A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution. Distribution: 0.2, 0.2, 0.1, 0.3, 0.2 Observed frequencies: 14, 1, 8, 15, 12 Significance level = 0.10

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
Determine the null and alternative hypotheses. Choose the correct choice below.
 
 
A.
H0​:
The distribution of the variable is the same as the given distribution.
Ha​:
The distribution of the variable differs from the given distribution.
answer is correct.
 
B.
H0​:
The distribution of the variable differs from the normal distribution.
Ha​:
The distribution of the variable is the normal distribution.
 
C.
H0​:
The distribution of the variable differs from the given distribution.
Ha​:
The distribution of the variable is the same as the given distribution.
 
D.
H0​:
The expected frequencies are all equal to 5.
Ha​:
At least one expected frequency differs from 5.
 
Compute the value of the test​ statistic,
χ2.
 
χ2=
​(Round to three decimal places as​ needed.)
 
Find the​ P-value.
 
P=
​(Round to three decimal places as​ needed.)
 
Does the data provide sufficient evidence that the distribution of the variable differs from the given​ distribution?
 
 
A.
No​,because there is not sufficient evidence to reject the null hypothesis.
 correct answer.
 
B.
No​,
because there is sufficient evidence to reject the null hypothesis.
answer is not correct.
 
C.
Yes​,
because there is not sufficient evidence to reject the null hypothesis.
 
D.
Yes​,
because there is sufficient evidence to reject the null hypothesis.
 
 
A distribution and the observed frequencies of the values of a variable from a simple random
sample of the population are provided below. Use the chi-square goodness-of-fit test to decide,
at the specified significance level, whether the distribution of the variable differs from the given
distribution.
Distribution: 0.2, 0.2, 0.1, 0.3, 0.2
Observed frequencies: 14, 1, 8, 15, 12
Significance level = 0.10
Transcribed Image Text:A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution. Distribution: 0.2, 0.2, 0.1, 0.3, 0.2 Observed frequencies: 14, 1, 8, 15, 12 Significance level = 0.10
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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