M&M Project

Be sure to state clear hypotheses, test statistic hold dears, unfavorable value or p-value, decision (reject/fail to reject), and conclusion in English.  When doing calculations for the color dimensions, keep at least 4-6 decimal places try out resemblances, otherwise you will encounter large rounding errors.

victor foods USA states that their color blends were selected by conducting consumer preference tests, which indicated the assortment of colourize that pleased the greatest number of people and created the most agreeable overall effect.  On average, they pack 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.   tryout 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 compute Z is greater than the full of life 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 have 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 supposition for the Proportion |
| | |
|Data |
|Null Hypothesis p= |0.24 |
|Level of Significance |0.05...If you want to get a full essay, order it on our website: Ordercustompaper.com



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