) 0. (C) negative. (D) None of the above. 14 . The null hypothesis for the chi-square test of independence is that the variables are A) dependent. B) independent. C) related. D) always 0 . 15 . The degrees of freedom for the goodness-of-fit test are . A) 0 B) 1 C) sample size - 1 D) number of categories - 1 16 . Suppose you have observed proportions for three different geographic regions. You wish to test whether the regions have significantly different proportions. Assuming π 1 , π 2 , π 3 are the true proportions, which of the following would be your null hypothesis? (A) π 1 π 2 π 3 (B) π 1 = π 2 = π 3 (C) π 1 , π 2 , π 3 are not all equal. (D) None of these. 17 . A chi-square value can never be negative because: . (A) Differences between expected and observed frequencies are squared. (B) A negative value would mean that the observed frequencies were negative.
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This note was uploaded on 08/04/2008 for the course QBA 2305 taught by Professor Hulme during the Spring '08 term at Baylor.

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QBA 2305 Practice Problems (Chapter 8) 2008 - QBA 2305...

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