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Q 12.

Expert-verified

The Practice of Statistics for AP Examination

Found in: Page 507

Book edition 6th

Author(s) Daren Starnes, Josh Tabor

Pages 837 pages

ISBN 9781319113339

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Short Answer

More weight loss Refer to Exercise $6$ . Interpret the confidence level.

$95 %$ of all samples are having $95 %$ confidence interval that have true population parameter.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Information

Confidence interval is $95 %$ and proportion is localid="1654197145883" $(0.56, 0.62)$ .

Step 2: Simplification

$95 %$ confidence interval shows the proportion of US adults willing to lose weight.
$95 %$ of all samples have $95 %$ confidence that have true population parameter.

Most popular questions for Math Textbooks

September 11 A recent study asked U.S. adults to name $10$ historic events that occurred in their lifetime that have had the greatest impact on the country. The most frequently chosen answer was the September $11$ $, 2001$ , terrorist attacks, which was included by $76 %$ of the $2025$ randomly selected U.S. adults. Construct and interpret a $95 %$ confidence interval for the proportion of all U.S. adults who would include the $9 / 11$ attacks on their list of $10$ historic events.

Catching goldfish for school Carly and Maysem plan to be preschool teachers after they graduate from college. To prepare for snack time, they want to know the mean number of goldfish crackers in a bag of original-flavored goldfish. To estimate this value, they randomly selected $12$ bags of original-flavored goldfish and counted the number of crackers in each bag. Here are their data:

Construct and interpret a $95 %$ confidence interval for the true mean number of crackers in a bag of original- flavored goldfish.

Check them all Determine if the conditions are met for constructing a confidence interval for the population mean in each of the following settings.

a. How much time do students at your school spend on the Internet? You collect data from the $32$ members of your AP Statistics class and calculate the mean amount of time that these students spent on the Internet yesterday.

b. Is the real-estate market heating up? To estimate the mean sales price, a realtor in a large city randomly selected $100$ home sales from the previous $6$ months in her city. These sales prices are displayed in the boxplot.

Rating school food Latoya wants to estimate the proportion of the seniors

at her boarding school who like the cafeteria food. She interviews an SRS of $50$ of the $175$ seniors and finds that $14$ think the cafeteria food is good.

A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to eighteen. To find this out, he poses the following question to his listeners: “Do you think that the drinking age should be reduced to eighteen in light of the fact that 18-year-olds are eligible for military service?” He asks listeners to go to his website and vote “Yes” if they agree the drinking age should be lowered and “No” if not. Of the 100 people who voted, 70 answered “Yes.” Which of the following conditions are violated?

I. Random

II. 10%

III. Large Counts

a. I only

b. II only

c. III only

d. I and II only

e. I, II, and III

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