Suppose That Two Shipping Companies, a and B, Each Decide

Multiple Choice

Suppose that two shipping companies, A and B, each decide to estimate the annual percentage of shipments on which a $100 or greater claim for loss or damage was filed by sampling their records, and they report the data shown below. $$\begin{array} { | l | c c | } \hline & \text { Company A } & \text { Company B } \\\hline \text { Total shipments sampled } & \text { 800 } & \text { 600 } \\\text { Number of shipments with a claim } \geq \$ 100 & 200 & 100 \\\hline\end{array}$$ The owner of Company B is hoping to use these data to show that her company is superior to Company A with regard to the percentage of claims filed. Which test would be used to properly analyze the data in this experiment?

A) The $\chi$ ² test of a contingency table in a two-way contingency table.
B) The $\chi$ ² goodness-of-fitness test.
C) The z-test for the difference in two proportions.
D) The ANOVA F test for main treatment effect.