Researchers want to determine whether all bags of M&M's® have the same proportion of colors regardless of the flavor of M&M's®. To test this, they sampled randomly king-size bags of each flavor and recorded their findings in the table. Part A: What are the correct degrees of freedom for this table? Part B: Calculate the expected count for the number of green peanut M&M's®. Show your work. Part C: Is there sufficient evidence that there is a difference in the proportion of colors for the different flavors of M&M's®? Provide a statistical justification for your conclusion.
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.
Researchers want to determine whether all bags of M&M's® have the same proportion of colors regardless of the flavor of M&M's®. To test this, they sampled randomly king-size bags of each flavor and recorded their findings in the table.
Part A: What are the correct degrees of freedom for this table?
Part B: Calculate the expected count for the number of green peanut M&M's®. Show your work.
Part C: Is there sufficient evidence that there is a difference in the proportion of colors for the different flavors of M&M's®? Provide a statistical justification for your conclusion.
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