A researcher would like to know which factors are most important to people who are buying a new car. A sample of n = 200 customers between the ages of 20 and 29 are asked to identify the most important factor in the decision process: Performance, Reliability, or Style. The researcher would like to know whether there is a difference between the factors identified by women compared to those identified by men. The data are as follows: Observed Frequencies of Most Important factor According to Gender 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. b) Determine the degrees of freedom and Chi square statistic when alpha = 0.05
A researcher would like to know which factors are most important to people who are buying a new car. A sample of n = 200 customers between the ages of 20 and 29 are asked to identify the most important factor in the decision process:
Performance, Reliability, or Style.
The researcher would like to know whether there is a difference between the factors identified by women compared to those identified by men. The data are as follows:
Observed Frequencies of Most Important factor According to Gender
| 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.
b) Determine the degrees of freedom and Chi square statistic when alpha = 0.05
What are the expected frequencies? 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.
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