You may need to use the appropriate appendix table or technology to answer this question. A market research firm conducts telephone surveys with a 26% historical response rate. What is the probability that in a new sample of 600 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150 600 = 0.25? Step 1 Recall that a sampling distribution of p is a discrete probability distribution but can be approximated by a normal distribution when np ≥ 5 and n(1 − p) ≥ 5, where n is the sample size and p is the population proportion. Let p be the population proportion of people who respond to questions in telephone surveys. Here, it is given that 26% of people respond to questions in telephone surveys. Converting this percentage to a proportion gives p = . There is a sample of 600 telephone numbers, so n = .
You may need to use the appropriate appendix table or technology to answer this question. A market research firm conducts telephone surveys with a 26% historical response rate. What is the probability that in a new sample of 600 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150 600 = 0.25? Step 1 Recall that a sampling distribution of p is a discrete probability distribution but can be approximated by a normal distribution when np ≥ 5 and n(1 − p) ≥ 5, where n is the sample size and p is the population proportion. Let p be the population proportion of people who respond to questions in telephone surveys. Here, it is given that 26% of people respond to questions in telephone surveys. Converting this percentage to a proportion gives p = . There is a sample of 600 telephone numbers, so n = .
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
You may need to use the appropriate appendix table or technology to answer this question. A market research firm conducts telephone surveys with a 26% historical response rate. What is the probability that in a new sample of 600 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150 600 = 0.25? Step 1 Recall that a sampling distribution of p is a discrete probability distribution but can be approximated by a normal distribution when np ≥ 5 and n(1 − p) ≥ 5, where n is the sample size and p is the population proportion. Let p be the population proportion of people who respond to questions in telephone surveys. Here, it is given that 26% of people respond to questions in telephone surveys. Converting this percentage to a proportion gives p = . There is a sample of 600 telephone numbers, so n = .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman