Observing that the proportion of blue M Ms in his bowl
Observing that the proportion of blue M&Ms in his bowl of candy appeared to be less than that of the other colors, R. Fricker, Jr., decided to compare the color distribution in randomly chosen bags of M&Ms to the theoretical distribution reported by M&M/MARS consumer affairs. Fricker published his findings in the article "The Mysterious Case of the Blue M&Ms" (Chance, Vol. 9(4), pp. 19-22). The following is the theoretical distribution.
Color Percentage
Brown ........... 30
Yellow ........... 20
Red ............. 20
Orange ........... 10
Green ............ 10
Blue ............ 10
For his study, Fricker bought three bags of M&Ms from local stores and counted the number of each color. The average number of each color in the three bags was distributed as follows.
Color Frequency
Brown ........... 152
Yellow ........... 114
Red ............. 106
Orange ........... 51
Green ............. 43
Blue ............. 43
Do the data provide sufficient evidence to conclude that the color distribution of M&Ms differs from that reported by M&M/MARS consumer affairs? Use α = 0.05.
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