A Manufacturing Plant for Recreational Vehicles Receives Shipments from Three

A manufacturing plant for recreational vehicles receives shipments from three different parts vendors.There has been a defect issue with some of the electrical wiring in the recreational vehicles manufactured at the plant.The plant manager believes that the defect issue is dependent on the parts vendor.The plant manager reviews a sample of quality assurance
Inspections from the last six months. $\begin{array}{|l|l|l|l|}\hline & \text { Perfect Parts Co. } & \text { Made-4-U Co. } & 25 \text { Hour Parts Co. } \\\hline \text { Rejected } & 53 & 48 & 70 \\\hline \text { Perfect } & 93 & 71 & 88 \\\hline \begin{array}{c}\text { Not perfect but } \\\text { acceptable }\end{array} & 22 & 31 & 22 \\\hline\end{array}$

The correct value of the test statistic for determining if the plant manager's belief is supported is

A) $\chi ^ { 2 } = 8.10$
B) $\chi ^ { 2 } = 6.52$
C) $\chi ^ { 2 } = 5.03$
D) $\chi ^ { 2 } = 7.40$
E) $\chi ^ { 2 } = 9.89$