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A chi-square independence test is used to test the independence of two variables

ID: 3310308 • Letter: A

Question

A chi-square independence test is used to test the independence of two variables. true or false

Before performing a chi-square independence test, you must first verify that each expected frequency is greater than or equal to 50. true or false

A small chi-square test statistic is evidence for rejecting the null hypothesis. true or false

A chi-square independence test is always a left-tailed test. true or false

Nonparametric tests are also called "distribution free" tests. true or false

Nonparametric tests are used when conditions such as normality cannot be met. true or false

Nonparametric tests are less efficient than parametric tests. Thus, stronger evidence is required to reject a null hypothesis. true or false

Explanation / Answer

a) A chi-square independence test is used to test the independence of two variables. ---true

b) Before performing a chi-square independence test, you must first verify that each expected frequency is greater than or equal to 50 ---false (.we are supposed to see if it is greater then 5)

c)A small chi-square test statistic is evidence for rejecting the null hypothesis. --false

(as higher the test statistic it is more probable to reject it.)

d) A chi-square independence test is always a left-tailed test. -----false (always a right tail test)

e) Nonparametric tests are also called "distribution free" tests. ---true

f) Nonparametric tests are used when conditions such as normality cannot be met --- true

g) Nonparametric tests are less efficient than parametric tests. Thus, stronger evidence is required to reject a null hypothesis. -------true

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