About 75%of young adult internet users (ages18-29)watch online video. Suppose that a sample survey contacts an SRS of 1000young adult Internet users and calculates the proportion of pin this sample who watch online video.

Find the standard deviation of the sampling distribution of p.check that the 10%condition is met.

Short Answer

Expert verified

The standard deviation is0.0137

Step by step solution

01

Step-1 Given Information

Given in the question that

population proportion (P)=75%=0.75

Sample size(n)=1000we have to find the standard deviation.

02

Step-2 Explanation

The standard deviation of the sampling distribution pis:

localid="1650022496391" σp=p(1-p)n=0.75(10.75)1000=0.0137

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Bottling cola A hattling compamy uses a fillimg maichine to fill plastic botles with cola. The bottles are supposed to contain 300milliliters (ml) . In fact, the contents vary according to a Normal distribution with mean μ=298ml and standard deviation σ=3ml

(a) What is the probability that in individual bottle contains less than 295ml? Show you work.

(b) What is the probability that the mean contents of six randomly selected bottles is less than 295ml? Show your work.

The central limit theorem is important in statistics because it allows us to use the Normal distribution to make inferences concerning the population mean

(a) if the sample size is reasonably large (for any population).

(b) if the population is normally distributed and the sample size is reasonably large.

(c) if the population is normally distributed (for any sample size).

(d) if the population is normally distributed and the population variance is known (for any sample size).

(e) if the population size is reasonably large (whether the population distribution is known or not,

Graph the population distribution. Identify the individuals, the variable, and the parameter of interest.

In the language of government statistics, you are “in the labor force” if you are available for work and either working or actively seeking work. The unemployment rate is the proportion of the labor force (not of the entire population) who are unemployed. Here are data from the Current Population Survey for the civilian population aged 25years and over in a recent year. The table entries are counts in thousands of people.

If you know that a randomly chosen person 25years of age or older is a college graduate, what is the probability that he or she is in the labor force? Show your work.

About 75%of young adult Internet users (ages 18 to 29) watch online video. Suppose that a sample survey contacts an SRS of 1000 young adult Internet users and calculates the proportion p^in this sample who watch online video.

4. If the sample size were 9000 rather than 1000 , how would this change the sampling distribution of p^?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free