A certain type of candy is reported to be distributed with the color percentages shown in the table below. The number of each color in a random bag of candy is also shown below. Use the chi-square goodness-of-fit test to decide whether the color distribution differs from the reported distribution. Use α = 0.05. Color Percentage Frequency 20 Green 15 Orange 21 25 Yellow 13 8 B. Ho: The frequency is different for each color. Ha: The frequency is the same for each color. Blue 25 28 Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The color distribution is the same as that reported. Ha: The color distribution is different from that reported. OC. Ho: The frequency is the same for each color. H₂: The frequency is different for each color. Red 14 16 O D. Ho: The color distribution is different from that reported. H₂: The color distribution is the same as that reported. Compute the value of the test statistic, x². Brown 12 7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Question
Find the​ P-value.
 
P=enter your response here
​(Round to three decimal places as​ needed.)
Part 4
Do the data provide sufficient evidence to conclude that the color distribution differs from the reported​ distribution?
 
 
A.
Yes​,
because there is sufficient evidence to reject the null hypothesis.
 
B.
No​,
because there is sufficient evidence to reject the null hypothesis.
 
C.
Yes​,
because there is not sufficient evidence to reject the null hypothesis.
 
D.
No​,
because there is not sufficient evidence to reject the null hypothesis.
 
 
A certain type of candy is reported to be distributed with the color percentages shown in the
table below. The number of each color in a random bag of candy is also shown below. Use
the chi-square goodness-of-fit test to decide whether the color distribution differs from the
reported distribution. Use a = 0.05.
Color
Green
Percentage 15
Frequency 20
Orange
21
25
Yellow
13
8
OB. Ho: The frequency is different for each color.
H₂: The frequency is the same for each color.
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The color distribution is the same as that reported.
H₂: The color distribution is different from that reported.
O C. Ho: The frequency is the same for each color.
Ha: The frequency is different for each color.
Blue
25
28
O D. Ho: The color distribution is different from that reported.
H₂: The color distribution is the same as that reported.
Compute the value of the test statistic, ².
x2²=0
(Round to three decimal places as needed.)
Red
14
16
Brown
12
7
Transcribed Image Text:A certain type of candy is reported to be distributed with the color percentages shown in the table below. The number of each color in a random bag of candy is also shown below. Use the chi-square goodness-of-fit test to decide whether the color distribution differs from the reported distribution. Use a = 0.05. Color Green Percentage 15 Frequency 20 Orange 21 25 Yellow 13 8 OB. Ho: The frequency is different for each color. H₂: The frequency is the same for each color. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The color distribution is the same as that reported. H₂: The color distribution is different from that reported. O C. Ho: The frequency is the same for each color. Ha: The frequency is different for each color. Blue 25 28 O D. Ho: The color distribution is different from that reported. H₂: The color distribution is the same as that reported. Compute the value of the test statistic, ². x2²=0 (Round to three decimal places as needed.) Red 14 16 Brown 12 7
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