Exam 17: The Chi-Square Statistic: Tests for Goodness of Fit and Independence

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An insurance investigator has observed the people with some astrological signs tend to be safer drivers than people with other signs.Using insurance records,the investigator classified 200 people according to their astrological signs and whether or not they were involved in a car accident during the previous 12 months.The data are as follows: Libra Leo Gemini Accident 7 4 19 No Accident 73 46 51 ​Do the data indicate a significant relationship between sign and accidents? Test at the .05 level of significance.

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A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories,and a chi-square test for independence is used to examine the distribution of individuals across six categories in a 2 X 3 matrix of categories.Which test has the larger value for df?​

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A sample of 100 people is classified by gender (male/female)and by whether or not they are registered voters.The sample consists of 80 females and 20 males,and has a total of 60 registered voters.If these data are used for a chi-square test for independence,what is the total number of females for the expected frequencies?​

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Which of the following is a basic assumption for a chi-square hypothesis test?​

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​Which of the following accurately describes the chi-square distribution?

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If other factors are held constant,increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.​

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A large value for the chi-square statistic indicates a large discrepancy between the sample data and the hypothesis.​

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A researcher is interested in the relationship between IQ and longevity.A sample of n = 200 obituaries is selected from the newspaper and old school records are consulted to determine the individuals' IQ scores when they were between the ages of 10 and 20.The individuals were then classified into two IQ groups and three age groups at the time of death.The data are as follows.Based on these results,is there a significant relationship between IQ and longevity? Test with α = .05.​

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The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.​

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How do you compute the df value for the chi-square test for independence?​

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Explain how the chi-square tests differ from parametric tests (such as t tests or ANOVA)with respect to the hypotheses,the data,and the assumptions underlying the test.

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The term expected frequencies refers to the frequencies ____.​

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The phi-coefficient is used to evaluate effect size for the chi-square test for independence,provided the test has df = 1.​

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The observed frequencies for a chi-square test are always whole numbers (no fractions or decimals).​

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A chi-square test for goodness of fit has df = 2.How many categories were used to classify the individuals in the sample?​

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