Problem: M&M/Mars, the makers of Skittle candies, states the flavor blend is 20% for each flavor. The table below shows the number of each flavor found in four randomly selected bags of original Skittles. Flavor Observed Frequency Lemon 52 Lime 43 Orange 50 Strawberry 44 Grape 44 Using the Chi-Square goodness of fit test, state the null and alternative hypotheses. Compute the chi-square test statistic. Find the chi-square critical value and assume α = .05. State your conclusion (reject or do not reject the null) and summarize the results.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter3: Polynomials
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Problem: M&M/Mars, the makers of Skittle candies, states the flavor blend is 20% for each flavor. The table below shows the number of each flavor found in four randomly selected bags of original Skittles.

Flavor

Observed

Frequency

Lemon

52

Lime

43

Orange

50

Strawberry

44

Grape

44

  1. Using the Chi-Square goodness of fit test, state the null and alternative hypotheses.
  2. Compute the chi-square test statistic. Find the chi-square critical value and assume α = .05.
  3. State your conclusion (reject or do not reject the null) and summarize the results.
  4. When the observed and expected values are closer together, explain the effect on the chi-square test statistic.
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