In 2016 the Better Business Bureau settled 85% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.85, the same as the overall proportion of complaints settled in 2016. Use t z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(F) = 0.85 O (to 2 decimals) oz = 0.0253 O (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? probability = 0.3079 c. Suppose you select a sample of 500 complaints involving new car dealers. Show the sampling distribution of p. E(f) = (to 2 decimals) 2.13 (to 4 decimals) d. Based upon the larger sample of 500 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? probability = e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)? The probability of the sample proportion being within 0.02 of the population mean is increased by 0.203 (to 3 decimals). There is a gain in precision by increasing the sample size.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

letter d & e

In 2016 the Better Business Bureau settled 85% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the
complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business
Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.85, the same as the overall proportion of complaints settled in 2016. Use th
z-table.
a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p.
E(7) =
0.85
(to 2 decimals)
oF = 0.0253
(to 4 decimals)
b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)?
probability = 0.3079
c. Suppose you select a sample of 500 complaints involving new car dealers. Show the sampling distribution of p.
E(7) =
2.13
(to 2 decimals)
(to 4 decimals)
d. Based upon the larger sample of 500 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)?
probability =
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)?
The probability of the sample proportion being within 0.02 of the population mean is increased by
0.203
(to 3 decimals). There is a gain in precision by
increasing
the sample size.
Transcribed Image Text:In 2016 the Better Business Bureau settled 85% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.85, the same as the overall proportion of complaints settled in 2016. Use th z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(7) = 0.85 (to 2 decimals) oF = 0.0253 (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? probability = 0.3079 c. Suppose you select a sample of 500 complaints involving new car dealers. Show the sampling distribution of p. E(7) = 2.13 (to 2 decimals) (to 4 decimals) d. Based upon the larger sample of 500 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? probability = e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)? The probability of the sample proportion being within 0.02 of the population mean is increased by 0.203 (to 3 decimals). There is a gain in precision by increasing the sample size.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
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
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman