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.
Econo-Move On-the-Move
Total shipments sampled 900 750
Number of shipments with a claim ≥ $50 162 60
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. Is there evidence the On-the-Move company has less claims?
Using the 0.10 level of significance,
a) State the null hypothesis
b) State the alternative hypothesis
c) What critical values should be used?
d) What is the test statistic?
e) What is the p-value?
f) Interpret the meaning of the p-value
g) Should the null hypothesis be rejected
h) What is the conclusion?
i) State one of the assumptions needed