Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q. 2 (page 454)

Unemployment Each month, the Current Population Survey interviews about 60,000 randomly selected U.S. adults. One of their goals is to estimate the national unemployment rate. In October 2016,4.9% of those interviewed were unemployed.

Short Answer

Expert verified

The population, parameter and statistics respectively are,

  • 60,000adults in the United States were chosen at random.
  • p=sample proportion of unemployed adults in the United States=4.9%=0.049
  • p=the population proportion of unemployed adults in the United States

Step by step solution

01

Given information

We need to find out the population, parameter, sample, and statistics.

02

Explanation

We know that

  • The 4.9percent is based on the 60,000U.S. adults in the sample, therefore 4.9percent indicates the sample proportion of unemployed U.S. adults, implying that 4.9percent is a statistic.
  • The population proportion of unemployed adults in the United States is the corresponding parameter.
  • p=sample proportion of unemployed adults in the United States=4.9%=0.049
  • p=the population proportion of unemployed adults in the United States

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 study of rush-hour traffic in San Francisco counts the number of people in each car entering a freeway at a suburban interchange. Suppose that this count has mean 1.6 and standard deviation 0.75 in the population of all cars that enter at this interchange during rush hour.

a. Without doing any calculations, explain which event is more likely:

  • randomly selecting 1 car entering this interchange during rush hour and finding 2 or more people in the car
  • randomly selecting 35 cars entering this interchange during rush hour and finding an average of 2 or more people in the cars

b. Explain why you cannot use a Normal distribution to calculate the probability of the first event in part (a).

c. Calculate the probability of the second event in part (a).

Here are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram.

Which statistic would provide the best estimate of the parameter? Justify your answer

Records from a dairy farm yielded the following information on the number of male and female calves born at various times of the day.

What is the probability that a randomly selected calf was born in the night or was a female?

a. 369513

b. 485513

C. 116513

d.116252

e 116233

At a particular college, 78%of all students are receiving some kind of financial aid. The school newspaper selects a random sample of 100students and 72%of the respondents say they are receiving some sort of financial aid. Which of the following is true?

  1. 78%is a population and 72%is a sample.
  2. 72%is a population and 78%is a sample.
  3. 78%is a parameter and 72%is a statistic.
  4. 72%is a parameter and 78%is a statistic.
  5. 72%is a parameter and 100is a statistic.

Finch beaks One dimension of bird beaks is "depth"-the height of the beak where it arises from the bird's head. During a research study on one island in the Galapagos archipelago, the beak depth of all Medium Ground Finches on the island was found to be Normally distributed with mean μ=9.5 millimeters(mm)and standard deviation σ=1.0mm.

a. Choose an SRS of 5 Medium Ground Finches from this population. Describe the sampling distribution of x¯.

b. Find the probability that x¯estimates μwithin ±0.5mm. (This is the probability that x¯takes a value between 9 and 10 mm.

c. Choose an SRS of 50 Medium Ground Finches from this population. Now what is the probability that x¯falls within ±0.05mmof μ? In what sense is the larger sample "better"?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

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