Candies slate 70 Ted, 24 70 uie fnumber each color he 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. E Click the icon to view the table. YA. H, 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 B. H, 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. OC. None of these. Compute the expected counts for each color. Color Frequency Expected Count Brown 60 Yellow 66 Red 56 Blue 62 Orange 81 Green 65 (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
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.
E Click the icon to view the table.
VA. H,: 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 B. H,: 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 C. None of these.
ITE
Compute the expected counts for each color.
Color
Frequency
Expected Count
Brown
60
Yellow
66
Red
56
Blue
62
Orange
81
Green
65
(Round to two decimal places as needed.)
Transcribed Image Text: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 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. E Click the icon to view the table. VA. H,: 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 B. H,: 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 C. None of these. ITE Compute the expected counts for each color. Color Frequency Expected Count Brown 60 Yellow 66 Red 56 Blue 62 Orange 81 Green 65 (Round to two decimal places as needed.)
- X
Observed Distribution of Colors
Colored Candies in a bag
Color
Frequency
Claimed Proportion
Brown
Yellow
Red
Blue
Orange Green
60
66
56
62
81
65
0.13
0.14
0.13
0.24
0.20
0.16
Transcribed Image Text:- X Observed Distribution of Colors Colored Candies in a bag Color Frequency Claimed Proportion Brown Yellow Red Blue Orange Green 60 66 56 62 81 65 0.13 0.14 0.13 0.24 0.20 0.16
Expert Solution
Step 1

State the hypotheses.

Null hypothesis:

Statistics homework question answer, step 1, image 1

Correct option: Option A.

 

Obtain the expected counts for each color.

 

The expected counts for each color is obtained below as follows:

 

From the information, given that

Statistics homework question answer, step 1, image 2

 

Step 2

Statistics homework question answer, step 2, image 1

 

steps

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