By some accounts, the first formal hypothesis test to use statistics involved the claim of a...

 

 

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By some accounts, the first formal hypothesis test to use statistics involved the claim of a lady tasting tea. In the 1920's Muriel Bristol-Roach, a British biological scientist, was at a tea party where she claimed to be able to tell whether milk was poured into a cup before or after the tea. R.A. Fisher, an eminent statistician, was also attending the party. As a natural skeptic, Fisher assumed that Muriel had no ability to distinguish whether the milk or tea was poured first, and decided to test her claim. An experiment was conducted in which Muriel was presented with 8 cups of tea, and for each cup she correctly guessed whether the milk was added first or the tea added first. Let's assume that Muriel did not know beforehand how many of the 8 cups had tea first and how many had milk first. Let p represent the true proportion of times Muriel can guess correctly. Our hypotheses are Ho: p=0.5 (random guessing) and H.: p>0.5. Click here to access Statkey. ¹Salzburg. D. (2002) The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century, New York: W.H. Freeman. (b) Give the value of the sample statistic. Enter the exact answer. Value== 2.82 By some accounts, the first formal hypothesis test to use statistics involved the claim of a lady tasting tea. In the 1920's Muriel Bristol-Roach, a British biological scientist, was at a tea party where she claimed to be able to tell whether milk was poured into a cup before or after the tea. R.A. Fisher, an eminent statistician, was also attending the party. As a natural skeptic, Fisher assumed that Muriel had no ability to distinguish whether the milk or tea was poured first, and decided to test her claim. An experiment was conducted in which Muriel was presented with 8 cups of tea, and for each cup she correctly guessed whether the milk was added first or the tea added first. Let's assume that Muriel did not know beforehand how many of the 8 cups had tea first and how many had milk first. Let p represent the true proportion of times Muriel can guess correctly. Our hypotheses are Ho: p=0.5 (random guessing) and H.: p>0.5. Click here to access Statkey. ¹Salzburg. D. (2002) The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century, New York: W.H. Freeman. (b) Give the value of the sample statistic. Enter the exact answer. Value== 2.82

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Answer From the available information The sample size is N8 so the number of favorable cases is X8 a... View the full answer