Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M's, red another 20%, and orange, blue, and green 10% each. The rest are brown. C his way home from work the day he was writing these exercises, one of the authors bought a bag of M&M's. He got 30 yellow, 22 red, 11 orange, 13 blue, 7 green, 20 brown. Is this sample consistent with the company's stated proportions? Test an appropriate hypothesis and state your conclusion. Complete parts a through g below. a) If the M&M's are packaged in the stated proportions, how many of each color should the author have been expected to get in his bag? 20.6 Yellow, 20.6 Red, 10.3 Orange, 10.3 Blue, 10.3 Green, and 30.9 Brown (Type integers or decimals rounded to one decimal place as needed.) b) To see if the bag was unusual, should the test be for goodness-of-fit, homogeneity, or independence? Homogeneity Independence Goodness-of-fit c) State the hypotheses. Ho: The distribution of colors of the candies is specified by the company. HA: The distribution of colors of the candies is different than specified by the company. d) Check the conditions. Select all assumptions and conditions below that are satisfied by the data. A. Counted data condition B. Independence assumption c. Expected cell frequency condition D. Randomization condition H as e) How many degrees of freedom are there? There are 5 degrees of freedom. (Simplify your answer.) f) Find x² and the P-value. x² = (Round to two decimal places as needed.)
Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M's, red another 20%, and orange, blue, and green 10% each. The rest are brown. C his way home from work the day he was writing these exercises, one of the authors bought a bag of M&M's. He got 30 yellow, 22 red, 11 orange, 13 blue, 7 green, 20 brown. Is this sample consistent with the company's stated proportions? Test an appropriate hypothesis and state your conclusion. Complete parts a through g below. a) If the M&M's are packaged in the stated proportions, how many of each color should the author have been expected to get in his bag? 20.6 Yellow, 20.6 Red, 10.3 Orange, 10.3 Blue, 10.3 Green, and 30.9 Brown (Type integers or decimals rounded to one decimal place as needed.) b) To see if the bag was unusual, should the test be for goodness-of-fit, homogeneity, or independence? Homogeneity Independence Goodness-of-fit c) State the hypotheses. Ho: The distribution of colors of the candies is specified by the company. HA: The distribution of colors of the candies is different than specified by the company. d) Check the conditions. Select all assumptions and conditions below that are satisfied by the data. A. Counted data condition B. Independence assumption c. Expected cell frequency condition D. Randomization condition H as e) How many degrees of freedom are there? There are 5 degrees of freedom. (Simplify your answer.) f) Find x² and the P-value. x² = (Round to two decimal places as needed.)
Transcribed Image Text:Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M's, red another 20%, and orange, blue, and green 10% each. The rest are brown. O
his way home from work the day he was writing these exercises, one of the authors bought a bag of M&M's. He got 30 yellow, 22 red, 11 orange, 13 blue, 7 green, 20 brown. Is
this sample consistent with the company's stated proportions? Test an appropriate hypothesis and state your conclusion. Complete parts a through g below.
a) If the M&M's are packaged in the stated proportions, how many of each color should the author have been expected to get in his bag?
20.6 Yellow, 20.6 Red, 10.3 Orange, 10.3 Blue, 10.3 Green, and 30.9 Brown
(Type integers or decimals rounded to one decimal place as needed.)
b) To see if the bag was unusual, should the test be for goodness-of-fit, homogeneity, or independence?
Homogeneity
Independence
Goodness-of-fit
B
c) State the hypotheses.
Ho: The distribution of colors of the candies is
specified by the company.
HA: The distribution of colors of the candies is different than specified by the company.
d) Check the conditions. Select all assumptions and conditions below that are satisfied by the data.
A. Counted data condition
B. Independence assumption
C. Expected cell frequency condition
D. Randomization condition
e) How many degrees of freedom are there?
There are 5 degrees of freedom. (Simplify your answer.)
f) Find x and the P-value.
x² =
H
as
(Round to two decimal places as needed.)
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