An appliance manufacturer stockpiles washers and dryers in a large warehouse for shipment to retail stores. Some appliances get damaged in handling. The long-term goal has been to keep the level of...

An appliance manufacturer stockpiles washers and dryers in a large warehouse for shipment to retail stores. Some appliances get damaged in handling. The long-term goal has been to keep the level of damaged machines below 2%. In a recent test, an inspector randomly checked 60 washers and discovered that 5 of them had scratches or dents. Test the null hypothesis
 in which
 represents the probability of a damaged washer

(a)  Do these data supply enough evidence to reject? Use a binomial model to obtain the
-value.

(b)  What assumption is necessary in order to use the  binomial model for the count of the number of  damaged washers?

(c) Test
 by using a normal model for the sampling distribution of
. Does this test reject
?

(d)  Which test procedure should be used to test H0? Explain your choice.