A marketing survey is conducted in which students are to taste two different brands of soft drink. Their task is to correctly identify the brand tasted. A random sample of 190 students is taken. Assume that the students have no ability to distinguish between the two brands. Complete (a) through (d) below.

a. What is the probability that the sample will have between 50% and 55% of the identifications correct?

b. The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage? Identify the limits of the population percentage.

The lower limit is=

the upper limit is=

The sample percentage will be contained with what percent symmetrically around the population percentage.

c. What is the probability that the sample percentage of correct identifications is greater than 65%?

c. What is the probability that the sample percentage of correct identifications is greater than 65%?

d. Which is more likely to occur-more than 58% correct identifications in a sample of 190 or more than 54% correct identifications in a sample of 1,000? Explain. Choose from the selections below.

A. Event 2 is more likely because the Z-value for it is greater than the Z-value for event 1, and therefore its probability is greater than that of event 1.

B. They are equally likely.

C. Event 1 is more likely because the Z-value for its is less than the Z-value for event 2, and therefore its probability is greater than that of event 2.

D. It cannot be determined fromt the information given.