Exam 15: The Chi-Square Statistic: Tests for Goodness of Fit and Independence

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?

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.

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

In the observed frequencies for a chi-square test for independence,how often is each participant counted?

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?

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.

A researcher used a sample of n = 50 individuals to determine whether they are any preferences between two new designs for a smart phone.If the data produce a chi-square statistic of χ² = 6.00 what decision should the researcher make?

When the data form a 2×2 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 chi-square test for goodness of fit is used to examine the distribution of individuals across three categories,and a chi-square test for independence is used to examine the distribution of individuals in a 2×2 matrix of categories.Which test has the larger value for df?

For either chi-square test,Σfₑ = n.

A researcher would like to know whether there is a consistent,predictable relationship between verbal skills and math skills for high school students.A sample of 200 students is obtained,and each student is given a standardized English test and a standardized math test.Based on the test results,students are classified as high or low for verbal skills and for math skills.The results are summarized in the following frequency distribution: a. Based on these results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? Test at the .05 level of significance. b.Compute the phi-coefficient to measure the strength of the relationship.

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 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 ______.

What happens to the critical value for a chi-square test if the sample size is increased?

How do you compute df for the chi-square test for goodness of fit?

How does the difference between fₑ and fₒ influence the outcome of a chi-square test?

The chi-square test for independence is similar to a correlation because it evaluates the relationship between two variables.

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

A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories,and a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories.Which test has the larger value for df?

For a chi-square test,the observed frequencies are obtained from the sample.