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 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. What technique should we use to determine if your classmate meets the Lady's standard?

Question 34 options:

	1-sample z test for proportions
	1-sample t test
	1-variable chi-square test
	2-sample z test for proportions
	2-sample t test
	2-variable chi-square test
	analysis of variance
	correlation analysis
	linear regression

Answer 1

1-sample z test for proportions

Explanation:

For the given scenario, we have to check the claim for proportion of the correctly identification of the given condition regarding testing tea. So, we want to check whether the population proportion of the correct identification of the condition is approximately equal to one or not. In other words, we want to check whether your classmate correctly identifies all of the cups of tea regarding tea first or milk first condition. Here, we are considering single sample and we are testing about the population proportion. So, correct test is one sample z test for population proportion.