Suppose a study was conducted to see whether there is an association between marital status and vehicle colour. The table below shows the results of the study. Assume all conditions for testing have been met. Vehicle Colour Red Black/White/Silver Blue/Green/Other Married 28 27 19 Unmarried 29 14 18 This was an observational study of randomly chosen vehicle owners. Test the hypothesis that marital status and vehicle colour are associated, using a significance of 0.05. Choose the correct decision regarding the null hypothesis and conclusions using a 5% level of significance. (a) Give the details of your computations for computing the chi-square test statistic for testing the null hypothesis of no association between the marriage status and vehicle colour. (b) Verify your results using technology (provide the output).

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Suppose a study was conducted to see whether there is an association between marital status and vehicle
colour. The table below shows the results of the study. Assume all conditions for testing have been met.
Vehicle Colour
Red
Black/White/Silver Blue/Green/Other
Married
28
27
19
Unmarried
29
14
18
This was an observational study of randomly chosen vehicle owners. Test the hypothesis that marital status
and vehicle colour are associated, using a significance of 0.05. Choose the correct decision regarding the null
hypothesis and conclusions using a 5% level of significance.
(a) Give the details of your computations for computing the chi-square test statistic for testing the null
hypothesis of no association between the marriage status and vehicle colour.
(b) Verify your results using technology (provide the output).
Transcribed Image Text:Suppose a study was conducted to see whether there is an association between marital status and vehicle colour. The table below shows the results of the study. Assume all conditions for testing have been met. Vehicle Colour Red Black/White/Silver Blue/Green/Other Married 28 27 19 Unmarried 29 14 18 This was an observational study of randomly chosen vehicle owners. Test the hypothesis that marital status and vehicle colour are associated, using a significance of 0.05. Choose the correct decision regarding the null hypothesis and conclusions using a 5% level of significance. (a) Give the details of your computations for computing the chi-square test statistic for testing the null hypothesis of no association between the marriage status and vehicle colour. (b) Verify your results using technology (provide the output).
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