Cound to three decimal places as needed.) o the data provide sufficient evidence to conclude that the color distribution differs from the reported distribution OA. Yes, because there is sufficient evidence to reject the null hypothesis. OB. No, because there is not sufficient evidence to reject the null hypothesis. OC. No, because there is sufficient evidence to reject the null hypothesis. OD. Yes, because there is not sufficient evidence to reject the null hypothesis.

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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The critical value is
(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 sufficient evidence to reject the null hypothesis.
B. No, because there is not sufficient evidence to reject the null hypothesis.
C. No, because there is sufficient evidence to reject the null hypothesis.
D. Yes, because there is not sufficient evidence to reject the null hypothesis.
Transcribed Image Text:The critical value is (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 sufficient evidence to reject the null hypothesis. B. No, because there is not sufficient evidence to reject the null hypothesis. C. No, because there is sufficient evidence to reject the null hypothesis. D. Yes, 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 α = 0.05.
Color
Percentage
Frequency
Green
15
20
Determine the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: The color distribution is different from that reported.
Ha: The color distribution is the same as that reported.
B. Ho: The frequency is the same for each color.
Ha: The frequency is different for each color.
OC. Ho: The frequency is different for each color.
Ha: The frequency is the same for each color.
O D. Ho: The color distribution is the same as that reported.
Ha: The color distribution is different from that reported.
Compute the value of the test statistic, x².
x² =
(Round to three decimal places as needed.)
Identify the critical value.
Orange
21
24
The critical value is
(Round to three decimal places as needed.)
Yellow
14
5
Blue
24
25
Red
14
16
Brown
12
5
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 α = 0.05. Color Percentage Frequency Green 15 20 Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: The color distribution is different from that reported. Ha: The color distribution is the same as that reported. B. Ho: The frequency is the same for each color. Ha: The frequency is different for each color. OC. Ho: The frequency is different for each color. Ha: The frequency is the same for each color. O D. Ho: The color distribution is the same as that reported. Ha: The color distribution is different from that reported. Compute the value of the test statistic, x². x² = (Round to three decimal places as needed.) Identify the critical value. Orange 21 24 The critical value is (Round to three decimal places as needed.) Yellow 14 5 Blue 24 25 Red 14 16 Brown 12 5
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