Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q. 1.4 (page 437)

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^?

Short Answer

Expert verified

The sampling distribution of p^is 0.0046if the sample size were 9000rather than1000.

Step by step solution

01

Given Information

Population proportion(p)=75%=0.75

Sample size(n)=9000

02

Explanation

Based on the sample size 9000, the mean and standard deviation can be calculated as follows:

localid="1650022248275" μp^=p=0.75σp^=p(1−p)n=0.75(1−0.75)9000=0.0046

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.

Start your free trial

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

A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the mean amount poured into the bottles is 16.05ounces with a standard deviation of 0.1ounces. Assume that the machine is working properly. If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95%of the observations should occur in which interval?

(a) 16.05to 16.15ounces

(b) 0.30to 0.30ounces

(c) 15.95to16.15 ounces

(d) 15.90to 16.20ounces

(e) None of the above

What does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks mote and more Normal." ls the student right? Explain your answer.

Suppose we select an SRS of size n=100from a large population having proportion p of successes. Let p∧ be the proportion of successes in the sample. For which value of p would it be safe to use the Normal approximation to the sampling distribution of p∧?

(a) 0.01

(b) 111

(c) 0.85

(d) 0.975

(e)0.999

Here is a dot plot of the adult literacy rates in 177countries in 2008, according to the United Nations. For example, the lowest literacy rate was 23.6%, in the African country of Burkina Faso. Use the dot plot below to answer Questions

Based on the shape of this distribution, what numerical measures would best describe it?

(a) The five-number summary

(b) The mean and standard deviation

(c) The mean and the quartiles

(d) The median and the standard deviation

(e) It is not possible to determine which numerical values to use.

About 75% of young adult lnternet users (Ages18-29)watch online viden. Suppose that a sample survey contacts an SRS of 1000young adult Internet users and calculates the proportion of P⏞in this sample who watch online video.

What is the mean of sampling distribution of P⏞explain
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation
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