Conduct the hypothesis test and provide the test statistic, critical value and P-Value, and state the conclusion. A package of 100 candies are distributed with the following color percentages: 13% red, 20% orange, 12% yellow, 15% brown, 30% blue, and 10% green. Use the given sample data below that the color distribution is as claimed. Use a .10 significance level.
|
Row
|
Red
|
Orange
|
Yellow
|
Brown
|
Blue
|
Green
|
|
1
|
0.796
|
0.853
|
0.911
|
0.969
|
0.989
|
0.720
|
|
2
|
0.715
|
0.959
|
0.761
|
0.725
|
0.992
|
0.953
|
|
3
|
0.939
|
0.880
|
0.831
|
0.969
|
0.775
|
0.871
|
|
4
|
0.890
|
0.745
|
0.739
|
0.749
|
0.805
|
0.721
|
|
5
|
0.700
|
0.805
|
1.001
|
0.750
|
0.854
|
0.694
|
|
6
|
0.850
|
0.751
|
0.996
|
0.785
|
0.853
|
0.746
|
|
7
|
0.727
|
0.988
|
0.794
|
0.825
|
0.911
|
0.918
|
|
8
|
0.928
|
0.901
|
*
|
0.887
|
0.724
|
0.980
|
|
9
|
0.983
|
0.698
|
*
|
0.772
|
0.873
|
0.907
|
|
10
|
0.846
|
0.747
|
*
|
0.709
|
0.892
|
0.824
|
|
11
|
0.762
|
0.707
|
*
|
0.813
|
0.768
|
0.978
|
|
12
|
0.872
|
0.949
|
*
|
0.972
|
0.995
|
0.868
|
|
13
|
*
|
0.980
|
*
|
0.973
|
0.967
|
0.802
|
|
14
|
*
|
0.734
|
*
|
*
|
0.986
|
0.923
|
|
15
|
*
|
0.776
|
*
|
*
|
0.999
|
0.807
|
|
16
|
*
|
0.850
|
*
|
*
|
0.857
|
0.860
|
|
17
|
*
|
0.783
|
*
|
*
|
0.691
|
0.994
|
|
18
|
*
|
0.962
|
*
|
*
|
0.821
|
*
|
|
19
|
*
|
0.758
|
*
|
*
|
0.779
|
*
|
|
20
|
*
|
0.919
|
*
|
*
|
0.832
|
*
|
|
21
|
*
|
0.717
|
*
|
*
|
0.769
|
*
|
|
22
|
*
|
0.748
|
*
|
*
|
0.980
|
*
|
|
23
|
*
|
0.799
|
*
|
*
|
0.708
|
*
|
|
24
|
*
|
0.805
|
*
|
*
|
0.777
|
*
|
|
25
|
*
|
*
|
*
|
*
|
0.975
|
*
|
|
26
|
*
|
*
|
*
|
*
|
0.859
|
*
|
|
27
|
*
|
*
|
*
|
*
|
0.764
|
*
|