In a simple random sample of 800 people age 20 and over in a certaincountry, the proportion with a certain disease was found to be 0.085 (or 8.5%). Complete parts(a) through(d) below.

a. What is the standard error of the estimate of the proportion of all people in the country age 20 and over with thedisease?

b. Find the margin oferror, using a95% confidencelevel, for estimating this proportion.

c. Report the95% confidence interval for the proportion of all people in the country age 20 and over with the disease.

d. According to a governmentagency, nationally, 7.5% of all people in the country age 20 or over have the disease. Does the confidence interval you found in part(c) support or refute thisclaim? Explain.