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 alpha equalsa-0.05, test whether the color distribution is the same. Color Brown Yellow Red Blue Orange Green Frequency 61 67 55 59 80 67 Proportion 13% 14% 13% 24% 20% 16% Expected Use any method but follow the PHANTOMS acronym P-Parameter Statement H-Hypotheses A-Assumptions & Conditions N- Name the Test T-Test Statistic O- Obtain the P-Value or Critical Value M-Make a Decision about the Null Hypothesis S-State Your Conclusion About the Claim

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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 alpha equalsa-0.05, test whether the color distribution is the same.
Color
Brown
Yellow
Red
Blue
Orange
Green
Frequency
61
67
55
59
80
67
Proportion
13%
14%
13%
24%
20%
16%
Expected
Use any method but follow the PHANTOMS acronym
P-Parameter Statement
H-Hypotheses
A-Assumptions & Conditions
N-Name the Test
T-Test Statistic
O- Obtain the P-Value or Critical Value
M-Make a Decision about the Null Hypothesis
S- State Your Conclusion About the Claim
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 alpha equalsa-0.05, test whether the color distribution is the same. Color Brown Yellow Red Blue Orange Green Frequency 61 67 55 59 80 67 Proportion 13% 14% 13% 24% 20% 16% Expected Use any method but follow the PHANTOMS acronym P-Parameter Statement H-Hypotheses A-Assumptions & Conditions N-Name the Test T-Test Statistic O- Obtain the P-Value or Critical Value M-Make a Decision about the Null Hypothesis S- State Your Conclusion About the Claim
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