/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 60 Use the following information to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 60 (page 599)

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.

Find the p-value.

Short Answer

Expert verified

The required value of p^is0.01733

Step by step solution

01

Given information

According to the most recent census, 3% of the population of the United States identified as being of two or more races. However, the percentage varies greatly between states. Assume you perform two random surveys. Only nine respondents claimed being of two or more races in the initial random survey of 1,000 North Dakotans. In the second random survey, 17 persons out of 500 Nevadans claimed to be of two or more races. Conduct a hypothesis test to see if the population percentages in the two states are equal or if Nevada's percentage is statistically higher than North Dakota's.

02

Step 2: Find the p-value.

The output from Exercise 10.59 is shown below,

The p-value is p^=0.01733

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 91影视!

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

Draw the graph of p-value

In two to three complete sentences, explain in detail how you might use Terri Vogel鈥檚 data to answer the following

question. 鈥淒oes Terri Vogel drive faster in races than she does in practices?鈥�

It is believed that the average grade on an English essay in a particular school system for females is higher than for males. A random sample of 31females had a mean score of 82with a standard deviation of three, and a random sample of 25males had a mean score ofrole="math" localid="1650387947130" 76 with a standard deviation of four.

Use the following information to answer the next three exercises: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions.

Are standard deviations known or unknown?

Use the following informotion to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was \(47.6\) years for whites born in 1900 and \(33.0\) years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was \(45.3\) years with a standard deviation of \(12.7\) years. Of the 82 nonwhites, the mean life span was \(34.1\) years with a standard deviation of \(15.6\) years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Which distribution (normal or Student's t) would you use for this hypothesis test?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.