M&Ms tries to maintain a certain percentage of each color in a bag of M&Ms because they believe that a certain mix of colors is the most pleasing to the eye. If used a bag of M&Ms purchased at your local grocery store to test their claim: H subscript O colon space p subscript brown end subscript equals 0.13 semicolon space p subscript blue end subscript equals 0.24 semicolon space p subscript green end subscript equals 0.20 semicolon space p subscript orange end subscript equals 0.16 semicolon space p subscript red end subscript equals space 0.13 semicolon space p subscript yellow end subscript equals space 0.14 H subscript A colon space NOT thin space H subscript O If the data collected produced a Test Statistic (TS) that yielded a PValue (PV) = 0.0613, and this hypothesis test used alpha = 0.05, then which of the following choices correctly describes the Decision and Conclusion you would make? A. The PV is greater than alpha, so I would Reject the Null Hypothesis and conclude that the population proportions of the different colors of M&Ms are NOT significantly different from their null-hypothesized values. B. The PV is greater than alpha, so I would Fail to Reject the Null Hypothesis and conclude that at least two of the population proportions of the different colors of M&Ms ARE significantly different from their null-hypothesized values. C. The PV is greater than alpha, so I would Fail to Reject the Null Hypothesis and conclude that the population proportions of the different colors of M&Ms are NOT significantly different from their null-hypothesized values. D. The PV is greater than alpha, so I would Reject the Null Hypothesis and conclude that the population proportions of the different colors of M&Ms are NOT significantly different from their null-hypothesized values.
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.
M&Ms tries to maintain a certain percentage of each color in a bag of M&Ms because they believe that a certain mix of colors is the most pleasing to the eye. If used a bag of M&Ms purchased at your local grocery store to test their claim:
H subscript O colon space p subscript brown end subscript equals 0.13 semicolon space p subscript blue end subscript equals 0.24 semicolon space p subscript green end subscript equals 0.20 semicolon space p subscript orange end subscript equals 0.16 semicolon space p subscript red end subscript equals space 0.13 semicolon space p subscript yellow end subscript equals space 0.14
H subscript A colon space NOT thin space H subscript O
If the data collected produced a Test Statistic (TS) that yielded a PValue (PV) = 0.0613, and this hypothesis test used alpha = 0.05, then which of the following choices correctly describes the Decision and Conclusion you would make?
A. The PV is greater than alpha, so I would Reject the Null Hypothesis and conclude that the population proportions of the different colors of M&Ms are NOT significantly different from their null-hypothesized values.
B. The PV is greater than alpha, so I would Fail to Reject the Null Hypothesis and conclude that at least two of the population proportions of the different colors of M&Ms ARE significantly different from their null-hypothesized values.
C. The PV is greater than alpha, so I would Fail to Reject the Null Hypothesis and conclude that the population proportions of the different colors of M&Ms are NOT significantly different from their null-hypothesized values.
D. The PV is greater than alpha, so I would Reject the Null Hypothesis and conclude that the population proportions of the different colors of M&Ms are NOT significantly different from their null-hypothesized values.
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