Moving Companies Are Required by the Government to Publish a Carrier

Multiple Choice

Moving companies are required by the government to publish a Carrier Performance Report each year.One of the descriptive statistics they must include is the annual percentage of shipments on which a $50 or greater claim for loss or damage was filed.Suppose two companies,Econo-Move and On-the-Move,each decide to estimate this figure by sampling their records,and they report the data shown in the following table. $$\begin{array} { | l | l | l | } \hline & \text { Econo-Move } & \text { On-the-Move } \\\hline \text { Total shipments sampled } & 900 & 750 \\\hline \text { Number of shipments with a claim } \geq \$ 50 & 162 & 60 \\\hline\end{array}$$ The owner of On-the-Move is hoping to use these data to show that the company is superior to Econo-Move with regard to the percentage of claims filed.Which test would be used to properly analyse the data in this experiment?

A) Z test for the difference between two proportions.
B) Separate variance t test for the difference between two means.
C) Z test for the difference between two means.
D) Test for the difference between two variances.