A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the α=0.05 level of significance. LOADING... Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: The distribution of colors is the same as stated by the manufacturer. H1: The distribution of colors is not the same as stated by the manufacturer. B. H0: The distribution of colors is not the same as stated by the manufacturer. H1: The distribution of colors is the same as stated by the manufacturer. C. None of these. Compute the expected counts for each color. Color Frequency Expected Count Brown 59 nothing Yellow 64 nothing Red 54 nothing Blue 63 nothing Orange 87 nothing Green 65 nothing (Round to two decimal places as needed.) What is the test statistic? χ20 = nothing (Round to three decimal places as needed.) What is the P-value of the test? P-value=nothing (Round to three decimal places as needed.) Based on the results, do the colors follow the same distribution as stated in the problem? A. Reject H0. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. B. Reject H0. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. C. Do not reject H0. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. D. Do not reject H0. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the α=0.05 level of significance. LOADING... Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: The distribution of colors is the same as stated by the manufacturer. H1: The distribution of colors is not the same as stated by the manufacturer. B. H0: The distribution of colors is not the same as stated by the manufacturer. H1: The distribution of colors is the same as stated by the manufacturer. C. None of these. Compute the expected counts for each color. Color Frequency Expected Count Brown 59 nothing Yellow 64 nothing Red 54 nothing Blue 63 nothing Orange 87 nothing Green 65 nothing (Round to two decimal places as needed.) What is the test statistic? χ20 = nothing (Round to three decimal places as needed.) What is the P-value of the test? P-value=nothing (Round to three decimal places as needed.) Based on the results, do the colors follow the same distribution as stated in the problem? A. Reject H0. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. B. Reject H0. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. C. Do not reject H0. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. D. Do not reject H0. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer.

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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Question

A manufacturer of colored candies states that

13%

of the candies in a bag should be brown,

14%

yellow,

13%

red,

24%

blue,

20%

orange, and

16%

green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the

α=0.05

level of significance.

Click the icon to view the table.

Determine the null and alternative hypotheses. Choose the correct answer below.

H0:

The distribution of colors is the same as stated by the manufacturer.

H1:

The distribution of colors is not the same as stated by the manufacturer.

H0:

The distribution of colors is not the same as stated by the manufacturer.

H1:

The distribution of colors is the same as stated by the manufacturer.

None of these.

Compute the expected counts for each color.

Color	Frequency	Expected Count
Brown	59	nothing
Yellow	64	nothing
Red	54	nothing
Blue	63	nothing
Orange	87	nothing
Green	65	nothing
		(Round to two decimal places as needed.)

What is the test statistic?

χ20	=	nothing
		(Round to three decimal places as needed.)

What is the P-value of the test?

P-value=nothing

(Round to three decimal places as needed.)

Based on the results, do the colors follow the same distribution as stated in the problem?

Reject H0.

There is

not sufficient

evidence that the distribution of colors is not the same as stated by the manufacturer.

Reject H0.

There is

sufficient

evidence that the distribution of colors is not the same as stated by the manufacturer.

Do not reject H0.

There is

sufficient

evidence that the distribution of colors is not the same as stated by the manufacturer.

Do not reject H0.

There is

not sufficient

evidence that the distribution of colors is not the same as stated by the manufacturer.

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