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
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
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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?
Yes,
because there is sufficient evidence to reject the null hypothesis.No,
because there is sufficient evidence to reject the null hypothesis.Yes,
because there is not sufficient evidence to reject the null hypothesis.No,
because there is not sufficient evidence to reject the null hypothesis.Expert Solution
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