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Suppose a Study Was Conducted to See Whether There Is

Question 5

Multiple Choice

Suppose a study was conducted to see whether there is an association between marital status and vehicle color. The table below shows the results from the study. Assume all conditions for testing have been met.  Vehicle color  red  black/white/silver  blue/green/other  Married 452219 Unmarried 351118\begin{array}{c|c|c|c} & {\text { Vehicle color }} \\& \text { red } & \text { black/white/silver } & \text { blue/green/other } \\\hline \text { Married } & 45 & 22 & 19 \\\hline \text { Unmarried } & 35 & 11 & 18\end{array}
This was an observational study of randomly chosen vehicle owners. Test the hypothesis that marital status and vehicle color are associated, using a significance level of 0.050.05 . Choose the correct decision regarding the null hypothesis and conclusion. Refer to the computer output below.
χ2 Test X2=1.754774169p=.4158681217df=2\begin{array} { | l | } \hline \chi ^ { 2 } - \text { Test } \\X ^ { 2 } = 1.754774169 \\p = .4158681217 \\\mathrm { df } = 2\\\hline\end{array}


A) Reject the null hypothesis; marital status and vehicle color are not associated.
B) Fail to reject the null hypothesis; marital status and vehicle color are not associated.
C) Fail to reject the null hypothesis; marital status and vehicle color are associated.
D) Reject the null hypothesis; marital status and vehicle color are associated.

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