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# Statistics in the Media One of the more popular statistics

## Problem 31AYU Chapter Chapter 10.2

Fundamentals of Statistics | 4th Edition

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Fundamentals of Statistics | 4th Edition

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Problem 31AYU

Problem

Statistics in the Media One of the more popular statistics reported in the media is the president’s job approval rating. The approval rating is reported as the proportion of Americans who approve of the job that the sitting president is doing and is typically based on a random sample of registered voters.

(a) This proportion tends to fluctuate from week to week. Name some reasons for the fluctuation in the statistic.

(b) A recent article had the headline “Obama Ratings Rise.” This headline was written because a December 2010 poll showed President Obama’s approval rating to be 0.48 (48%). A poll the following January based on 1500 randomly selected Americans showed that 747 approved of the job Obama was doing. Do the results of the January poll indicate that the proportion of Americans who approve of the job Obama is doing is significantly higher than December’s level? Explain.

Step-by-Step Solution:

Step 1 of 2</p>

One of the more popular statistics reported in the media is the president’s job approval rating. The approval rating is reported as the proportion of Americans who approve of the job that the sitting president is doing and is typically based on a random sample of registered voters.

(a)  The proportion could be changing due to sampling error — different people are in the sample. The proportion could also be changing because people’s attitudes are changing.

(b)   No, the probability of obtaining a sample proportion of

And p = 48% = 0.48

The Hypotheses can be expressed as

Step 2 of 2

##### ISBN: 9780321838704

This textbook survival guide was created for the textbook: Fundamentals of Statistics, edition: 4. Since the solution to 31AYU from Chapter 10.2 chapter was answered, more than 3007 students have viewed the full step-by-step answer. The answer to “Statistics in the Media One of the more popular statistics reported in the media is the president’s job approval rating. The approval rating is reported as the proportion of Americans who approve of the job that the sitting president is doing and is typically based on a random sample of registered voters.(a) This proportion tends to fluctuate from week to week. Name some reasons for the fluctuation in the statistic.________________(b) A recent article had the headline “Obama Ratings Rise.” This headline was written because a December 2010 poll showed President Obama’s approval rating to be 0.48 (48%). A poll the following January based on 1500 randomly selected Americans showed that 747 approved of the job Obama was doing. Do the results of the January poll indicate that the proportion of Americans who approve of the job Obama is doing is significantly higher than December’s level? Explain.” is broken down into a number of easy to follow steps, and 146 words. This full solution covers the following key subjects: job, obama, president, doing, Rating. This expansive textbook survival guide covers 51 chapters, and 2146 solutions. Fundamentals of Statistics was written by Patricia and is associated to the ISBN: 9780321838704. The full step-by-step solution to problem: 31AYU from chapter: Chapter 10.2 was answered by Patricia, our top Statistics solution expert on 04/03/17, 08:02AM.

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