The test statistic is ​(Round to two decimal places as​ needed.)   2. Determine the critical value(s)  (Round to three decimal places as needed)

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1.  The test statistic is
​(Round to two decimal places as​ needed.)
 
2. Determine the critical value(s) 
(Round to three decimal places as needed)
 
 
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.
A company claims that its packages of 100 candies are distributed with the following color percentages: 15% red, 22% orange, 14% yellow, 6% brown, 26% blue, and 17% green. Use the given sample data to test the
claim that the color distribution is as claimed. Use a 0.01 significance level.
Click the icon to view the color counts for the candy in the package.
Click here to view the chi-square distribution table.
Chi-square distribution table
Candy Package Counts
The test statistic is
(Round to two decimal places as needed.)
Candy Counts
Number in Package
Area to the Right of the Critical Value
Degrees of
Freedom
Color
0.995
0.99
0.975
0.95
0.90
0.10
Red
11
1
0.001
0.004
0.016
2.706
Orange
27
2
0.010
0.020
0.051
0.103
0.211
4.605
Yellow
8
0.072
0.115
0.216
0.352
0.584
6.251
Brown
10
4
0.207
0.297
0.484
0.711
1.064
7.779
Blue
27
0.412
0.554
0.831
1.145
1.610
9.236
Green
17
6
0.676
0.872
1.237
1.635
2.204
10.645
7
0.989
1.239
1.690
2.167
2.833
12.017
1.344
1.646
2.180
2.733
3.490
13.362
Print
Done
1.735
2.088
2.700
3.325
4.168
14.684
10
2.156
2.558
3.247
3.940
4.865
15.987
Transcribed Image Text:Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A company claims that its packages of 100 candies are distributed with the following color percentages: 15% red, 22% orange, 14% yellow, 6% brown, 26% blue, and 17% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.01 significance level. Click the icon to view the color counts for the candy in the package. Click here to view the chi-square distribution table. Chi-square distribution table Candy Package Counts The test statistic is (Round to two decimal places as needed.) Candy Counts Number in Package Area to the Right of the Critical Value Degrees of Freedom Color 0.995 0.99 0.975 0.95 0.90 0.10 Red 11 1 0.001 0.004 0.016 2.706 Orange 27 2 0.010 0.020 0.051 0.103 0.211 4.605 Yellow 8 0.072 0.115 0.216 0.352 0.584 6.251 Brown 10 4 0.207 0.297 0.484 0.711 1.064 7.779 Blue 27 0.412 0.554 0.831 1.145 1.610 9.236 Green 17 6 0.676 0.872 1.237 1.635 2.204 10.645 7 0.989 1.239 1.690 2.167 2.833 12.017 1.344 1.646 2.180 2.733 3.490 13.362 Print Done 1.735 2.088 2.700 3.325 4.168 14.684 10 2.156 2.558 3.247 3.940 4.865 15.987
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