At the a Y 0.05 significance level, what is the most appropriate conclusion to draw from this test?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Topic Video
Question
Choose 1 answer:
This is convincing evidence that the distribution of superpower differs between the genders.
This isn't enough evidence to say that the distribution of superpower differs between the
genders.
This is convincing evidence that superpower and gender are not independent.
He lacks evidence to say that superpower and gender are not independent.
Gender causes students to prefer certain superpowers.
Transcribed Image Text:Choose 1 answer: This is convincing evidence that the distribution of superpower differs between the genders. This isn't enough evidence to say that the distribution of superpower differs between the genders. This is convincing evidence that superpower and gender are not independent. He lacks evidence to say that superpower and gender are not independent. Gender causes students to prefer certain superpowers.
Elliot was curious if there was a relationship between a student's gender and what superpower they'd
prefer to have. He obtained data from a random sample of 206 students. Here is a summary of the data
and the results from a chi-square test:
Chi-square test: Superpower
vs. gender
Female
Male
Fly
19
32
Expected
27.73 23.27
Freeze time
17
23
Expected
21.75
18.25
Invisibility
23
13
Expected
19.57
16.43
Telepathy
53
26
Expected
42.95
36.05
X = 14.759, DF =
3, P-value = 0.002
%3D
Assume that all conditions for inference were met.
At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test?
Transcribed Image Text:Elliot was curious if there was a relationship between a student's gender and what superpower they'd prefer to have. He obtained data from a random sample of 206 students. Here is a summary of the data and the results from a chi-square test: Chi-square test: Superpower vs. gender Female Male Fly 19 32 Expected 27.73 23.27 Freeze time 17 23 Expected 21.75 18.25 Invisibility 23 13 Expected 19.57 16.43 Telepathy 53 26 Expected 42.95 36.05 X = 14.759, DF = 3, P-value = 0.002 %3D Assume that all conditions for inference were met. At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill