Answer and Explanation:
A. The point estimate of individuals that would provide yes responses is the sample proportion. The sample proportion is calculated by dividing number of yes responses by sample size:
p = x/n = 200/700= 0.2857
B. The standard error of the population is the square root of the product of the point estimate and it's complement divided by the sample size given by
√p(1-p)/n
=√0.2857(1-0.2857)/700= 0.0170
C. For confidence level 95%, z score is calculated 1-0.95= 0.05/2= 0.025
Z score checked under the table = 1.96
Boundaries=
P-1.96 *standard error and p+1.96 *standard error
= 0.2857-1.96*0.0170= -0.25238
=0.2857+1.96*0.0170= 0.31902
Note : BODMAS demands we multiply first in the above calculation before subtraction or addition.
