Question

One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-bran cereals. The company's research office wants to investigate if the percentage of people who consume all-bran cereal is the same for each of these four brands. Let us denote the four brands of cereal by A,B,C, and D . A sample of 800 persons who consume all-bran cereal was taken, and they were asked which brand they most often consume. Of the respondents, 181 said they usually consume Brand A , 209 consume Brand B , 261 consume Brand C , and 149 consume Brand D . Does the sample provide enough evidence to reject the null hypothesis that the percentage of people who consume all-bran cereal is the same for all four brands? Use α=0.025

Find the value of the test statistic χ2. Round your answer to three decimal places. χ2= the absolute tolerance is +/-0.005

Using α=0.025, can you conclude that the current percentage distribution is different from the hypothesized one? We conclude that the current percentage distribution _________ from the hypothesized one.

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Answer 1