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 candiesof each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance.Click the icon to view the table.Determine the null and alternative hypotheses. Choose the correct answer below.O A. Ho: The distribution of colors is not the same as stated by the manufacturer.H,: The distribution of colors is the same as stated by the manufacturer.Observed Distribution of ColorsB. Ho: The distribution of colors is the same as stated by the manufacturer.H,: The distribution of colors is not the same as stated by the manufacturer.Colored Candies in a bagC. None of these.ColorBrownYellowRedBlueOrange GreenFrequencyClaimed Proportion606555637865Compute the expected counts for each color.0.130.140.130.240.200.16ColorFrequencyExpected CountBrown60Yellow65PrintDoneRed55Blue63Orange78Green65(Round to two decimal places as needed.)What is the test statistic?(Round to three decimal places as needed.)What is the P-value of the test?P-value =(Round to three decimal places as needed.)Based on the results, do the colors follow the same distribution as stated in the problem?

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Description: 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 candiesof each color

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each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. etermine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Ho: The distribution of colors is the same as stated by the manufacturer. H;: The distribution of colors is not the same as stated by the manufacturer. O Observed Distribution of Colors Colored Candies in a bag OC. None of these. Color Frequency Claimed Proportion Brown Yellow Red Blue Orange Gree ompute the expected counts for each color. Frequency 60 65 55 63 78 65 0.13 0.14 0.13 0.24 0.20 0.16 Color Expected Count Brown 60 Yellow 65 Print Done Red 55 Blue 63 Orange Green 78 65 (Round to two decimal places as needed.) hat is the test statistic? (Round to three decimal places as needed.)

each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. etermine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H: The distribution of colors is the same as stated by the manufacturer. O B. Ho: The distribution of colors is the same as stated by the manufacturer. H;: The distribution of colors is not the same as stated by the manufacturer. O Observed Distribution of Colors Colored Candies in a bag OC. None of these. Color Frequency Claimed Proportion Brown Yellow Red Blue Orange Gree ompute the expected counts for each color. Frequency 60 65 55 63 78 65 0.13 0.14 0.13 0.24 0.20 0.16 Color Expected Count Brown 60 Yellow 65 Print Done Red 55 Blue 63 Orange Green 78 65 (Round to two decimal places as needed.) hat is the test statistic? (Round to three decimal places as needed.)

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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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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 a = 0.05 level of significance.
Click the icon to view the table.
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The distribution of colors is not the same as stated by the manufacturer.
H,: The distribution of colors is the same as stated by the manufacturer.
Observed Distribution of Colors
B. Ho: The distribution of colors is the same as stated by the manufacturer.
H,: The distribution of colors is not the same as stated by the manufacturer.
Colored Candies in a bag
C. None of these.
Color
Brown
Yellow
Red
Blue
Orange Green
Frequency
Claimed Proportion
60
65
55
63
78
65
Compute the expected counts for each color.
0.13
0.14
0.13
0.24
0.20
0.16
Color
Frequency
Expected Count
Brown
60
Yellow
65
Print
Done
Red
55
Blue
63
Orange
78
Green
65
(Round to two decimal places as needed.)
What is the test statistic?
(Round to three decimal places as needed.)
What is the P-value of the test?
P-value =
(Round to three decimal places as needed.)
Based on the results, do the colors follow the same distribution as stated in the problem?

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