Question

Determine the point estimate of the population? proportion, the margin of error for the following confidence? interval, and the number of individuals in the sample with the specified? characteristic, x, for the sample size provided.

Lower bound: .543 upper bound= .877 n=1500

Answer 1

Lower bound for proportion confidence interval is - E = 0.543

Upper bound for proportion confidence interval is + E = 0.877

Where is point estimate of the population proportion and E is margin of error.

Now,

- E = 0.543 and   + E = 0.877

Solve these two equations by adding together,

2 = 0.543 + 0.877

= 0.71

put this value of in equation + E = 0.877 and solve for E

0.71 + E = 0.877

E = 0.167

So,

Point estimate of population proportion = 0.71

Margin of error = 0.167