Exam 15: Chi-Square Applications

What is the minimum computed value of chi-square? _______

What is the lowest level of data for which the chi-square goodness-of-fit test is appropriate? ______________

What is the number of degrees of freedom for a chi-square goodness-of-fit test? ____________________________

If we wanted to see if tossing a die (a cube with the sides numbered one through six)had an equal chance of showing each side or number,what statistical test should be applied?

In a goodness-of-fit test,the sum of the expected frequencies need not equal the sum of the observed frequencies.

A goodness-of-fit test is a nonparametric test involving a set of observed frequencies and a corresponding set of expected frequencies.

For a goodness-of-fit test,the number of degrees of freedom is k-2,where k is the number of categories.

The shape of the chi-square distribution changes for each number of degrees of freedom.

A recent study of the relationship between social activity and education showed the following results. The appropriate test to analyze the relationship between social activity and education is:

The chi-square distribution can assume

In chi-square applications,the sum of the differences between expected and observed frequencies must equal zero.

The chi-square test statistic used in a goodness-of-fit test has k-1 degrees of freedom.

A recent study of the relationship between social activity and education showed the following results. The degrees of freedom for the analysis is:

When conducting a hypothesis test with chi-square analysis,the rejection region in a chi-square distribution is always in the upper or right tail.

Recently,students in a marketing research class were interested in the driving behavior of students.Specifically,the marketing students were interested if exceeding the speed limit was related to social activity.They collected the following responses from 100 randomly selected students: Using 0.05 as the significance level,what is the critical value for the test statistic?

Nonparametric tests of hypotheses,also called distribution free tests,require the population to be normally distributed.

A distributor of personal computers has five locations in the city.The sales in units for the first quarter of the year were as follows: What is the critical value at the 0.01 level of risk?

A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage.A randomly selected sample of 100 property owners was contacted and the results are shown below. What is the critical value at the 10% level of significance?

For contingency table analysis using a chi-square test,multiplying the number of rows minus 1 by the number of columns minus 1 will give you what? ___________________________________

If the computed value of a chi-square statistic is less than the critical chi-square value,reject the null hypothesis at a predetermined Type I error rate.