State the null and alternative hypotheses. 22. 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 State the null and alternative hypotheses. a) H,: Pivown =.3, Pyeliow = .2. Pred = .2. Porange =.1, Paiue =.1, Pgreen =.1 H:At least one of the stated proportions is not correct b) H, : Paroen = .3, pyellow = .2, Pred = .2. Poræge =.1, Polue =.1, Pgen H:All of the stated proportions are not correct =.1

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State the null and alternative hypotheses.
22. 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
State the null and alternative hypotheses.
a) H,: Pivown =.3, Pyeliow = .2. Pred = .2. Porange =.1, Paiue =.1, Pgreen =.1
H:At least one of the stated proportions is not correct
b) H, : Paroen = .3, pyellow = .2, Pred = .2. Poræge =.1, Polue =.1, Pgen
H:All of the stated proportions are not correct
=.1
Transcribed Image Text:State the null and alternative hypotheses. 22. 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 State the null and alternative hypotheses. a) H,: Pivown =.3, Pyeliow = .2. Pred = .2. Porange =.1, Paiue =.1, Pgreen =.1 H:At least one of the stated proportions is not correct b) H, : Paroen = .3, pyellow = .2, Pred = .2. Poræge =.1, Polue =.1, Pgen H:All of the stated proportions are not correct =.1
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