The Red Lobster restaurant chain regularly surveys its
customers. On the basis of these surveys, the management of the
chain claims that 75% of its customers rate the food as excellent.
A consumer testing service wants to examine the claim by asking 460
customers to rate the food. a. What is the expected value of the
sample proportion, , of customers that rate the food as excellent?
Also find the standard error of the ? b. What is the probability
that less than 70% rate the food as excellent?