Answered: Would a chi-square test be appropriate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text:Does advertising influence children as young as three? Researchers at Stanford University conducted a taste test with preschoolers. Each preschooler tasted two identical samples of five food items (hamburger, french fries, chicken nuggets, baby carrots, and apple slices). For each item, the children tasted one sample wrapped in a McDonald's wrapper and the other sample in an identical, but unbranded, wrapper. Some children tasted the sample in the branded wrapper first, others tasted the sample in the unbranded wrapper first. Consistently for all food items, the majority of preschoolers preferred the food in the McDonald's wrapper over the one in the unbranded wrapper, even though both samples were identical. [Source: Robinson, T. N., et al. "Effects of fast food branding on young children's taste preferences." Archives of Pediatrics & Adolescent Medicine 161 C2007): 792–797]. The researchers found that the preschoolers who watched more television or ate more often at McDonald's were more likely to prefer the food wrapped in a McDonald's wrapper. However, it possible that the children were attracted to the branded wrapper because it had more writing and colors on it, rather than because they recognized the McDonald's logo? You decide to conduct a similar experiment with 14 randomly selected preschoolers. In this experiment you use identical samples of carrots. You wrap one of the carrots samples in a wrapper that is colorfully marked and lettered with a description of the contents, but no McDonald's logo; another in a wrapper that is colorfully marked and lettered with a description of the contents with a McDonald's logo; and a third in an unmarked, unlabeled wrapper of the same size, shape, and material. You have the preschoolers each enter a private room and taste the three carrots samples in different orders and indicate which they prefer most. Would a chi-square test be appropriate to use to test the hypothesis that preschoolers do not show a preference for the carrots in either of the three different types of wrappers? Yes No, because the observations are not independent No, because the preschoolers responses are likely to be normally distributed No, because the expected frequency for each category is less than five

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