The US Department of Energy reported that more than 63% of homes were heated by natural gas. A random sample of 301 homes in Oregon found that 209 were heated by natural gas. Test the claim usin a 5% significance level. a. What type of test will be used in this problem? A test for a proportion b. What evidence justifies the use of this test? Check all that apply Onp> 5 and nq > 5 The sample size is larger than 30 There are two different samples being compared The population standard deviation is known The population standard deviation is not known

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
The US Department of Energy reported that more than 63%
of homes were heated by natural gas. A random sample of
301 homes in Oregon found that 209 were heated by natural
gas. Test the claim usin a 5% significance level.
a. What type of test will be used in this problem?
A test for a proportion
b. What evidence justifies the use of this test? Check all
that apply
np > 5 and ng > 5
The sample size is larger than 30
There are two different samples being
compared
The population standard deviation is known
The population standard deviation is not
known
The sample standard deviation is not known
The original population is approximately
normal
c. Enter the null hypothesis for this test.
Ho
d. Enter the alternative hypothesis for this test.
H₁: p✓
e. Is the original claim located in the null or alternative
hypothesis?
Alternative Hypothesis
f. What is the test statistic for the given statistics?
g. What is the p-value for this test?
Transcribed Image Text:The US Department of Energy reported that more than 63% of homes were heated by natural gas. A random sample of 301 homes in Oregon found that 209 were heated by natural gas. Test the claim usin a 5% significance level. a. What type of test will be used in this problem? A test for a proportion b. What evidence justifies the use of this test? Check all that apply np > 5 and ng > 5 The sample size is larger than 30 There are two different samples being compared The population standard deviation is known The population standard deviation is not known The sample standard deviation is not known The original population is approximately normal c. Enter the null hypothesis for this test. Ho d. Enter the alternative hypothesis for this test. H₁: p✓ e. Is the original claim located in the null or alternative hypothesis? Alternative Hypothesis f. What is the test statistic for the given statistics? g. What is the p-value for this test?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 23 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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