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 the a = 0.05 level of significance. 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. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. Observed Distribution of Colors O C. None of these. ITI Compute the expected counts for each color. Colored Candies in a bag Color Frequency Expected Count Color Brown Yellow Red Blue Orange Green Brown 63 Frequency Claimed Proportion 63 67 57 60 90 65 Yellow 67 0.13 0.14 0.13 0.24 0.20 0.16 Red 57 Blue 60 Print Done Orange 90 Green 65 (Round to two decimal places as needed.) What is the test statistic? %3D (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?

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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 the a = 0.05 level of significance.
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. Ho: The distribution of colors is the same as stated by the manufacturer.
H,: The distribution of colors is not the same as stated by the manufacturer.
Observed Distribution of Colors
O C. None of these.
ITI
Compute the expected counts for each color.
Colored Candies in a bag
Color
Frequency
Expected Count
Color
Brown
Yellow
Red
Blue
Orange Green
Brown
63
Frequency
Claimed Proportion
63
67
57
60
90
65
Yellow
67
0.13
0.14
0.13
0.24
0.20
0.16
Red
57
Blue
60
Print
Done
Orange
90
Green
65
(Round to two decimal places as needed.)
What is the test statistic?
%3D
(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?
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 the a = 0.05 level of significance. 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. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. Observed Distribution of Colors O C. None of these. ITI Compute the expected counts for each color. Colored Candies in a bag Color Frequency Expected Count Color Brown Yellow Red Blue Orange Green Brown 63 Frequency Claimed Proportion 63 67 57 60 90 65 Yellow 67 0.13 0.14 0.13 0.24 0.20 0.16 Red 57 Blue 60 Print Done Orange 90 Green 65 (Round to two decimal places as needed.) What is the test statistic? %3D (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?
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