A manufacturer of colored candies states that13% 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. ColorBrownYellowRedBlueOrangeGreen Frequency636352608565 Claimed Proportion0.130.140.130.240.200.16 Compute the expected counts for each color. Color frequency expected count brown 63 ? yellow 63 ? red 52 ? blue 60 ? orange 85 ? green 65 ?(Round to two decimal places as needed.) What is the test statistic? χ2 0=______? (Round to three decimal places as needed.) What is the P-value of the test? P-value=_____?(Round to three decimal places as needed.)

Name: A manufacturer of colored candies states that13% of the candies in a
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Description: A manufacturer of colored candies states that13% 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 c

Consider that pi’s are the proportion of the candies of brown, yellow, red, blue, orange and green…

Answered: A manufacturer of colored candies…

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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A manufacturer of colored candies states that13% 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.

Color	Brown	Yellow	Red	Blue	Orange	Green
Frequency	63	63	52	60	85	65
Claimed Proportion	0.13	0.14	0.13	0.24	0.20	0.16

Compute the expected counts for each color.

Color frequency expected count

brown 63 ?

yellow 63 ?

red 52 ?

blue 60 ?

orange 85 ?

green 65 ?

(Round to two decimal places as needed.)

What is the test statistic?

χ2 0	=	______?
		(Round to three decimal places as needed.)

What is the P-value of the test?

P-value=_____?

(Round to three decimal places as needed.)

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