Understanding Chi-Square Tests: Key Concepts and Insights

Score for this quiz: 32.5 out of 40 Submitted Dec 12 at 1:33am This attempt took 43 minutes. Question 1 2.5 / 2.5 pts A researcher is using a chi-square test to determine whether people have any preferences among three brands of televisions. The null hypothesis for this test would state that ______. one-third of the population prefers each brand IncorrectQuestion 2 0 / 2.5 pts Which of the following accurately describes the observed frequencies for a chi-square test? They can contain fractions or decimal values. Question 3 2.5 / 2.5 pts What happens to the critical value for a chi-square test if the sample size is increased? The critical value depends on the number of categories, not the sample size. Question 4 2.5 / 2.5 pts What is referred to by the term observed frequencies? The frequencies found in the sample data Question 5 2.5 / 2.5 pts What happens to the critical value for a chi-square test if the number of categories is increased? The critical value increases.

Question 6 2.5 / 2.5 pts How do you compute df for the chi-square test for goodness of fit? None of the other 3 choices is correct. Question 7 2.5 / 2.5 pts A sample of n = 100 people is classified into four categories. If the results are evaluated with a chi-square test for goodness of fit, what is the df value for the chi-square statistic? 3 UnansweredQuestion 8 0 / 2.5 pts What happens to the shape of the chi-square distribution as the df value increases? The mode (highest point) of the distribution moves to the right. The mode (highest point) of the distribution moves to the left. The mode (highest point) of the distribution does not move, but the distribution becomes more spread out. The mode (highest point) of the distribution does not move, but the distribution becomes more tightly clustered around the mode. IncorrectQuestion 9 0 / 2.5 pts 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 the six categories in a 2×3 matrix of categories. Which test has the larger value for df? The test for independence

Question 10 2.5 / 2.5 pts A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 3 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic? 6 Question 11 2.5 / 2.5 pts The expected frequencies for a chi-square test are always whole numbers (no fractions or decimals). False Question 12 2.5 / 2.5 pts The degrees of freedom for a chi-square test are not related to the size of the sample. True Question 13 2.5 / 2.5 pts 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. True Question 14 2.5 / 2.5 pts The phi-coefficient is used to evaluate effect size for a chi-square test for goodness of fit provided there are only two categories. False

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Question 15 2.5 / 2.5 pts A chi-square test should not be used if any expected frequency is less than five. True Question 16 2.5 / 2.5 pts The data for a chi-square test for independence can be viewed either as representing one sample with two measurements for each participant or as two (or more) separate samples. True Quiz Score: 32.5 out of 40

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