If you could show work for 33 that would be great! I think I understand, it's just the process I'm confused about

QUESTION 33 One of the more famous anecdotes in the field of statistics is known as the "Lady Tasting Tea" and involves the renowned statistician Sir Ronald Aylmer Fisher. A woman claimed to be able to tell the difference in a cup of tea depending on whether or not the milk or tea was poured first. This seemed to be an incredible boast to those in earshot, so Sir Fisher proposed a test. He poured a number of cups of tea, some with tea first and some with milk first, then randomized the order in which she tasted the cups. (We omit the details here, but it is said that she correctly identified every one!) You have chosen to recreate this experience with a classmate and have fixed 40 cups of tea, of which your classmate correctly identifies 12. How large a sample n would you need to estimate p with margin of error 0.01 with 95% confidence? Use the guess p = 0.30 as the value for p. n = 42 n = 81 n = 4116 n = 8068 QUESTION 34 A random sample of 900 13- to 17-year-olds found that 411 had responded better to a new drug therapy for autism. Let p be the proportion of all teens in this age range who respond better. A 95% confidence interval for p is 0.46 + 0.017. 0.46 + 0.027. 0.46 + 0.033. 0.46 + 0.248. QUESTION 35 A national polling agency conducted a poll in which an SRS of 3000 Americans that are registered to vote were contacted regarding whether additional taxes should be imposed on gasoline to encourage individuals to purchase more fuel-efficient automobiles. The agency obtained answers from 1200 Americans and found that 580 would vote for the proposed taxes. Let p represent the proportion of registered voters that would vote for the proposed taxes. A 90% confidence interval for p is 0.483 + 0.014. 0.483 + 0.024. 0.483 + 0.028. 0.483 + 0.249