Question

This question has two parts.

Part 1)

Assume that for an ad campaign to be successful, at least 76% of those seeing a television commercial must be able to recall the name of the company featured in the commercial one hour after viewing the commercial. Before distributing an ad campaign nationally, an advertising company plans to show the commercial to a random sample of 24 people. It will also show the same people two additional commercials for different products or businesses.

a. The expected number of people is ______ . (Type an integer or a decimal. Do not round.)

b. Suppose that in the sample of 24 people, 14 were able to recall the name of the company in the commercial one hour
after viewing. Based on the premise that the advertising campaign will be successful, what is the probability of 14 or fewer people being able to recall the company name?

The probability is ______ . (Round to four decimal places as needed.)

Part 2)

The data and scenario from this question follows from the previous question. Based on the results of parts a and b above, what conclusion might the advertising executives make about this particular advertising campaign?

a. The advertising campaign was a failure because the percentage that remember the company's name appears to be less than 76%.

b. The advertising campaign was a success because the percentage that remember the company's name appears to be greater than or equal to 76%.

c. The advertising campaign was a success because the percentage that remember the company's name appears to be less than 76%.

d. The advertising campaign was a failure because the percentage that remember the company's name appears to be greater than or equal to 76%.

Answer 1

Solo given that the data ij * n = 24 P= 0. 0.76 ECX) a) Expected number of people E(X)= np = 27X0.76 = 18.24 p(X=14) 6) (19 or fewer) - P( X < 1) = s 16 nox cx Xp" x(i-p) x=0 -0.04245 = I-P = 1-0.76 Part 2) 0.24 option f ¢ Correct وهلا The advertising Campaign was that remember the company's than or because the pacentage a success appears to be greater name Equal to 76%