The probability of female workers from population 1 is 0.7 and that of population 2 is 0.75. A random sample of 200 workers from population 1 results in 144 females, while a random sample of 120 workers from population 2 results in 96 females. Find the following (a) Standard error for the difference between sample proportions 𝑝 2 − 𝑝 1 (b) The probability that the sample proportion of population 2 exceeds that of population 1 by 7%.