Organizations such as J. D. Power and Associates use the proportion of owners likely to repurchase a particular automobile as an indication of customer loyalty for the automobile. An automobile with a greater proportion of owners likely to repurchase is concluded to have greater customer loyalty. A study was conducted to compare the customer loyalty for three automobiles: Chevrolet Impala, Ford Fusion, and Honda Accord. The study contained 500 respondents and the data is summarized below.

Observed
Chevrolet Ford Honda Total
Yes 69 123 128 320
No 56 77 47 180
Total 125 200 175 500

Expected
Chevrolet Ford Honda Total
Yes 80 128 112 320
No 45 72 63 180
Total 125 200 175 500

Required:
a. Formulate a hypotheses that can be used to test for equal proportions of respondents who say they are willing (or not willing) to repurchase their current vehicle.
b. What is the value of the chi-square test statistic?
c. What is the p-value (to 4 decimals)?