Answer:
99% confidence interval is:
(0.00278 < P1 - P2< 0.15921)
Step-by-step explanation:
For calculating a confidence intervale for the difference between the proportions of workers in the two cities, we calculate the following:
Where : proportion sample of individuals who worked
at more than one job in the city one
: Number of respondents in the city one
: proportion sample of individuals who worked
at more than one job in the city two
: Number of respondents in the city two
Then
α = 0.01 and α/2 = 0.005
and
and
The confidence interval is:
(0.00278 < P1 - P2< 0.15921)