Chi-Square Tests in Statistics MCQs
Chi-Square Tests in Statistics MCQs
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1: Chi-Square Distribution is a _____ distribution of chi-square test statistic values for all possible samples when the null hypothesis is true.
A. Positively Skewed
B. Negatively Skewed
C. Non Skewed
D. All of these
2: Chi-Square Goodness-of Fit Test is a statistical procedure used to determine whether observed frequencies at each level of one categorical variable are _____ the frequencies we expected at each level of the categorical variable.
A. Similar to
B. Different to
C. Both a and b
D. None
3: Chi-Square Test is a statistical procedure used to test hypotheses about the _____ between the observed and expected frequencies for the levels of a single categorical variable or two categorical variables observed together.
A. Similarity
B. Discrepancy
C. Relationship
D. Both a and b
4: Chi-Square Test for Independence is a statistical procedure used to determine whether frequencies observed at the combination of levels of two categorical variables are _____to frequencies expected.
A. Similar
B. Different
C. Both a and b
D. None
5: An estimate of effect size for the chi-square test for independence for two categorical variables with any number of levels is known as_____
A. Cramer’s Phi
B. Cramer’s V
C. Both
D. None
6: The count or frequency of participants recorded in each category or at each level of the categorical variable is known as Frequency Expected.
A. True
B. False
7: Nonparametric Tests are used for all of these except_____
A. To test hypotheses that do not make inferences about parameters in a population
B. To test hypotheses about data that can have any type of distribution
C. To analyze data on a nominal or ordinal scale of measurement
D. To test hypotheses about parameters in a population
8: Parametric Tests are the hypothesis tests that are used to test hypotheses about parameters in a population in which the data are normally distributed and measured on _____ scale of measurement.
A. Interval
B. Ratio
C. Ordinal
D. Both a and b
9: Nonparametric tests analyze data on ________ or ________ scale of measurement.
A. Nominal; ordinal
B. Nominal; ratio
C. Ordinal; ratio
D. Ratio; interval
10: The chi-square goodness-of-fit test measures ________ and is a ________ test.
A. Variance; parametric
B. Frequencies; nonparametric
C. Frequencies; parametric
D. Variance; nonparametric
11: Which of the following measures the size of the discrepancy between an observed and expected frequency at each level of a categorical variable?
A. One-way ANOVA
B. Regression
C. Chi-square goodness-of-fit test
D. Z test
12: A researcher conducts a chi-square test of independence on education (three levels: high school, some college, and undergraduate degree) and income (three levels: low, medium, and high). What are the degrees of freedom?
A. 6
B. 4
C. 2
13: For an event the organizer decided to take a poll on which of two drinks (regular or decaf coffee) supplied was preferre He sampled 80 attenders and asked them to choose which they preferre If it is expected that an equal number of patrons will choose each drink, what is the decision for this test (at α .05 significance level) based on the observed frequencies given below?
A. Regular coffee is preferre
B. Decaf coffee is preferre
C. Neither is preferre
D. There is not enough information to answer this question.
14: A researcher tests whether children’s flexibility in problem solving is related to which age group they are. 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. Flexibility and age are relate
B. Flexibility and age are not relate
C. Flexibility and age are independent.
D. Both B and C are appropriate.
15: A researcher conducts two chi-square tests. The 2 x 2 chi-square was χ2 = 3.5. The 2 x 3 chi-square was χ2 = 6.92. Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?
A. The 2 x 2 chi-square
B. The 2 x 3 chi-square
C. Both chi-square tests result in a decision to reject the null hypothesis
D. None; both chi-square tests result in a decision to retain the null hypothesis
16: A researcher selects a sample of 150 participants and computes a phi correlation coefficient of .29. What is the value of χ2?
A. 12.62
B. 8.57
C. 43.5
D. There is not enough information to answer this question
17: A researcher computes a 3 x 4 chi-square test for independence with a sample of 50 participants, with χ2 = 11.43. What is the effect size for this result?
A. 0.18
B. 0.27
C. 0.33
D. 0.41
18: A researcher reports the following results for a chi-square test: χ2(2) = 5.386, p < .05 (V = 0.224). If this test were a test for independence, then how many groups were observed?
A. 2
B. 3
C. 4
D. 6
19: Nonparametric tests are often called distribution-free tests.
A. True
B. False
20: The larger the value of the chi-square test statistic, the less likely the discrepancy between observed and expected frequencies was due to chance or error.
A. True
B. False
21: When k = 4, then the critical value for a chi-square goodness-of-fit test is 5.99.
A. True
B. False
22: When k = 4, then the critical value for a chi-square goodness-of-fit test is 5.99.
A. True
B. False
23: When the chi-square test for independence is significant, this indicates that two variables are not relate
A. True
B. False
24: When dfsmaller = 1, the value for the effect size using phi coefficient will be lower than the value using Cramer’s V.
A. True
B. False
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Chi-Square Tests in Statistics MCQs
