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12 4.31 The Lady Tasting Tea By some accounts, the first formal hypothesis test to use statistics involved the claim of a lady tasting tea. ¹2 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 dis- tinguish whether the milk or tea was poured first, and decided to test her claim. An experiment was designed in which Muriel would be presented with some cups of tea with the milk poured first, and some cups with the tea poured first. (a) In plain English (no symbols), describe the null and alternative hypotheses for this scenario. (b) Let p be the true proportion of times Muriel can guess correctly. State the null and alterna- tive hypothesis in terms of p. 32

12 4.31 The Lady Tasting Tea By some accounts, the first formal hypothesis test to use statistics involved the claim of a lady tasting tea. ¹2 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 dis- tinguish whether the milk or tea was poured first, and decided to test her claim. An experiment was designed in which Muriel would be presented with some cups of tea with the milk poured first, and some cups with the tea poured first. (a) In plain English (no symbols), describe the null and alternative hypotheses for this scenario. (b) Let p be the true proportion of times Muriel can guess correctly. State the null and alterna- tive hypothesis in terms of p. 32

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can you explain 4.31 ? Thank you
**Title: The Lady Tasting Tea** In the 1920s, Muriel Bristol-Roach, a British biological scientist, claimed she could determine if milk was poured into tea before or after the tea was poured. The celebrated statistician R.A. Fisher, present at the same party, decided to test her assertion through an experiment that involved serving several cups of tea: some with milk added first, and others with tea added first. **Hypothesis Testing:** (a) **In Plain English:** The null hypothesis asserts that Muriel’s claim is false, meaning she cannot distinguish whether the milk was added first. The alternative hypothesis suggests that Muriel can indeed identify the correct sequence. (b) **Mathematical Terms:** Let \( p \) represent the true proportion of times Muriel can correctly identify the sequence. The null hypothesis (H0) would state that \( p = 0.5 \), indicating no ability beyond random guessing. The alternative hypothesis (H1) would contend that \( p > 0.5 \), suggesting a genuine ability to discern the difference. **Flaxseed and Omega-3** Studies indicate that omega-3 fatty acids offer numerous health benefits. These oils are commonly found in foods like fish, walnuts, and flaxseed.
Transcribed Image Text:**Title: The Lady Tasting Tea** In the 1920s, Muriel Bristol-Roach, a British biological scientist, claimed she could determine if milk was poured into tea before or after the tea was poured. The celebrated statistician R.A. Fisher, present at the same party, decided to test her assertion through an experiment that involved serving several cups of tea: some with milk added first, and others with tea added first. **Hypothesis Testing:** (a) **In Plain English:** The null hypothesis asserts that Muriel’s claim is false, meaning she cannot distinguish whether the milk was added first. The alternative hypothesis suggests that Muriel can indeed identify the correct sequence. (b) **Mathematical Terms:** Let \( p \) represent the true proportion of times Muriel can correctly identify the sequence. The null hypothesis (H0) would state that \( p = 0.5 \), indicating no ability beyond random guessing. The alternative hypothesis (H1) would contend that \( p > 0.5 \), suggesting a genuine ability to discern the difference. **Flaxseed and Omega-3** Studies indicate that omega-3 fatty acids offer numerous health benefits. These oils are commonly found in foods like fish, walnuts, and flaxseed.
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