Calculate the test statistic yand state your decision regarding the null hypothesis. 23. It has been rumored that the color distribution of M&M's is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You suspect this rumor is incorrect and decide to count how many of each color are contained in a randomly chosen bag in order to perform a Chi-Square goodness-of-fit test at a 5% significance level. Color Brown Yellow Red Orange Blue Green Total Observed 27 16 21 12 15 100 Provided the assumptions of the test are satisfied, calculate the test statistic y. a) 4.15, Reject H, b) 4.15. Fail to Reject H, c) 16.83, Reject H d) 16.83. Fail to Reject H

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
Question
100%
Calculate the test statistic yand state your decision regarding the null hypothesis.
23.
It has been rumored that the color distribution of M&M's is 30% brown, 20% yellow, 20% red, 10%
orange, 10% blue, and 10% green. You suspect this rumor is incorrect and decide to count how many
of each color are contained in a randomly chosen bag in order to perform a Chi-Square goodness-of-fit
test at a 5% significance level.
Color
Brown
Yellow
Red
Orange
Blue
Green
Total
Observed
27
16
21
12
15
100
Provided the assumptions of the test are satisfied, calculate the test statistic y.
a) 4.15, Reject H,
b) 4.15. Fail to Reject H,
c) 16.83, Reject H
d) 16.83. Fail to Reject H
Transcribed Image Text:Calculate the test statistic yand state your decision regarding the null hypothesis. 23. It has been rumored that the color distribution of M&M's is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You suspect this rumor is incorrect and decide to count how many of each color are contained in a randomly chosen bag in order to perform a Chi-Square goodness-of-fit test at a 5% significance level. Color Brown Yellow Red Orange Blue Green Total Observed 27 16 21 12 15 100 Provided the assumptions of the test are satisfied, calculate the test statistic y. a) 4.15, Reject H, b) 4.15. Fail to Reject H, c) 16.83, Reject H d) 16.83. Fail to Reject H
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