A. Advertisers contract with Internet service providers and search engines to pl

Question

A.

Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be with 0.04 of the population proportion?

B.

Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be greater than 0.45?

Explanation / Answer

Solution:-
A) Given valvues n = 380 , P = 0.45
Standard error = Sqrt[0.40(1-0.40)/380] = 0.025
P(0.36<p<0.44)
Z = (0.36-0.40)/0.025
= 1.6
P(z<1.6)-p(z<-1.6)
= 0.9452 - 0.0548
= 0.8904

B) P>0.45
Z = (0.45-0.40)/0.025 = 2
P(z>2) 1-p<2
1-.9772
=0.0228

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