Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

America's young people are heavy Intemet users; 87$\%$ of Americans ages 12 to 17 are Internet users (The Cincinnati Enquirer, February $7,2006$ ). MySpace was voted the most popular website by 9$\%$ in a sample survey of Internet users in this age group. Suppose 1400 youths participated in the survey. What is the margin of error, and what is the interval estimate of the population proportion for which MySpace is the most popular website? Use a 95$\%$ confidence level.

0.01500.0750 to 0.1050

Intro Stats / AP Statistics

Chapter 8

Interval Estimation

Confidence Intervals

Temple University

Missouri State University

Cairn University

Idaho State University

Lectures

0:00

05:08

According to a November 20…

01:37

A simple random sample of …

09:00

The Cincinnati Enquirer re…

03:05

Facebook provides a variet…

04:44

"Tweens or teens&quo…

06:14

A survey showed that 8$\%$…

05:15

The percentage of American…

03:01

Social Networking Sites A …

06:01

The 92 million Americans o…

01:20

A national survey of 6700 …

02:07

COMPUTERS In 1999, 73\% of…

03:46

The graph shows the number…

06:23

Pew Research, in November …

03:40

Based on a survey of 1000 …

05:32

The increase in Internet u…

01:56

Home Internet Access Accor…

01:51

For each situation, find t…

01:49

Smartphone Ownership A rec…

04:36

Social Network In Exercise…

03:19

Based on a survey conduct…

All right. So you have this survey about Internet use, Mom youths. We find that 87% of those youths who used the Internet are from the age group of 12 to 17 years old. We also told that 9% of those surveyed believe that MySpace is the most popular social media site. Now we want to find but the margin of error and interval estimates of this up the number of youths. Sorry. The proportion of youths that believe my space is a popular social media site. Part of the difficulty in this one is trying to figure out whether or not which proportion actually you should be using for a point estimate is that the 87% or the 9%. And because we're looking specifically at a point estimate Sorry. Uh, interval off the proportion of those super leave. My space is a popular, uh, social media site. He sure? Oops. Our point ASAP, it's 0.0 night, 0.87 The 87%. It's fairly unnecessary. The problem. All right, so it wants us to find the margin of error, so that's gonna be see are critical value times proportion times one minus proportion all over. And so we know end is it says that 1400 students our survey for this, uh, we want 95% confidence, which implies a critical value of 1.96 So thus we want 1.96 times. Could be 0.90 point 91 all over 1400. And when you do the math, that's turns out to be 0.150 ramping to four decimal places. So that's our margin there. Now, for interval, we want point estimate, plus or minus or margin of error, which can be 0.9 plus or minus 0.150 And this goes to the interval. Zero point for some. Sorry, My bad. 0750 0.1050 There you haven't

View More Answers From This Book

Find Another Textbook

According to a November 2008 survey completed by the Pew Internet \& Ame…

A simple random sample of $3,500$ people age 18 or over is taken in a large<…

The Cincinnati Enquirer reported that, in the United States, 66$\%$ of adult…

Facebook provides a variety of statistics on its Web site that detail the gr…

"Tweens or teens" refers to the age group of students in seventh …

A survey showed that 8$\%$ of Internet users age 18 and older report keeping…

The percentage of Americans ages $30-49$ who use social networking sites can…

Social Networking Sites A recent survey of 8 ran-domly selected social n…

The 92 million Americans of age 50 and over control 50 percent of all discre…

A national survey of 6700 teens was conducted, and it found that $81 \%$ of …

COMPUTERS In 1999, 73\% of American teenagers used the Internet. Five years …

The graph shows the number of Internet users in the United States and worldw…

Pew Research, in November 2011, polled a random sample of 799 U.S. teens abo…

Based on a survey of 1000 adults by Greenfield Online and reported in a May …

The increase in Internet usage over the past few years has been phenomenal, …

Home Internet Access According to a study, $96 \%$of adults ages $18-29$…

For each situation, find the margin of error for the sample. Then find an in…

Smartphone Ownership A recent survey of 349 peopleages 18 to 29 found th…

Social Network In Exercise 43 of the previous section, the probability densi…

Based on a survey conducted by Greenfield Online,25 - to 34 -year-olds …

04:32

Bank of America's Consumer Spending Survey collected data on annual cre…

05:34

Would you expect more reliable and better performing cars to cost more? Cons…

06:21

Consider the following hypothesis test:$$\begin{array}{l}{H_{0} : \mu=18…

10:11

Annual starting salaries for college graduates with degrees in business admi…

05:40

Three different methods for assembling a product were proposed by an industr…

04:59

Suppose we have a multinomial population with four categories: $\mathrm{A}, …

Consider the following hypothesis test:$$\begin{array}{l}{H_{0} : \mu \l…

01:16

Annual salary plus bonus data for chief executive officers are presented in …

14:13

Consider the following hypothesis test:$$\begin{aligned} H_{0} : p &…

03:22

In exercise I, the following estimated regression equation based on 10 obser…