A researcher would like to know which factors are most important to people whoare buying a new car. A sample of n = 200 customers between the ages of 20 and29 are asked to identify the most important factor in the decision process:

Performance, Reliability, or Style.

The researcher would like to know whetherthere is a difference between the factors identified by women compared to thoseidentified by men. The data are as follows:

	Performance	Reliability	Style	Totals
Male	21	33	26	80
Female	19	67	34	120
Totals	40	100	60	n=200

a) State the null and alternative hypothesis. (2 points)

b) Determine the degrees of freedom and Chi square statistic when alpha = 0.05. (2 points)

c) What are the expected frequencies? (6 points) Hint, for "Performance" and Males, the null hypothesis is that there will be no difference between males and females, so we would figure out the proportion within each category (i.e. Performance, Reliability, Style). For Performance, the total is 40, so we divide the total in performance by the total in the sample - 40/200 = .2, or 20%. Then we apply that percentage to the Males to get the first cell for Performance and Males. 80 X .2 = 16. 16 is the expected frequency for Performance and Males.

	Performance	Reliability	Style	Totals
Male	16			80
Female				120
Totals	40	100	60	n=200

FOR PRACTICE -Calculate the Chi Square statistic and think about how you will interpret it. I will have one problem on the exam for calculating the Chi-Square statistic from completed Observed and Expected frequency tables. I will also have an open-ended question on how to interpret the Chi-Square statistic for the last quiz.