Answer: (0.186, 0.298)
Explanation:
The formula to find the confidence interval for the difference of the population proportion is given by :-
... (i)
, where
Sample size of population 1.
Sample size of population 2.
Sample proportion of population 1.
= Sample proportion of population 2.
z* = Critical z-value corresponding to confidence interval
As per given , we have


Critical value corresponds to 95% confidence interval = 1.96
Put all these values , in (i) , we get

Hence, the 95% confidence interval for the difference of the population proportions= (0.186, 0.298)