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Under what conditions is Cramér's V used to measure effect size for a chi-square test for independence?


A) When both variables consist of exactly two categories
B) When both variables consist of more than two categories
C) When either of the two variables consists of exactly two categories
D) When either of the two variables consists of more than two categories

E) B) and C)
F) None of the above

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A chi-square test should not be used if any observed frequency is less than five.

A) True
B) False

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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.

A) True
B) False

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A chi-square test for independence produces a chi-square statistic with df = 2.The data for this research study form a 22 matrix with four separate categories.

A) True
B) False

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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?


A) 32
B) 20
C) 48
D) 80

E) A) and B)
F) None of the above

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The phi-coefficient is used to evaluate effect size for a chi-square test for goodness of fit provided there are only two categories.

A) True
B) False

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Under what circumstances should the chi-square statistic not be used?


A) If fe > 5 for any cell
B) If fe < 5 for any cell
C) If fe = fo for any cell
D) None of the other options is correct.

E) A) and D)
F) B) and C)

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Cramér's V is used to evaluate effect size for the chi-square test for independence whenever the test has df = 1.

A) True
B) False

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Which of the following accurately describes the observed frequencies for a chi-square test?


A) They are always whole numbers.
B) They can contain fractions or decimal values.
C) They can contain both positive and negative values.
D) They can contain fractions and negative numbers.

E) C) and D)
F) A) and D)

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One characteristic of nonparametric tests is that they make few,if any,assumptions about the populations being investigated.

A) True
B) False

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What values are specified by the null hypothesis for a chi-square test?


A) Frequencies for a sample
B) Frequencies for a population
C) Proportions for a sample
D) Proportions for a population

E) None of the above
F) B) and D)

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When the data form a 2x2 matrix,the phi-coefficient is used to measure effect size for the chi-square test for independence.If other factors are held constant,how does sample size influence the values for phi and chi-square?


A) A larger sample increases both phi and chi-square.
B) A larger sample increases phi but has no effect on chi-square.
C) A larger sample increases chi-square but has no effect on phi.
D) Sample size does not influence either phi or chi-square.

E) A) and C)
F) A) and B)

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The data for a chi-square test are called observed frequencies.

A) True
B) False

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A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into 2 categories,then what is the df value for the chi-square statistic?


A) df = 1
B) df = 2
C) df = 3
D) Cannot determine the value of df from the information provided

E) A) and C)
F) All of the above

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The chi-square test for goodness of fit evaluates the distribution for one variable,and the test for independence evaluates the relationship between two variables.

A) True
B) False

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What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?


A) There is a good fit between the sample data and the null hypothesis.
B) There is a large discrepancy between the sample data and the null hypothesis.
C) All of the expected frequencies must also be close to zero.
D) The researcher made a mistake because chi-square can never be close to zero.

E) B) and C)
F) A) and D)

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A chi-square test for independence is being used to evaluate the relationship between two variables.If the test has df = 2,what can you conclude about the two variables?


A) One variable consists of 2 categories and the other consists of 3 categories
B) One variable consists of 2 categories and the other consists of 4 categories
C) Both variables consist of 2 categories
D) Both variables consist of 3 categories

E) B) and D)
F) A) and C)

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A researcher would like to test the claim that 9 out of 10 doctors prefer Brand X.A sample of 60 doctors is obtained and each is asked to compare Brand X with another leading brand.The data show that 48 of the doctors picked Brand X.If these data are evaluated using a chi-square test for goodness of fit,what is the expected frequency for Brand X?


A) 6
B) 12
C) 48
D) 54

E) A) and B)
F) All of the above

Correct Answer

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For a chi-square test,the expected frequencies are calculated values that are intended to produce a sample that is representative of the null hypothesis.

A) True
B) False

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What happens to the critical value for a chi-square test if the number of categories is increased?


A) The critical value increases.
B) The critical value decreases.
C) The critical value depends on the sample size,not the number of categories.
D) The critical value is determined entirely by the alpha level.

E) A) and B)
F) All of the above

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