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: 12% red, 19% orange, 13% yellow, 15% brown, 23% blue, and 18% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.025 significance level.

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Calculate the test​ statistic 

Calculate the critical value 

What is the conclusion for this hypothesis​ test?
 
 
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: 12% red, 19% orange, 13% yellow, 15% brown, 23% blue, and
18% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.025 significance level.
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: 12% red, 19% orange, 13% yellow, 15% brown, 23% blue, and 18% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.025 significance level.
Area to the Right of the Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
1
0.001
0.004
0.016
2.706
2
0.010
0.020
0.051
0.103
0.211
4.605
3
0.072
0.115
0.216
0.352
0.584
6.251
4
0.207
0.297
0.484
0.711
1.064
7.779
0.412
0.554
0.831
1.145
1.610
9.236
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
8
1.344
1.646
2.180
2.733
3.490
13.362
9
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:Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 4 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 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 8 1.344 1.646 2.180 2.733 3.490 13.362 9 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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