M&M Project Essay

1923 WordsJan 17, 20128 Pages
Be sure to state clear hypotheses, test statistic values, critical value or p-value, decision (reject/fail to reject), and conclusion in English. When doing calculations for the color proportions, keep at least 4-6 decimal places sample proportions, otherwise you will encounter large rounding errors. Master foods USA states that their color blends were selected by conducting consumer preference tests, which indicated the assortment of colors that pleased the greatest number of people and created the most attractive overall effect. On average, they claim the following percentages of colors for M&Ms® milk chocolate candies: 24% blue, 20% orange, 16% green, 14% yellow, 13% red and 13% brown. 3 pts. Test their claim that the true proportion of blue M&Ms® candies is 0.24 at the 0.05 significance level. Answer The null hypothesis tested is H0: The proportion of blue M&Ms candies = 0.24. (p = 0.24) The alternative hypothesis is H1: The proportion of blue M&Ms candies ≠ 0.24. (p ≠ 0.24) The test statistic used is[pic], where p0 = 0.24, p = 1967/9194 = 0.213943876, n = 9194 Therefore, [pic]= -5.849916104 Rejection criteria: Reject the null hypothesis, if the absolute value of calculated Z is greater than the critical value of Z at the 0.05 significance level. Lower critical value = -1.959963985 Upper critical value = 1.959963985 Conclusion: Reject the null hypothesis, since the absolute value of calculated Z is greater than the critical value of Z. The sample does not provide enough evidence to support the claim that the true proportion of blue M&Ms candies is 0.24. Details |Z Test of Hypothesis for the Proportion | | | | |Data | |Null Hypothesis p=

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