Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 61 64 54 61 87 63 0.13 0.14 0.13 0.24 0.20 0.16
Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 61 64 54 61 87 63 0.13 0.14 0.13 0.24 0.20 0.16
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:i Observed Distribution of Colors
Color
Brown Yellow
Red
Blue Orange Green
Frequency
Claimed Proportion
61
64
54
61
87
63
0.13
0.14
0.13
0.24
0.20
0.16
factu
Print
Done

Transcribed Image Text:According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and
16% green. A student randomly selected a bag of plain M&Ms. He counted the number of M&Ms of each color and obtained the results shown in
the table. Test whether plain M&Ms follow the distribution stated by the manufacturer at the a = 0.05 level of significance.
E Click the icon to view the table.
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The distribution of colors is not the same as stated by the manufacturer.
H: The distribution of colors is the same as stated by the manufacturer.
O B. Hn: The distribution of colors is at most as uniform as stated by the manufacturer.
H1: The distribution of colors is more uniform than stated by the manufacturer.
O C. Hp: The distribution of colors is at least as uniform as stated by the manufacturer.
H,: The distribution of colors is less uniform than stated by the manufacturer.
O D. Ho: The distribution of colors is the same as stated by the manufacturer.
H4: The distribution of colors is not the same as stated by the manufacturer.
Compute the expected counts for each color.
(Round to two decimal places as needed.)
Color
Frequency
Expected Count
Brown
61
Yellow
64
Red
54
Blue
61
Orange
87
Green
63
What is the test statistic?
X6 = (Round to three decimal places as needed.)
What is the P-value of the test?
P-value = (Round to three decimal places as needed.)
Based on the results, do the colors follow the same distribution as stated in the problem?
Ho. There is
evidence that the distribution of colors is
stated by the manufacturer.
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