The column "Grade" contains the grades of 110 Online and 108 In person students selected randomly and independently from students registered in the two versions of the course. The variable "Section" shows in which version they are registered. "A" means the student registered Online and "B" means the student is registered in the In person version. The column "Will_Pay_Higher_Tax" contains the responses of 200 Canadians and 210 Americans to the question "Are you willing to pay higher taxes to help limit climate change?". The two samples are selected independently from each other. The column "Country" shows the country of each respondent.
The column "Grade" contains the grades of 110 Online and 108 In person students selected randomly and independently from students registered in the two versions of the course. The variable "Section" shows in which version they are registered. "A" means the student registered Online and "B" means the student is registered in the In person version. The column "Will_Pay_Higher_Tax" contains the responses of 200 Canadians and 210 Americans to the question "Are you willing to pay higher taxes to help limit climate change?". The two samples are selected independently from each other. The column "Country" shows the country of each respondent.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The column "Grade" contains the grades of 110 Online and 108 In person students selected
randomly and independently from students registered in the two versions of the course. The
variable "Section" shows in which version they are registered. "A" means the student registered
Online and "B" means the student is registered in the In person version.
The column "VWill_Pay_Higher_Tax" contains the responses of 200 Canadians and 210 Americans
to the question "Are you willing to pay higher taxes to help limit climate change?". The two
samples are selected independently from each other. The column "Country" shows the country
of each respondent.
(A) At level a = 0.05, do the data support the hypothesis that the true average grades in both versions
of the course are equal? I.e., if we let u, HB be the true average grades of the Online and the In person
versions of the course, then we are interested in testing
SHo: HA - HB = 0
0 + #1 – Vrl :"H
Write down your conclusion by comparing your P-value to 0.05. Also include final SPSS output.
(B) Do the data support the hypothesis that the proportion of the Canadians who are willing to pay
higher tax to help limit climate change is equal to its American counterpart? I.e. if we let Pcan, Pus be
the proportions of the Canadians and the Americans who are willing to pay higher taxes to help limit
climate change, then we are interested in testing
SHo:Pcan- Pus = 0
Ho:Pcan – Pus # 0
EN A:
Write down your conclusion by comparing your P-value to 0.01.
Group Statistics
Std. Error
Section
Mean
Std. Deviation
Mean
Grade
110
70.33
10.945
1.044
B
108
69.82
8.613
.829
Independent Samples Test
Levene's Test for Equality of
Variances
Hest for Equality of Means
95% Confidence Interval of the
Difference
Sig
Sig. (2-tailed)
Mean
Difference
Std. Error
Difference
df
Lower
Upper
Grade
Equal variances
5.439
.021
377
216
707
503
1.336
-2.129
3.136
assumed
Equal variances not
378
206.267
706
503
1.333
-2.124
3.131
assumed
Independent Samples Effect Sizes
95% Confidence Interval
Point
Standardizer
Estimate
Lower
Upper
Grade
Cohen's d
9.859
051
-215
317
Hedges' correction
9.894
051
-214
315
Glass's delta
8.613
058
-207
324
a. The denominator used in estimating the efect sizes.
Cohen's d uses the pooled standard deviation.
Hedges'correction uses the pooled standard deviation, plus a correction factor.
Glass's delta uses the sample standard deviation of the control group.
Transcribed Image Text:Proportions
Independent-Samples Proportions Group Statistics
Asymptotic
Standard
Error
Country
Successes
Trials
Proportion
Will Pay_Higher_Tax= 1
= Canada
130
200
.650
.034
= US
111
210
.529
.034
Independent-Samples Proportions Confidence Intervals
95% Confidence Interval of the
Asymptotic
Standard
Difference
Difference in
Interval Type
Proportions
Error
Lower
Upper
Will Pay_Higher_Tax= 1
Agresti-Caffo
.121
.048
.026
.214
Newcombe
.121
.048
.026
.214
Independent-Samples Proportions Tests
Asymptotic
Standard
Error
Significance
Difference in
Test Type
Proportions
One-Sided p
Two-Sided p
Will Pay_Higher_Tax= 1
Wald H0
.121
.048
2.497
.006
.013
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