Question

A random sample of 100 preschool children in Camperdown revealed that only 60 had been vaccinated. Provide an approximate 95% confidence interval for the proportion vaccinated in that suburb.

a) We have 95% confidence that the interval, .5842 ≤ μ ≤ .7903 will contain the population proportion of children who have been vaccinated.

b) We have 95% confidence that the interval, .5504 ≤ μ ≤ .6560 will contain the population proportion of children who have been vaccinated.

c) We have 95% confidence that the interval, .5199 ≤ μ ≤ .6800 will contain the population proportion of children who have been vaccinated.

d) We have 95% confidence that the interval, .5040 ≤ μ ≤ .6960 will contain the population proportion of children who have been vaccinated.

Answer 1

p = 60/100 = 0.6

n = 100

Z for 95% confidence interval = Z_0.025 = 1.96

Confidence interval

                               

                               

                                = (0.5040 , 0.6960)

Option-D) We have 95% confidence that the interval, .5040 ≤ μ ≤ .6960 will contain the population proportion of children who have been vaccinated.