If you were posed with the following, \"Are there a greater proportion of blue M

Question

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

Explanation / Answer

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.

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