A brand name has a 60 recognition rate Assume the owner of

A brand name has a 60 % recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 6 randomly selected consumers.

If 6 consumers are randomly selected, is 5 an unusually high number of consumers that recognize the brand name?

A. Yes, because the probability that 5 or more of the selected consumers recognize the brand name is less than 0.05.

B. No, because the probability that 5 or more of the selected consumers recognize the brand name is less than 0.05.

C. No, because the probability that 5 or more of the selected consumers recognize the brand name is greater than 0.05.

D. Yes, because the probability that 5or more of the selected consumers recognize the brand name is greater than 0.05.

Solution

As we saw the probability  0.233, which is not lower than 0.05, and thus, is not unusual.

C. No, because the probability that 5 or more of the selected consumers recognize the brand name is greater than 0.05.