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A researcher claims that the number of different-colored candies in bags of peanut M&M’s® is uniformly distributed. To test this claim, you randomly select a bag that contains 180 peanut M&M’s®. The results are shown in the table given below. Using α = 0.05, test the researcher’s claim.
a. Verify that the expected frequency is at least 5 for each category.
b. Identify the expected distribution and state H0 and Ha.
c. Identify the level of significance α.
d. Identify the degrees of freedom.
e. Find the critical value X02 and identify the rejection region.
f. Find the chi-square test statistic. Sketch a graph.
g. Decide whether to reject the null hypothesis.
h. Interpret the decision in the context of the original claim.
Color Frequency, f
Brown …………….. 22
Yellow ……………. 27
Red ……………….. 22
Blue ………………. 41
Orange ……………. 41
Green ……………... 27 |
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