Math  /  Data & Statistics

Question13. A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs? In an actual experiment, 100 consumers were asked to pick the design they preferred. The following data were obtained. Do the data confirm the belief that one design is just as likely to be selected as another? Explain. \begin{tabular}{cc} Design & \begin{tabular}{c} Number of \\ Times Preferred \end{tabular} \\ 1 & 5 \\ 2 & 15 \\ 3 & 30 \\ 4 & 40 \\ 5 & 10 \end{tabular}

Studdy Solution
The data *does not* confirm the belief that each design is equally likely to be selected.
The observed choices are significantly different from what we'd expect if each design had a 20%20\% chance of being picked.

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