1) 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 ? = 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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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1) 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 ? = 0.1.
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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.
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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?
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c) State the hypotheses in words.
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