Step by Step In Detail Please The New York Times has reporte

The New York Times has reported that 67% of adult US citizens support the government\'s efforts against ISIS with a standard deviation of 16%. A randomly selected group of 16 students are asked about their support of the government\'s efforts. What is the probability that their level of support is a) Greater than 70%? b) Less than 60%? c) Between 60% and 70%?

Solution

Population proportion =67%

std dev = 16%

n =16

std error = 16/rt16 = 4

a) P(x>70%) = P(Z>(70-67)/4) = 0.2266

b) P(X<60%) = P(Z<-1.75) = 0.1200

c) P(60%<x<70%) = P(-1.75<z<0.75) = 0.6534