Exam 16: Chi-Square Tests: Goodness-of-Fit and Independence

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Which of the following is a statistical procedure used to test hypotheses about the discrepancy between the observed and expected frequencies in two or more nominal categories?

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To summarize the chi-square goodness-of-fit test,which of the following is reported?

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When the chi-square test for independence is significant,this indicates that two categorical variables are independent.

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A chi-square goodness-of-fit test with 3 levels of a categorical variable will have 3 degrees of freedom.

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A researcher tests whether levels of education and income levels are related.In this study,he observes the following frequencies.If he computes a chi-square test for independence at a .05 level of significance,then what is the decision for this test? A researcher tests whether levels of education and income levels are related.In this study,he observes the following frequencies.If he computes a chi-square test for independence at a .05 level of significance,then what is the decision for this test?

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The degrees of freedom for a chi-square goodness-of-fit test are

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If the expected frequencies equal to observed frequencies for a chi-square test for independence,what do we conclude?

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Which of the following is an example of a parametric test?

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A researcher conducts two chi-square tests.The 2 ×\times 2 chi-square was χ\chi 2 = 3.92.The 2 ×\times 3 chi-square was χ\chi 2 = 5.92.Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?

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A researcher records the frequency of participants selecting one of four new slogans for an advertising campaign.If it was expected that among 200 people polled there would be no preference for any one slogan,then what was the expected frequency for each slogan.

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When at least one categorical variable has more than two levels,Cramer's V is used to estimate effect size for a chi-square test for independence.

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The interpretation of a 2 ×\times 2 chi-square test for independence is similar to what other type of statistical test?

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A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected.Hence,the decision was to

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A researcher computes a 4 ×\times 4 chi-square test for independence and estimates the following effect size: V = 0.36.This effect size is

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A researcher reports the following results for a chi-square test: χ\chi 2(1)= 5.386,p < .05 (V = 0.224).If this test were a goodness-of-fit test,then how many groups were observed?

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The chi-square test is an example of a parametric test.

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A chi-square goodness-of-fit test leads to a decision to retain the null hypothesis.Which of the following correctly explains this decision?

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A researcher computes a 3 ×\times 4 chi-square test for independence with a sample of 50 participants,with  A researcher computes a 3  \times  4 chi-square test for independence with a sample of 50 participants,with   = 8.43.What is the effect size for this result? = 8.43.What is the effect size for this result?

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It is most appropriate to report effect size for the chi-square goodness-of-fit test,but not for the chi-square test for independence.

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The formula for the chi-square test measures the size of the discrepancy between observed and expected frequencies.

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