Question 4 20 pts A study was conducted to determine if there was a significant difference in the proportion of women that were members of the National Research Council in biology and mathematics. 210 of 361 members in biology were women, and only 34 of 86 members in mathematics are women. Determine a 95% confidence interval of the difference in proportions of women in biology and women in mathematics. O 0.187 + 0.115 O 0.187 + 0.154 O 0.395 + 0.103 O 0.543 + 0.154 O 0.582 + 0.051Question 3 20 pts Which of the following is the correct "independent" condition that must be met to calculate a confidence interval for the difference between two proportions? O There is no independent condition for a two proportion z interval. O The sum of the samples must be less than 10% of the combined populations. O Both samples must be less than 10% of the population they were collected from. O You can always assume the samples were collected independently.Question 1 20 pts Which of the following is the correct "random" condition that must be met to calculate a confidence interval for the difference between two proportions? O An SRS must be used to collect one of the samples. O An SRS must be used to collect both of the samples. O An SRS is not necessary since there are two populations. O An SRS is not necessary as long as n > 30