A computer manufacturing company claims that only 7.3% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.05. Kelly takes a sample of 255 computers and observes that 24 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Họ: p • = : 0.073 : HA: P 0.073 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
A computer manufacturing company claims that only 7.3% of their computers are returned. Kelly thinks
that the company is misrepresenting the true proportion of computers that are returned, and that the
true proportion is higher than they claim. She wants to test this using a = 0.05. Kelly takes a sample of
255 computers and observes that 24 are returned. Assume a normal sampling distribution.
%3D
(a) What are the null and alternative hypotheses?
Ho: p
* = : 0.073 :
HA: P
0.073 :
(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)
(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)
(d) Based on the p-value, Kelly should fail to reject +
the null hypothesis.
(e) This data does not provide : sufficient evidence to conclude that the true proportion of
computers is higher than claimed.
Check
Transcribed Image Text:A computer manufacturing company claims that only 7.3% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.05. Kelly takes a sample of 255 computers and observes that 24 are returned. Assume a normal sampling distribution. %3D (a) What are the null and alternative hypotheses? Ho: p * = : 0.073 : HA: P 0.073 : (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, Kelly should fail to reject + the null hypothesis. (e) This data does not provide : sufficient evidence to conclude that the true proportion of computers is higher than claimed. Check
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax