close solutoin list

Myers-Briggs: Marriage Counseling Isabel Myers was a pioneer in the study of personality types. She identified four basic personality preferences that are described at length in the book Manual: A Guide to the Development and Vie of the Myers-Briggs Type Indicator, by Myers and McCaulley (Consulting Psychologists Press). Marriage counselors know that couples who have none of the four preferences in common may have a stormy marriage. Myers took a random sample of 375 married couples and found that 2 × 9 had two or more personality preferences in common. In another random sample of 571 married couples, it was found that only 23 had no preferences in common. Let p 1 be the population proportion of all married couples who have two or more personality preferences in common. Let p 2 be the population proportion of all married couples who have no personality preferences in common (a) Find a 99% confidence interval for p 1 − p 2 . (h) Interpretation Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive all negative, or both positive and negative numbers? What does this tell you (at the 99% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common ?

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
Section
Chapter 10.3, Problem 17P
Textbook Problem
229 views

Myers-Briggs: Marriage Counseling Isabel Myers was a pioneer in the study of personality types. She identified four basic personality preferences that are described at length in the book Manual: A Guide to the Development and Vie of the Myers-Briggs Type Indicator, by Myers and McCaulley (Consulting Psychologists Press). Marriage counselors know that couples who have none of the four preferences in common may have a stormy marriage. Myers took a random sample of 375 married couples and found that 2 × 9 had two or more personality preferences in common. In another random sample of 571 married couples, it was found that only 23 had no preferences in common. Let p 1 be the population proportion of all married couples who have two or more personality preferences in common. Let p 2 be the population proportion of all married couples who have no personality preferences in common (a) Find a 99% confidence interval for p 1 p 2 .

(h) Interpretation Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive all negative, or both positive and negative numbers? What does this tell you (at the 99% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common ?

Expert Solution

(a)

To determine

To find: The 99% confidence interval for p1p2.

Explanation of Solution

Calculation: Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.

Let n1=375,r1=289,n2=571,r2=23

To find the 99% confidence interval for p1p2 by using MINITAB software is as:

Step 1: Go to Stat > Basic Statistics > 2-Proportions

Expert Solution

(b)

To determine

To explain: The meaning of 99% confidence interval and whether the confidence interval contain all positive, all negative, or both positive and negative numbers.

Want to see this answer and more?

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

See solution

Chapter 10 Solutions

Understanding Basic Statistics
Show all chapter solutions
Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - Expand Your Knowledge: Confidence Intervals for d...Ch. 10.1 - Critical Region Method: Student's t Solve Problem...Ch. 10.1 - Critical Region Method: Students t Solve Problem...Ch. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Critical Thinking When conducting a lest of the...Ch. 10.2 - Critical Thinking Josh and Kendra each calculated...Ch. 10.2 - Critical Thinking If a 90% confidence interval for...Ch. 10.2 - Basic Computation: Paired Differences Test For a...Ch. 10.2 - Basic Computation: Texting 12 Two populations have...Ch. 10.2 - Basic Computation: Testing- 12 A random sample of...Ch. 10.2 - Basic Computation: Testing 12 Two populations have...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Expand Your Knowledge: Software Approximation for...Ch. 10.2 - Expand Your Knowledge: Pooled Two-Sample Procedure...Ch. 10.2 - Critical Region Method: Testing 12;1,2 Unknown...Ch. 10.2 - Critical Region Method: Testing 12;1,2Known Redo...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Critical Thinking Consider two independent...Ch. 10.3 - Critical Thinking If a 90% confidence interval for...Ch. 10.3 - Basic Computation: Testing p1p2 For one binomial...Ch. 10.3 - Basic Computation: Testing p1p2 For one binomial...Ch. 10.3 - Federal Tax Money: Art Funding Would you favor...Ch. 10.3 - Art Funding: Politics Would you favor spending...Ch. 10.3 - Sociology: Trusting People Generally speaking,...Ch. 10.3 - Political Science: Voters This problem is based on...Ch. 10.3 - Extraterrestrials: Believe It? Based on...Ch. 10.3 - Art: Polities Do you prefer paintings in which the...Ch. 10.3 - Critical region Method: Testing p1p2 Redo Problem...Ch. 10.3 - Critical Region Method: Testing p1p2 Redo Problem...Ch. 10.3 - Basic Computation: Confidence Inters al for p1p2...Ch. 10.3 - Basic Computation: Confidence Interval for p1p2...Ch. 10.3 - Myers-Briggs: Marriage Counseling Isabel Myers was...Ch. 10.3 - Myers-Briggs: Marriage Counseling Most married...Ch. 10.3 - Navajo Culture: Traditional Hogans S. C. Jett is a...Ch. 10.3 - Archaeology: Cultural Affiliation "Unknown...Ch. 10.3 - Critical Thinking: Different Confidence Levels (a)...Ch. 10.3 - Focus Problem: Wood Duck Nests In the Focus...Ch. 10 - Statistical Literacy and Terminology When are two...Ch. 10 - 2. Statistical Literacy and Terminology When are...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - Sweets May Not Be Culprit in Hyper Kids was a USA...Ch. 10 - In there a relationship between confidence...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions
A sample with a mean of M = 8 has X = 56. How many scores are in the sample?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Describe the set of points (x,y) such that x2+y2=0.

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 41-48, find the indicated limit given that limxaf(x)=3 and limxag(x)=4 47. limxa2f(x)g(x)f(x)g(x)

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

Find the numerical value of each expression. 5. (a) sech 0 (b) cosh11

Single Variable Calculus: Early Transcendentals

The solution to xdydx2y=x3 is: a) y=ex3+Cx2 b) y=ex3+x2+C c) y=x3+x2+C d) y=x3+Cx2

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

Three admission test preparation programs are being evaluated. The scores obtained by a sample of 20 people who...

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

Shifting and Stretching Exercises 1 through 13 refer to the graph in Figure 2.124. Sketch the graph of each of ...

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

Consider the boundary-value problem y″ + xy = 0, y′(0) = 1, y(l) = −1. Find the difference equation correspondi...

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