For Problems 7-21. please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Check Requirements What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. Compute the value of the sample test statistic and corresponding z value. (c) Find the p value of the lest statistic. Sketch the sampling distribution and show the area corresponding to the p- value. (d) Based on your answers in parts (a) to (c). will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α ? (e) Interpret your conclusion in the context of the application. Sociology: Crime Rate Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70 % of all arrests are of males aged 15 to 34 years (Source: True Odds by J. Walsh, Merritt Publishing). Suppose you are a sociologist in Rock Springs. Wyoming, and a random sample of police files showed that of 32 arrests last month. 24 were of males aged 15 to 34 years. Use a 1 % level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70 % .

BuyFind

Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
Publisher: Cengage Learning
ISBN: 9781337558075
BuyFind

Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
Publisher: Cengage Learning
ISBN: 9781337558075

Solutions

Chapter 9.3, Problem 9P
Textbook Problem

For Problems 7-21. please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Check Requirements What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. Compute the value of the sample test statistic and corresponding z value.

(c) Find the p value of the lest statistic. Sketch the sampling distribution and show the area corresponding to the p- value.

(d) Based on your answers in parts (a) to (c). will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α ?

(e) Interpret your conclusion in the context of the application.

Sociology: Crime Rate Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70 % of all arrests are of males aged 15 to 34 years (Source: True Odds by J. Walsh, Merritt Publishing). Suppose you are a sociologist in Rock Springs. Wyoming, and a random sample of police files showed that of 32 arrests last month. 24 were of males aged 15 to 34 years. Use a 1 % level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70 % .

Expert Solution

Want to see the full answer?

Check out a sample textbook solution.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Chapter 9 Solutions

Understanding Basic Statistics
Ch. 9.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 9.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 9.1 - Basic Computation: Find Test Statistic....Ch. 9.1 - Basic Computation: Find the Test Statistic....Ch. 9.1 - Veterinary Science: Colts The body weight of a...Ch. 9.1 - Marketing: Shopping Time How much customers buy is...Ch. 9.1 - Meteorology: StormsWeatherwise magazine is...Ch. 9.1 - Ford Mustang: Acceleration Motor Trend stated that...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.2 - Statistical Literacy For the same sample data and...Ch. 9.2 - Statistical Literacy To test for an x...Ch. 9.2 - Statistical Literacy When using the Students t...Ch. 9.2 - Critical Thinking Consider a test for . If the...Ch. 9.2 - Critical Thinking Consider a test for .If the...Ch. 9.2 - Critical Thinking If sample data is such that for...Ch. 9.2 - Basic Computation: P-value Corresponding to t...Ch. 9.2 - Basic Computation: P-value Corresponding to t...Ch. 9.2 - Basic Computation: Testing , Unknown A random...Ch. 9.2 - Basic Computation: Testing , Unknown A random...Ch. 9.2 - (c) Find (or estimate) the P-value. Sketch the...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Critical Thinking: One-Tailed versus Two-Tailed...Ch. 9.2 - Expand Your Knowledge: Two Confidence Intervals...Ch. 9.2 - Expand Your Knowledge: Confidence Intervals and...Ch. 9.2 - Confidence Intervals and Two-tailed hypothesis...Ch. 9.2 - Critical Region Method: Standard Normal Solve...Ch. 9.2 - Critical Region Method: students t Table 4 of the...Ch. 9.2 - Critical Region Method: Student'st Solve Problem...Ch. 9.2 - Critical Region Method: Student'st Solve Problem...Ch. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Critical Thinking In general, if sample data are...Ch. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Basic Computation: Testingp A random sample of 30...Ch. 9.3 - Basic Computation: Testingp A random sample of 60...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9 - Terminology Answer each of the following...Ch. 9 - Terminology Answer each of the following...Ch. 9 - Statistical Literacy When testing how do we...Ch. 9 - Statistical Literacy What do we mean when we say a...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - "With Sampling. There Is Too a Free Lunch"This is...Ch. 9 - Review and discuss type I and type II errors...Ch. 9 - Review and discuss type I and type II errors...Ch. 9 - The following statements are very important. Give...Ch. 9 - In the text, it is said that a statistical test is...Ch. 9 - As access to computers becomes more and more...Ch. 9 - Statistical Literacy What are the values of the...Ch. 9 - Statistical Literacy According to the empirical...Ch. 9 - Statistical Literacy Please give a careful but...Ch. 9 - 4. Normal Distribution Oxygen demand is a term...Ch. 9 - Normal Approximation to the Binomial the majority...Ch. 9 - 6. Sampling Distribution Workers at a large toxic...Ch. 9 - Sampling Distribution p Do you have a great deal...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Describe the scores in a sample that has standard deviation of zero.

Statistics for The Behavioral Sciences (MindTap Course List)

Evaluate the expression sin Exercises 116. (42)2

Finite Mathematics and Applied Calculus (MindTap Course List)

Find the value of c such that the point (4, 2) lies on the graph of f(x) = cx2 + 3x 4.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Determine whether the series converges or diverges. 29. n=11n!

Single Variable Calculus: Early Transcendentals

True or False: f(x) is symmetric about the origin if f(x) =f(x).

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Explain the purpose of a research proposal and how it differs from a research report.

Research Methods for the Behavioral Sciences (MindTap Course List)

18. An investor wants to select one of seven mutual funds for the coming year. Data showing the percentage annu...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Endpoint Minimum Find the minimum value of f(x)=200x3 on the horizontal span of 0 to 5.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Problems 114 find the general solution of the given second-order differential equation. 5. y 10y + 25y = 0

A First Course in Differential Equations with Modeling Applications (MindTap Course List)