A psychologist examining art appreciation selected an abstract painting that had no obvious top or bottom. Hangers were placed on the painting so that it could be hung with any one of the four sides at the top. The painting was shown to a sample of n = 50 participants, and each was asked to hang the painting in the orientation that looked correct. The following data indicate how many people chose each of the four sides to be placed at the top. Are any of the orientations selected more (or less) often than would be expected simply by chance? Test with a = .05. Top Up(correct)Bottom upLeft sideupRight side up181778

Null Hypothesis: The proportion of people preferring art hanging top up, bottom up, right up, or left up will not differ. Alternative Hypothesis: The proportion of people preferring art hanging top up, bottom up, right up, or left up will differ. df = number of categories - 1 =4-1 =3 chi-square critical value =7.81p:top up: .25bottom up: .25left side up: .25right side up: .25p = 1 / number of categories top up: 12.5bottom up: 12.5left side up: 12.5right side up: 12.5= TOTAL (50)for each cell:fe = p x totaltop up: 2.42bottom up: 1.62left side up: 2.42right side up: 1.62= TOTAL (50)chi-square discrepancy:(o - e)2 / e χ 2 =8.08 reject the null hypothesis In APA format: χ2 (3, n = 50) = 8.08, p < .05 Therefore the proportions of people preferring art hanging in the different directions significantly differed, such that more people liked "top up" (36%) and "bottom up" (34%) than "left up" (14%) and "right up" (16%).

Answered: A psychologist examining art…

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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A psychologist examining art appreciation selected an abstract painting that had no obvious top or bottom. Hangers were placed on the painting so that it could be hung with any one of the four sides at the top. The painting was shown to a sample of n = 50 participants, and each was asked to hang the painting in the orientation that looked correct. The following data indicate how many people chose each of the four sides to be placed at the top. Are any of the orientations selected more (or less) often than would be expected simply by chance? Test with a = .05.

Top Up

(correct)

Bottom up

Left side

Right side up

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