Question

a big city 360 men out of 600 men were found to be smokers. Does this information support the conclusion that the majority of men in this city are smokers. Find the test the Statistic Z =

Answer 1

Answer:

given,

n= 600

p = simple proportion of smokers

then

P = population proportion of smokers in the city

null hypothesis H0

the number of smokers and non smokers are equal

then

Hi:P> 0.5

test statistic

P-Q = 0.5417 -0.5 = 2.04

then z = 2.04

value of z at 5% level of significance for right tailed test is 1.645

since Z> tabulate value of z we reject null hypothesis

i,e

The majority of men in the city are smokers