Answer:
Z = = 1.6
we reject the Null hypothesis
Step-by-step explanation:
The correct test statistic
Assume :
Null Hypothesis : H_0 : p = 0.08
Alternative hypothesis : H_a : p ≠ 0.08
p = proportion of residents that are unemployed
x = unemployed residents = 22
n = sample size = 200
To get the sample of the population that is unemployed we use this equation
= 22 / 200 = 0.11
now we apply the test of of significance of single proportion
= Z =
therefore Z = = 1.6
Therefore we reject the Null hypothesis