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. $$\begin{array} { | l | c c | } \hline & \text { Company A } & \text { Company B } \ \hline \text { Total shipments sampled } & \text { 800 } & \text { 600 } \ \text { Number af shipments with a clain } \geq \$ 100 & 200 & 100 \ \hline \end{array}$$ 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.

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Quizplus · Accepted Answer

The best test to analyze this data would be the z-test for the difference in two proportions. This is because we are comparing the percentages of claims filed by two different companies, which can be considered two proportions. The z-test is appropriate when we have two proportions and we want to determine if they are significantly different from each other. The other options listed are not appropriate for this type of analysis.

Suppose That Two Shipping Companies,A and B,each Decide to Estimate