Question

A simple random sample of 700 individuals provides 100 Yes responses. a. What is the point estimate of the proportion of the population that would provide Yes responses (to 2 decimals)? b. What is your estimate of the standard error of the proportion (to 4 decimals)? c. Compute the 95% confidence interval for the population proportion (to 4 decimals). ( , )

Answer 1

(a) The point estimate of the proportion of the population that would provide Yes response = p = 100/700 = 0.1429

(b)

q = 1 -p = 0.8571

n = sample size =700

Estimate of the standard error =

(c)

= 0.05

From Table, critical values of Z = 1.96

Confidence interval:

0.1429 (1.96 X 0.0132)

= 0.1429 0.0259

=(0.1170 ,0.1688)

So,

Confidence Interval:

0.1170 < P < 0.1688