For each problem, select the best response. (a) Chi-square tests of independence
ID: 3290040 • Letter: F
Question
For each problem, select the best response. (a) Chi-square tests of independence are most appropriate for examining associations between... A two categorical variables. B. two quantitative variables. C. three or more quantitative variables. D. one categorical variable and one quantitative variable. E. three or more categorical variables. (b) A chi^2 statistic provides persuasive evidence against the null hypothesis if its value is A. 1.96 B. a large positive number. C. a large negative number. D. close to 1. E. close to 0. (c) For a Chi-square test of independence the null hypothesis states that the two variables are ... A. quantitative B. dependent. C. categorical D. independentExplanation / Answer
1.a. The chi square test is used to find if there is a significant relationship between two nominal (categorical) variables. The frequency of one nominal variable is compared with different values of the second nominal variable.
Hence the correct option is a
b. unlike t and z test which we cancel or reject for BIG negative and BIG positive numbers X^2 is always positive.
Hence the correct option is B. a larger positive number
c. the null hypothesis for the chi-square test for independence states that the two variables being measured are independent, that is for each individual the value obtained for one variable is not related to the value for the second variable.
The correct option ids D
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