If you were posed with the following Are there a greater pro

If you were posed with the following, \"Are there a greater proportion of blue M&Ms in a milk chocolate bag than in a peanut bag?\" of M&M\'s and \" Are the colors evenly distributed in either bag? \" Which of the following methods would be appropriate to use to answer questions above? and why?

* Difference between Proportions using Two Independent Samples

* Tests for Independence or Homogeneity

* Goodness of Fit Test

* Two-sample t-test for a difference of means

* Paired t-test for a difference of means

* Ratio of Variance using Two Independent samples

* Sign Test for Two Medians

* Mann-Whitney U Test

Solution

For \"Are there a greater proportion of blue M&Ms in a milk chocolate bag than in a peanut bag?\", Difference between Proportions using Two Independent Samples will be used. Because there are two independent samples one from each bag. and then proportion of blue M&Ms will be compared.

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For \" Are the colors evenly distributed in either bag? \" Goodness of fit test (chi sqaure test) should be used. Here we used observed frequncies of each color in bag and compared them with expected frequencies of the colors.