Exam 17: Nonparametric Tests: Chi-Square Tests

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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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Which of the following is a key assumption for a chi-square goodness-of-fit test?

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

(True/False)
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A researcher computes a 4 * 4 chi-square test for independence and estimates the following effect size: V = .36.This effect size is ______.

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A researcher asks participants to taste each of three meals and to choose the one they like best.The same foods are in each meal,expect for the calorie total of the meal (which is low,moderate,or high calorie).Based on the observed frequencies given below,what is an appropriate conclusion for this test at a .05 level of significance? A researcher asks participants to taste each of three meals and to choose the one they like best.The same foods are in each meal,expect for the calorie total of the meal (which is low,moderate,or high calorie).Based on the observed frequencies given below,what is an appropriate conclusion for this test at a .05 level of significance?

(Multiple Choice)
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A researcher tests whether job security and life satisfaction are related.In this study,he observes the following frequencies.If he computes a test for independence at a .05 level of significance,then what is the decision for this test? A researcher tests whether job security and life satisfaction are related.In this study,he observes the following frequencies.If he computes a test for independence at a .05 level of significance,then what is the decision for this test?

(Multiple Choice)
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A 2 * 3 chi-square test for independence has 2 degrees of freedom.

(True/False)
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To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences ______ of the categorical variable.

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The value of the test statistic for a chi-square test is equal to 0 when there is no difference between observed and expected frequencies,and it gets larger,or more positive,as the differences get larger.

(True/False)
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A researcher computes a 2 * 4 chi-square test for independence.What are the degrees of freedom for this test?

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

(Multiple Choice)
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The larger the value of the chi-square test statistic,the more likely the discrepancy between observed and expected frequencies was due to chance or error.

(True/False)
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To compute the expected frequencies for a chi-square test for independence,we use which of the following formulas?

(Multiple Choice)
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A researcher conducts a chi-square goodness-of-fit test in which k = 3 and χ\chi 102 = 4.32.What is the decision for this test at a .05 level of significance?

(Multiple Choice)
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A chi-square goodness-of-fit test with five levels of a categorical variable will have four degrees of freedom.

(True/False)
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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.

(Multiple Choice)
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A key assumption for a chi-square goodness-of-fit test is that observed frequencies are independently recorded in each cell.

(True/False)
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A researcher reports the following results for a chi-square test for independence: χ\chi 2 (1)= 5.39,p < .05 (V = .22).How many groups were observed?

(Multiple Choice)
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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.

(True/False)
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When k = 3,then the critical value for a chi-square goodness-of-fit test is 7.81.

(True/False)
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