The Mars company says that before the introduction of purple M&Ms, 20% of the candies were yellow, 20% were red, 10% were orange, 10% were blue, 10% were green, and the rest were brown. You buy a bag of M&Ms and count 29 yellow, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Use a significance level of a = 0.1. a) If the M&Ms are packaged in the stated distribution, how many of each color should you expect to get? Remember, do not round expected values to a whole number. b) Notice that this situation involves only one categorical variable in which we have one list of observed values and one list of expected values. To test if your bag was unusual, which test should you run? c) State the hypotheses in words. ( d) Use your calculator to perform the appropriate hypothesis test and report the test statistic, p- value. and degrees of freedom. Be sure to write out what you entered in your calculator. e) Write a full conclusion for this test in the context of the problem.

Question
The Mars company says that before the introduction of purple M&Ms, 20% of the candies were
yellow, 20% were red, 10% were orange, 10% were blue, 10% were green, and the rest were
brown. You buy a bag of M&Ms and count 29 yellow, 23 red, 12 orange, 14 blue, 8 green, and 20
brown. Use a significance level of a = 0.1.
a) If the M&Ms are packaged in the stated distribution, how many of each color should you expect
to get? Remember, do not round expected values to a whole number.
b) Notice that this situation involves only one categorical variable in which we have one list of
observed values and one list of expected values. To test if your bag was unusual, which test
should you run?
c) State the hypotheses in words. (
d) Use your calculator to perform the appropriate hypothesis test and report the test statistic, p-
value. and degrees of freedom. Be sure to write out what you entered in your calculator.
e) Write a full conclusion for this test in the context of the problem.
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Transcribed Image Text

The Mars company says that before the introduction of purple M&Ms, 20% of the candies were yellow, 20% were red, 10% were orange, 10% were blue, 10% were green, and the rest were brown. You buy a bag of M&Ms and count 29 yellow, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Use a significance level of a = 0.1. a) If the M&Ms are packaged in the stated distribution, how many of each color should you expect to get? Remember, do not round expected values to a whole number. b) Notice that this situation involves only one categorical variable in which we have one list of observed values and one list of expected values. To test if your bag was unusual, which test should you run? c) State the hypotheses in words. ( d) Use your calculator to perform the appropriate hypothesis test and report the test statistic, p- value. and degrees of freedom. Be sure to write out what you entered in your calculator. e) Write a full conclusion for this test in the context of the problem.