Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Ho: PA=0.3: PB Category A B C D 0.1: pc = 0.1; PD = 0.5 Observed Expected Frequency Frequency 34 6 8 54 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. x² = c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.05 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. O Reject the Null Hypothesis.

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
100%
Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4
categories occur with the following distribution:
Ho: PA=0.3: PB
Category
A
B
C
D
0.1: pc = 0.1; PD = 0.5
Observed Expected
Frequency Frequency
34
6
8
54
a. Complete the table for the expected frequencies.
b. What is the chi-square test statistic for this data? Round to three decimal places.
x² =
c. What is the p-value? Round to four decimal places.
p-value =
d. Testing the claim at a a = 0.05 significance level, what would be the conclusion of this
hypothesis test?
O Fail to reject the Null Hypothesis.
O Reject the Null Hypothesis.
Transcribed Image Text:Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Ho: PA=0.3: PB Category A B C D 0.1: pc = 0.1; PD = 0.5 Observed Expected Frequency Frequency 34 6 8 54 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. x² = c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.05 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. O Reject the Null Hypothesis.
Expert Solution
steps

Step by step

Solved in 8 steps with 8 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