PLEASE HELP ME UNDERSTAND WHY THE ANSWER IS 2500 A commercial for a breakfast cereal is shown during a certain television program. The manufacturer of the cereal wants to estimate the percent of television viewers who watch the program. The manufacturer wants the estimate to have a margin of error of at most 0.02 at a level of 95 percent confidence. Of the following, which is the smallest sample size that will satisfy the manufacturer’s requirements?
a. 40
b. 50
c. 100
d. 1700
e. 2500

The correct option is;

e. 2500

Step-by-step explanation:

The formula for sample size is given by the following formula;

At 95%, z = 1.96

ε = Margin of error = 0.02 = 2%

Finding the sample size, n, given only the margin of error is by the following formula;

Margin of error = 100/√n

Therefore, we have;

2 = 100/√n

√n = 100/2 = 50

n = 50² = 2500

Therefore, the correct option is e. 2500.

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

answer is c

step-by-step explanation:

81/12=324/x

x=48