Ten engineering schools were surveyed. The sample contained 250 electrical

Ten engineering schools were surveyed. The sample contained 250 electrical engineers and 175 chemical engineers. Out of 250 electrical engineers, 80 were found to be women and out of 175 chemical engineers, 40 were found to be women. Using "R statistical software", please answer the following questions (a) Construct a 95% confidence interval for the difference between the proportions of women in these two fields of engineering. Is there any difference between the two proportions (b) Can the same conclusion be reached by carrying out a formal test of hypothesis