Compute the expected counts for each color. Color Brown Yellow Red Blue Orange Green Frequency 62 65 57 59 93 67 What is the test statistic? Expected Count 52.39 56.42 52.39 96.72 80.60 64.48 (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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What is the test​ statistic?

 

Observed Distribution of Colors
Color
Frequency
Claimed Proportion
Colored Candies in a bag
Brown Yellow Red
62
65
57
0.13
0.14
0.13
Blue Orange Green
59 93
0.24
0.20
67
0.16
I
Transcribed Image Text:Observed Distribution of Colors Color Frequency Claimed Proportion Colored Candies in a bag Brown Yellow Red 62 65 57 0.13 0.14 0.13 Blue Orange Green 59 93 0.24 0.20 67 0.16 I
A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly
selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the
distribution stated above at a = 0.05 level of significance. Using the level of significance x = 0.05, test whether the color distribution is the same.
Click here to view the table. Click here to view the table of critical values of the chi-square distribution.
1. The distrito Civis is more uno a Stated by the manua
Compute the expected counts for each color.
Color
Brown
Yellow
Red
Blue
Orange
Green
Frequency
62
65
57
59
93
67
What is the test statistic?
x3 = 0
Expected Count
52.39
56.42
52.39
96.72
80.60
64.48
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
Transcribed Image Text:A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance x = 0.05, test whether the color distribution is the same. Click here to view the table. Click here to view the table of critical values of the chi-square distribution. 1. The distrito Civis is more uno a Stated by the manua Compute the expected counts for each color. Color Brown Yellow Red Blue Orange Green Frequency 62 65 57 59 93 67 What is the test statistic? x3 = 0 Expected Count 52.39 56.42 52.39 96.72 80.60 64.48 (Round to two decimal places as needed.) (Round to three decimal places as needed.)
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