One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three...

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One of the products produced by Branco Food Company is All-BranCereal, which competes with three other brands of similar all-brancereals. The company's research office wants to investigate if thepercentage of people who consume all-bran cereal is the same foreach of these four brands. Let us denote the four brands of cerealby A,B,C, and D. A sample of 900 persons who consume all-brancereal was taken, and they were asked which brand they most oftenconsume. Of the respondents, 226said they usually consume Brand A,232 consume Brand B, 233 consume Brand C, and 209 consume Brand D.Does the sample provide enough evidence to reject the nullhypothesis that the percentage of people who consume all-brancereal is the same for all four brands? Use ?=0.05.

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Solution Solution is based on Chisquare Test for Goodness of Fit Let pA pB pC and pD be the proportion of people who consume allbran cereal brands A B C and D respectively Let Oi and Ei be respectively the observed and expected frequencies of the ith class i 1 to 4 4 being the number of brands given Claim the See Answer

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