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Exam 16: Chi-Square Tests: Goodness-of-Fit and Independence

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Variance is not computed using the chi-square tests.

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A researcher computes a 2 $\times$ 3 chi-square test for independence.In this example,the degrees of freedom are 2.

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A researcher conducts a chi-square goodness-of-fit test in which k = 3 and = 4.32.What is the decision for this test at a .05 level of significance?

A researcher selects a sample of 110 participants and computes the following phi correlation coefficient: = 0.31.What is the value of ?

A local ice cream shop wants to see if they should promote a new swizzleberry swirl or creamsicle flavored drink.In order to determine which one to promote,they took a sample of 80 patrons and asked them to choose which they preferred.The one that is significantly preferred over the other (at a .05 level of significance) will be promoted.It is expected that an equal number of patrons will choose each flavor.Based on the observed frequencies given below,what is the decision for this test?

Parametric tests are often called distribution-free tests.

One way a researcher can correct for having expected frequencies smaller than five is to increase the levels of the categorical variable such that the number of levels

Homogeneity of variance is one assumption for the chi-square goodness-of-fit test.

One way a researcher can correct for having expected frequencies smaller than five is to increase the sample size such that

A researcher selects a sample of 80 people and records the frequency of participants choosing a low,moderate,or high calorie dessert in a buffet.What are the degrees of freedom for this chi-square goodness-of-fit test?

If a researcher computes a chi-square goodness-of-fit test in which k = 4 and n = 40,then the degrees of freedom for this test is 3.

A researcher asks participants to taste each of three meals and to choose the one they like best.The same foods are in each meal,expect for the calorie total of the meal (which is low,moderate,or high calorie) .Based on the observed frequencies given below,what is an appropriate conclusion for this test at a .05 level of significance?

A 2 $\times$ 2 chi-square test for independence has 4 degrees of freedom.

A researcher conducts a chi-square goodness-of-fit test in which k = 5.What is the critical value for this test at a .05 level of significance?

When k = 3,then the critical value for a chi-square goodness-of-fit test is 7.81.

Which of the following is an appropriate measure of effect size for a 2 $\times$ 2 chi-square test for independence?

The test statistic is the same for a chi-square goodness-of-fit test and a chi-square test for independence.

To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences

A chi-square goodness-of-fit test is used to determine how well a set of observed frequencies "fits" with what was expected.

A researcher reports the following results for a chi-square test: $\chi$ ²(1) = 5.386,p < .05 (V = 0.224) .If this test were a test for independence,then how many groups were observed?