Question

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 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. Without going into details, it is said that she correctly identified every one! You have been chosen to recreate this experience with a classmate and have fixed 40 cups of tea, of which your classmate correctly identifies 15. Assume that the 40 trials can be treated as a simple random sample from the population of all guesses your classmate would make in her lifetime. Based on the results, which of the following is the 95% confidence interval for p? Read each option very carefully before choosing. Question 29 options:

(0.298, 0.452)

(0.220, 0.530)

(0.225, 0.525)

(-1.585, 2.335)

Answer 1