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A researcher would like to know which factors are most important to people whoare buying a new car. A sample of n = 200 customers

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.

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

c) Please see table below with the expected frequencies. Calculate the Chi Square statistic and describe how you would interpret it.

Performance Reliability Style Totals
Male 16 40 24 80
Female 24 60 36 120
Totals 40 100 60 n=200

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