Exam 14: Appendix 14: Chi-Square Tests

(Use the information below for the next two questions.) A major car manufacturer was interested in whether its midsize car was selling consistently in two markets with respect to the annual income of the car purchasers. 500 new car buyers in Chicago and Miami were surveyed. In Chicago the following pattern was observed: < $20,000 $\quad \quad \quad$ 5% $20,000-$29,999 $\quad$ 20% $30,000-$39,999 $\quad$ 40% $40,000-$49,999 $\quad$ 30% ≥ $50,000 $\quad \quad \quad$ 5% Among those surveyed in Miami, 20 earned under $20,000; 70 earned between $20,000 and $30,000; 265 earned between $30,000 and $40,000; 125 earned between $40,000 and $50,000; and 20 earned more than $50,000. -Using the data provided, the calculated value of =

Which of the following statements pertaining to the index of predictive association is FALSE?

Which of the following statements pertaining to the contingency coefficient is FALSE?

-How many degrees of freedom are associated with the above contingency table analysis?

A researcher had calculated the sample chi-square test statistic to be equal to ?² = 7.71. For an alpha level of .10 (i.e., alpha = .10) and 4 degrees of freedom, the critical value of the chi-square statistic is 7.78. The appropriate conclusion is that

-Given no information about the weight of adult males, what is the best estimate of the number of calories consumed per day by adult males?

In a two-way contingency table with four rows and four columns, the appropriate degrees of freedom for the chi-square test statistic is

The upper and lower limits of the contingency coefficient are

The chi-square test is applicable in situations where

-Given when predicting the A classification from the B classification, the index of predictive association for the above data is

A log-linear model is an extension of a:

-Suppose that you are predicting the number of calories consumed by adult males by the weight of adult males. Calculate the index of predictive association.

-Based on the above information, calculate the expected number of adult males who weigh 200 lbs. or more and consume 3000 or more calories per day.

-Assume that all expected frequencies have been computed. What is the next step in the contingency table analysis?

-What percentage of the predictions about calorie consumption would be made correctly by taking weight into account?

An analyst wishes to analyze a set of nominal data to determine if some observed pattern of frequencies is in accord with a stated null hypothesis. The preferred statistical technique is:

Which of the following statements regarding contingency tables is FALSE?

Which statement(s) pertaining to the chi-square distribution is true?

A researcher interested in measuring the association between two nominally scaled attributes should use

The chi-square contingency table is ideally suited for