QUESTION 5. [12 marks] Does students of Carleton University have pizza preferences among four pizza stores? To assess th
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QUESTION 5. [12 marks] Does students of Carleton University have pizza preferences among four pizza stores? To assess th
QUESTION 5. [12 marks] Does students of Carleton University have pizza preferences among four pizza stores? To assess the difference among the preferences, an analyst took a random sample of 60 students in 2021 and fresh pizza was delivered from the four stores. Each student tasted all four pizzas and mentioned their preferences. The resulting frequencies are recorded in the table below. Pizza Hut Pizza Pizza Domino's Boston Pizza 12 23 10 15 (a) At a = 0.05, is there any significant difference among the preferences of students for the four pizza brands? Conduct an appropriate test using the critical value method. (b) Based on the result of part (a), describe the nature of the differences using the two comparisons of observed and expected frequencies that contributed the greatest to the value of the test statistic. (c) Comment on the validity of the test result in (a).
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