Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question

Q2.2

Suppose a study was designed such that pet owners laid on their floors a set of three shapes in random order: a square shape (A), a Kanizsa contour illusion of a square (B), or a Kanizsa contour illusion that is not a square (C). The owners then recorded where their cats chose to sit. Let's assume that we've got randomness--random cats, random order of the shapes, etc. A B C For a sample of 60 cats, 48 chose to sit in the square or square illusion. (That means 12 cats sat on the shape like diagram C.) Does this data give us convincing evidence that the population proportion of cats that choose to sit on a square/square illusion is greater than 0.67? Conditions: In the space provided, list the validity conditions for this procedure as well as how they have been met:
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Transcribed Image Text:Suppose a study was designed such that pet owners laid on their floors a set of three shapes in random order: a square shape (A), a Kanizsa contour illusion of a square (B), or a Kanizsa contour illusion that is not a square (C). The owners then recorded where their cats chose to sit. Let's assume that we've got randomness--random cats, random order of the shapes, etc. A B C For a sample of 60 cats, 48 chose to sit in the square or square illusion. (That means 12 cats sat on the shape like diagram C.) Does this data give us convincing evidence that the population proportion of cats that choose to sit on a square/square illusion is greater than 0.67? Conditions: In the space provided, list the validity conditions for this procedure as well as how they have been met:
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