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. 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 χ² test of a contingency table in a two-way contingency table. B)The χ² goodness-of-fitness test. C)The z-test for the difference in two proportions. D)The ANOVA F test for main treatment effect.

Question

Quizplus · Accepted Answer

The z-test for the difference in two proportions is the best choice for analyzing these data because it is appropriate for comparing the percentage of claims filed by two different groups (in this case, the two shipping companies). The other options are not suitable for this type of analysis. The χ² test of a contingency table and the χ² goodness-of-fitness test are both used to analyze categorical data, but they are not appropriate for comparing two groups. The ANOVA F test is used to analyze the differences between means of three or more groups, which is not relevant for this scenario.

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