The data are summarized in the table below. Owns a Gun Yes No Total Favors the Death Yes 70 44 114 Penalty for Murderers No 30 36 66 Total 100 80 180 a) Using the Chi-Squared Test for Independence. Can we conclude that gun ownership and death penalty views are NOT independent? Ho: View of Death Penalty is Independent of gun Ownership H1: The factors are not Independent

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
When there are more than two possibilities for one or more of our variables, we must use Chi-Squared.
b) Perform a Chi-Squared test on the data below to determine whether a student's grade in Statistics is
independent of their eye color.
eye color
blue
green
19
brown
144
37
grade
B
209
60
31
C
205
62
33
other
142
41
17
Ho:
H1:
X (Chi-Squared) =
df =
p-value =
Reject Ho or Fail to reject Ho
Conclusion (in a sentence or two):
c) Perform a Chi-Squared test on the data below to determine whether a student’s grade in Statistics is
independent of the last math class they passed before taking Statistics.
Last Math Class
College Algebra,
Trig., or Precalc
62
Intermediate
Calculus
Algebra
78
A
60
grade
В
115
164
21
206
88
6.
other
101
86
13
Ho:
H1:
X (Chi-Squared) :
df =
p-value =
Reject Ho or Fail to reject Ho
Conclusion (in a sentence or two):
Transcribed Image Text:When there are more than two possibilities for one or more of our variables, we must use Chi-Squared. b) Perform a Chi-Squared test on the data below to determine whether a student's grade in Statistics is independent of their eye color. eye color blue green 19 brown 144 37 grade B 209 60 31 C 205 62 33 other 142 41 17 Ho: H1: X (Chi-Squared) = df = p-value = Reject Ho or Fail to reject Ho Conclusion (in a sentence or two): c) Perform a Chi-Squared test on the data below to determine whether a student’s grade in Statistics is independent of the last math class they passed before taking Statistics. Last Math Class College Algebra, Trig., or Precalc 62 Intermediate Calculus Algebra 78 A 60 grade В 115 164 21 206 88 6. other 101 86 13 Ho: H1: X (Chi-Squared) : df = p-value = Reject Ho or Fail to reject Ho Conclusion (in a sentence or two):
For data that can be arranged in a 2 x 2 matrix, we can use Chi-Squared to test independence, or treat it as a comparison of
two binomial probabilities from two populations. We only knew to use the two proportion t-test in Assignment 27.10. We
then learned in the video that you were supposed to view before starting this assignment to perform a test for independence
using chi-squared.
This is the same data from Assignment 27.10. Perform a hypothesis test to determine, "Do we have
statistically significant evidence that gun ownership and views on the death penalty are independent?"
Suppose we asked the (self described) head-of-household in 180 Alaska households two questions:
"Does your family own a gun?" And "Do you believe criminals who commit first degree murder
should face The Death Penalty?"
In our sample, 100 households owned a gun and 70
them favored the death penalty.
Of the remaining 80 households who did not own a gun, 44 favored the death penalty.
The data are summarized in the table below.
Owns a Gun
Yes
No
Total
Favors the Death
Yes
70
44
114
Penalty for Murderers
No
30
36
66
Total
100
80
180
a) Using the Chi-Squared Test for Independence. Can we conclude that gun ownership and death
penalty views are NOT independent?
Ho: View of Death Penalty is Independent of gun Ownership
H1: The factors are not Independent
X* (Chi-Squared) =
df =
p-value =
Reject Ho or Fail to reject Ho
Conclusion (in a sentence or two):
Explain to someone who hasn't had a Statistics class what it means to say that these
factors are (or are not) independent.
Note: All tests (this one and the test from Assignment 27.10) should have the same p-value.
The Chi-Squared value is the square of the z-score.
Transcribed Image Text:For data that can be arranged in a 2 x 2 matrix, we can use Chi-Squared to test independence, or treat it as a comparison of two binomial probabilities from two populations. We only knew to use the two proportion t-test in Assignment 27.10. We then learned in the video that you were supposed to view before starting this assignment to perform a test for independence using chi-squared. This is the same data from Assignment 27.10. Perform a hypothesis test to determine, "Do we have statistically significant evidence that gun ownership and views on the death penalty are independent?" Suppose we asked the (self described) head-of-household in 180 Alaska households two questions: "Does your family own a gun?" And "Do you believe criminals who commit first degree murder should face The Death Penalty?" In our sample, 100 households owned a gun and 70 them favored the death penalty. Of the remaining 80 households who did not own a gun, 44 favored the death penalty. The data are summarized in the table below. Owns a Gun Yes No Total Favors the Death Yes 70 44 114 Penalty for Murderers No 30 36 66 Total 100 80 180 a) Using the Chi-Squared Test for Independence. Can we conclude that gun ownership and death penalty views are NOT independent? Ho: View of Death Penalty is Independent of gun Ownership H1: The factors are not Independent X* (Chi-Squared) = df = p-value = Reject Ho or Fail to reject Ho Conclusion (in a sentence or two): Explain to someone who hasn't had a Statistics class what it means to say that these factors are (or are not) independent. Note: All tests (this one and the test from Assignment 27.10) should have the same p-value. The Chi-Squared value is the square of the z-score.
Expert Solution
trending now

Trending now

This is a popular 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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman