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
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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: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.
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
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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