Suppose a study was designed such that pet owners laid on their floors a set of three shapes in random order: (A) a square shape, (B) a Kanizsa contour illusion of a square, or (C) a Kanizsa contour illusion that is not a square. 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? Hypotheses: In the space provided, write the appropriate hypotheses, including defining the parameter.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Q1.1

Suppose a study was designed such that pet owners laid on their floors a set of three shapes in
random order: (A) a square shape, (B) a Kanizsa contour illusion of a square, or (C) a Kanizsa
contour illusion that is not a square. 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?
Hypotheses:
In the space provided, write the appropriate hypotheses, including defining the parameter.
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) a square shape, (B) a Kanizsa contour illusion of a square, or (C) a Kanizsa contour illusion that is not a square. 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? Hypotheses: In the space provided, write the appropriate hypotheses, including defining the parameter.
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