In New York City on October 23rd, 2014, a doctor who had recently been treating Ebola

patients in Guinea went to the hospital with a slight fever and was subsequently diagnosed with

Ebola. Soon thereafter, an NBC 4 New York/The Wall Street Journal/Marist Poll found that 81%

of New Yorkers favored a "mandatory 21-day quarantine for anyone who has come in contact with an

Ebola patient". This poll included responses of 1,000 New York adults between Oct 26th and 28th,

2014.

(a) What is the point estimate in this case, and is it reasonable to use a normal distribution to model

that point estimate?

(b) Estimate the standard error of p = 0.81 from the Ebola survey.

(c) Construct a 95% confidence interval for p, the proportion of New York adults who supported a

quarantine for anyone who has come into contact with an Ebola patient.