Answer:
The result of this test is 0.2156
Step-by-step explanation:
Given the data in the question;
The proportion of Americans having medical bill financial issues is ;
p = 20.9% = 0.209
CLAIM;
The problem is more severe among the cities
so
H₀ : p = 0.209
H₁ : p > 0.209 { this is our claim }
population n = 400
number of people that reported difficulty x = 90
so
sample proportion p" = x / n = 90 / 40 = 0.225
Test Statistics;
z = [ (p"-p) / √( (p(1-p))/n ) ]
we substitute
z = [ (0.225 - 0.209) / √( (0.209(1-0.209)) / 400 ) ]
z = [ 0.016 / √0.0004132976 ]
z = [ 0.016 / 0.0203297 ]
z = 0.787
P-VALUE
p-value = P( Z ≥ z )
p-value = P( Z ≥ 0.787 )
p-value = P( Z ≤ -0.787 )
from normal distribution table;
p-value = P( Z ≤ -0.787 ) = 0.2156
p-value = 0.2156
Therefore, The result of this test is 0.2156