***Problem #1*** For each scenario described below, identify the null hypothesis
ID: 3126613 • Letter: #
Question
***Problem #1***
For each scenario described below, identify the null hypothesis (H0) and the alternative hypothesis (HA).
(a) According to a Gallup poll conducted in 2008, 78% of Americans felt satisfied with the way things were going in their personal lives. A researcher wonders of the percentage satisfied is different today.
(b) Federal law requires that a jar of peanut butter that is labeled as containing 32 ounces must contain at least 32 ounces. A consumer protection organization thinks that the manufacturer of one brand of peanut butter is shortchanging customers by intentionally underfilling the jars.
(c) The mean score on the SAT Math reasoning exam is 516. A test preparation company claims that students who take their test preparation course get a higher score on the exam.
For each of the three scenarios described in problem 1, explain* what it would mean to make a Type I error in the given context. explain* what it would mean to make a Type II error in the given context. Do not use the terms "null hypothesis" or "alternative hypothesis" in your explanations.Explanation / Answer
NOte that a type I error is incorrectly rejecting a true null hypothesis.
Also, a type II error is incorrectly failing to reject a false null hypothesis.
a)
Type I: Incorrectly concluding that the percentage of Americans who are satisfied with the way things were going in their personal lives is different from 78%, when in fact, it is not different.
Type II: Incorrectly concluding that the percentage of Americans who are satisfied with the way things were going in their personal lives is still 78%, when in fact, it is different.
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b)
Type I: Incorrectly concluding that jars are underfilled, when in fact, they are not.
Type II: Incorrectly concluding that jars are not underfilled, when in fact, they are.
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c)
Type I: Incorrectly concluding that the scores increased, when in fact, they did not.
Type II: Incorrectly concluding that the scores did not increase, when in fact, they did.
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