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? Mechanics: Perform the mechanics using your calculator and in the space provided report the relevant results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Q3.3

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?
Mechanics:
Perform the mechanics using your calculator and in the space provided report the relevant results.
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? Mechanics: Perform the mechanics using your calculator and in the space provided report the relevant results.
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