(a) A plant claims that that only 2% of the electrical components that it produces are defective. To investigate this claim, 600 randomly selected components were tested. It was observed that 15 components were defective. Does this provide compelling evidence, at the 10% significance level, that the company is making false claims about its defective rate? Justify your choice of the test statistic used in your answer.

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
Topic Video
Question

Kindly help.

Question
(a) A plant claims that that only 2% of the electrical components that it produces are defective.
To investigate this claim, 600 randomly selected components were tested. It was observed
that 15 components were defective. Does this provide compelling evidence, at the 10%
significance level, that the company is making false claims about its defective rate? Justify
your choice of the test statistic used in your answer.
(b) A beverage company surveyed 150 customers and found that 53 of them preferred orange
juice to apple juice.
(i) Obtain a 99% confidence interval for p, the true proportion of the population who
prefers orange juice. Leave your answer in 4 decimal places.
(ii) Another survey was conducted on 400 different customers. The (1 – a)% confidence
limits for the proportion preferring apple juice, based on this sample, are 0.7689 and
0.8461, respectively. Determine the value of a.
Transcribed Image Text:Question (a) A plant claims that that only 2% of the electrical components that it produces are defective. To investigate this claim, 600 randomly selected components were tested. It was observed that 15 components were defective. Does this provide compelling evidence, at the 10% significance level, that the company is making false claims about its defective rate? Justify your choice of the test statistic used in your answer. (b) A beverage company surveyed 150 customers and found that 53 of them preferred orange juice to apple juice. (i) Obtain a 99% confidence interval for p, the true proportion of the population who prefers orange juice. Leave your answer in 4 decimal places. (ii) Another survey was conducted on 400 different customers. The (1 – a)% confidence limits for the proportion preferring apple juice, based on this sample, are 0.7689 and 0.8461, respectively. Determine the value of a.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Research Design Formulation
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