N=56, x=19; 95% confidence

Question

use the given degree of confidence and sample data to construct interval for the population proportion p.

Answer 1

n=56, p =

x bar = 19 = np

p =19/n = 19/56

q= 1-19/56 = 37/56

sd = sqrVar = sqrnpq = sqr(19(37/56)= 0.,8128

for 95% CI use the empirical rule CI= (-2sd +x bar, 2sd + x bar)

= (19- sqr(37/56), 19 + sqr(37/56))

= about (18.1872, 19.8128)

= about (18, 20) rounded to nearest integer