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, 21% orange, 12% yellow, 12% brown, 26% blue, and 15% green. Use the given sample data to test the claim that distribution is as claimed. Use a 0.10 significance level. E 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 The test statistic is. (Round to two decimal places as needed.) Area to the Right of Degrees of Freedom 0. 0.0 0.995 0.99 0.975 0.95 The critical value is (Round to three decimal places as needed.) 0.001 0.004 2 0.010 0.020 0.051 0.103 0.2 State the conclusion. 3. 0.072 0.115 0.216 0.352 0.5 4 0.207 0.297 0.484 0.711 1.0 V Ho. There sufficient evidence to warrant rejection of the claim that the color distribution is as claimed. 5 0.412 0.554 0.831 1.145 1.6 6. 0.676 0.872 1.237 1.635 2.2 7. 0.989 1.239 1.690 2.167 2.8 Candy package counts 8. 1.344 1.646 2.180 2.733 3.4 9. 1.735 2.088 2.700 3.325 3.940 4.1 10 2.156 2.558 3.247 4.8 Candy Counts
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, 21% orange, 12% yellow, 12% brown, 26% blue, and 15% green. Use the given sample data to test the claim that distribution is as claimed. Use a 0.10 significance level. E 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 The test statistic is. (Round to two decimal places as needed.) Area to the Right of Degrees of Freedom 0. 0.0 0.995 0.99 0.975 0.95 The critical value is (Round to three decimal places as needed.) 0.001 0.004 2 0.010 0.020 0.051 0.103 0.2 State the conclusion. 3. 0.072 0.115 0.216 0.352 0.5 4 0.207 0.297 0.484 0.711 1.0 V Ho. There sufficient evidence to warrant rejection of the claim that the color distribution is as claimed. 5 0.412 0.554 0.831 1.145 1.6 6. 0.676 0.872 1.237 1.635 2.2 7. 0.989 1.239 1.690 2.167 2.8 Candy package counts 8. 1.344 1.646 2.180 2.733 3.4 9. 1.735 2.088 2.700 3.325 3.940 4.1 10 2.156 2.558 3.247 4.8 Candy Counts
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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: 14% red, 21% orange, 12% yellow, 12% brown, 26% blue, and 15% green. Use the given sample data to test the claim that the color
distribution is as claimed. Use a 0.10 significance level.
E 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
.....
The test statistic is
Area to the Right of the Critical Value
(Round to two decimal places as needed.)
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
The critical value is.
(Round to three decimal places as needed.)
1
0.001
0.004
0.016
2.706
2
0.010
0.020
0.051
0.103
0.211
4.605
State the conclusion.
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
V
Ho. There
V sufficient evidence to warrant rejection of the claim that the color distribution is as claimed.
0.412
0.554
0.831
1.145
1.610
9.236
6
0.676
0.872
1.237
1.635
2.204
10.645
0.989
1.239
1.690
2.167
2.833
12.017
Candy package counts
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
Candy Counts
Number in Package D
Color
Red
14
Orange
25
Print
Done
Yellow
9
Brown
Blue
27
Green
18
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