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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 Percentage Frequency Green 17 21 Orange 19 23 Yellow 13 8 Blue 25 30 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. OB. Ho: The color distribution is different from that reported. Ha: The color distribution is the same as that reported. OC. Ho: The frequency is the same for each color. H₂: The frequency is different for each color. O D. Ho: The frequency is different for each color. H₂: The frequency is the same for each color. Compute the value of the test statistic, x². x² Red 13 12 Brown 13 6

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 Percentage Frequency Green 17 21 Orange 19 23 Yellow 13 8 Blue 25 30 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. OB. Ho: The color distribution is different from that reported. Ha: The color distribution is the same as that reported. OC. Ho: The frequency is the same for each color. H₂: The frequency is different for each color. O D. Ho: The frequency is different for each color. H₂: The frequency is the same for each color. Compute the value of the test statistic, x². x² Red 13 12 Brown 13 6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
Find the​ P-value.
 
P=
​(Round to three decimal places as​ needed.)
 
Do the data provide sufficient evidence to conclude that the color distribution differs from the reported​ distribution?
 
 
A.
Yes​,
because there is not sufficient evidence to reject the null hypothesis.
 
B.
Yes​,
because there is sufficient evidence to reject the null hypothesis.
 
C.
No​,
because there is 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 Percentage Frequency Green 17 21 Orange 19 23 Yellow 13 8 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 B. Ho: The color distribution is different from that reported. H₂: The color distribution is the same as that reported. OC. Ho: The frequency is the same for each color. Ha: The frequency is different for each color. Blue 25 30 O D. Ho: The frequency is different for each color. H₂: The frequency is the same for each color. Compute the value of the test statistic, ². x²=0 Red 13 12 Brown 13 6
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 Percentage Frequency Green 17 21 Orange 19 23 Yellow 13 8 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 B. Ho: The color distribution is different from that reported. H₂: The color distribution is the same as that reported. OC. Ho: The frequency is the same for each color. Ha: The frequency is different for each color. Blue 25 30 O D. Ho: The frequency is different for each color. H₂: The frequency is the same for each color. Compute the value of the test statistic, ². x²=0 Red 13 12 Brown 13 6
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