Example 2: Coke/Pepsi Taste TestSuppose 500 people participate in a blind Coke/Pepsi taste test, and 285 of them prefer Coke while the other 215 of them prefer Pepsi.If we conduct inference (creating a confidence interval or conducting a hypothesis test) using this data, should we use the formulas for a single proportion or a difference in proportions? If we want to test whether the preferences are equally split between Coke and Pepsi, what is the null hypothesis? In terms of the outcome of the test, does it matter whether we define p to be the proportion of people who prefer Coke or the proportion of people who prefer Pepsi?

Name: Example 2: Coke/Pepsi Taste TestSuppose 500 people participate in a bl
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Description: Example 2: Coke/Pepsi Taste TestSuppose 500 people participate in a blind Coke/Pepsi taste test, and 285 of them prefer Coke while the other 215 of them prefer Pepsi.If we conduct inference (creating a confidence interval or conducting a hypothesis t

Given, n = 500 x1 = coke = 285 x2 = Pepsi = 215 To find, 1. If we conduct inference (creating a confidence interval or conducting a hypothesis test) using this data, should we use the formulas for a single proportion or a difference in proportions? 2. If we want to test whether the preferences are equally split between Coke and Pepsi, what is the null hypothesis? 3. In terms of the outcome of the test, does it matter whether we define p to be the proportion of people who prefer Coke or the proportion of people who prefer Pepsi? 1. If we conduct inference (creating a confidence interval or conducting a hypothesis test) using this data, should we use the formulas for a single proportion or a difference in proportions? Answer: We have , Proportion for coke taste test :P1 = x1n = 285500 = 0.57Proportion for pepsi taste test:P2 = x2n = 215500 = 0.43 Here, we have two proportions for comparing two variables. So, we have to use difference inproportion test here. 2. If we want to test whether the preferences are equally split between Coke and Pepsi, what is the null hypothesis? Answer: Given that, preferences are equally split that means P1 = P2 The null hypothesis is H0: P1 = P2 (There is no difference in proportion of Preferences for coke and pepsi ) 3. In terms of the outcome of the test, does it matter whether we define p to be the proportion of people who prefer Coke or the proportion of people who prefer Pepsi? Answer: Yes it matters. we should define proportion for coke and proportion for pepsi. If we didn't define the proportions then we can not conclude the results

Answered: Suppose 500 people participate in a…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Example 2: Coke/Pepsi Taste Test

Suppose 500 people participate in a blind Coke/Pepsi taste test, and 285 of them prefer Coke while the other 215 of them prefer Pepsi.

If we conduct inference (creating a confidence interval or conducting a hypothesis test) using this data, should we use the formulas for a single proportion or a difference in proportions?

If we want to test whether the preferences are equally split between Coke and Pepsi, what is the null hypothesis?

In terms of the outcome of the test, does it matter whether we define p to be the proportion of people who prefer Coke or the proportion of people who prefer Pepsi?

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