Political science, inc. (psi) specializes in voter polls and surveys designed to keep political office seekers informed of their position in a race. using telephone surveys, interviewers ask registered voters who they would vote for if the election were held that day. in a recent election campaign, psi found that 220 registered voters, out of 500 contacted, favored a particular candidate. develop a 95% confidence interval estimate for the proportion of the population of registered voters that favors the candidate.

[198.421, 241.579]

Step-by-step explanation:

If 220 registered voters out of 500 contacted favored a particular candidate, we can approximate the mean:

= 220

the proportion is

p = 220/500 = 0.44

We can approximate the standard deviation with

To find a 95% confidence interval estimate for the proportion of the population of registered voters that favors the candidate  we must find values a, b such that the area under the Normal curve of mean 220 and standard deviation 11.01 on the interval [a, b] equals 95% = 0.95

We can work out those points with a spreadsheet and find  

[a, b] = [198.421, 241.579]  

(See picture attached)

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%