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:   14​% ​red,   20​% ​orange,   16​% ​yellow,   6​% ​brown,   26​% ​blue, and   18​% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a   0.01 significance level.

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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:

 

14​% ​red,

 

20​% ​orange,

 

16​% ​yellow,

 

6​% ​brown,

 

26​% ​blue, and

 

18​% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a

 

0.01 significance level.

 

What is the test statistic?

What is the p-value?

 

 

 

 

 
Candy Counts
Color
Number in Package
 
Red
13
 
Orange
25
 
Yellow
9
 
Brown
7
 
Blue
27
 
Green
19
 

 

Chi-square:
Degrees of Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
1
​-
​-
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348
11.345
12.838
4
0.207
0.297
0.484
0.711
1.064
7.779
9.488
11.143
13.277
14.860
5
0.412
0.554
0.831
1.145
1.610
9.236
11.071
12.833
15.086
16.750
6
0.676
0.872
1.237
1.635
2.204
10.645
12.592
14.449
16.812
18.548
7
0.989
1.239
1.690
2.167
2.833
12.017
14.067
16.013
18.475
20.278
8
1.344
1.646
2.180
2.733
3.490
13.362
15.507
17.535
20.090
21.955
9
1.735
2.088
2.700
3.325
4.168
14.684
16.919
19.023
21.666
23.589
10
2.156
2.558
3.247
3.940
4.865
15.987
18.307
20.483
23.209
25.188
 


 

 

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