In Learning Check 3, preferences for three M&M colors (purple, aqua, and pink) were compared. As it turns out, the final worldwide vote conducted by www.mms.com found that 42% chose purple, 38% chose aqua, and 20% chose pink. Conduct the chi-square goodness-of-fit test comparing this sample’s proportions with those reported by the M&Ms company.

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a. State the null and alternative hypotheses (Ho and H). b. Make a decision about the null hypothesis. (1) Calculate the degrees of freedom (df). (2) For = .05, identify the critical value and state a decision rule. (3) Calculate a value of the chi-square statistic (x). (4) Make a decision whether to reject the null hypothesis. (5) Determine the level of significance. (6) Calculate a measure of effect size (Cramer's +). c. Draw a conclusion from the analysis.