The column "Grade" contains the grades of 110 Online and 108 In person students selectedrandomly and independently from students registered in the two versions of the course. Thevariable "Section" shows in which version they are registered. "A" means the student registeredOnline 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 Americansto the question "Are you willing to pay higher taxes to help limit climate change?". The twosamples are selected independently from each other. The column "Country" shows the countryof each respondent.(A) At level a = 0.05, do the data support the hypothesis that the true average grades in both versionsof the course are equal? I.e., if we let u, HB be the true average grades of the Online and the In personversions of the course, then we are interested in testingSHo: HA - HB = 00 + #1 – Vrl :"HWrite 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 payhigher tax to help limit climate change is equal to its American counterpart? I.e. if we let Pcan, Pus bethe proportions of the Canadians and the Americans who are willing to pay higher taxes to help limitclimate change, then we are interested in testingSHo:Pcan- Pus = 0Ho:Pcan – Pus # 0EN A:Write down your conclusion by comparing your P-value to 0.01.Group StatisticsStd. ErrorSectionMeanStd. DeviationMeanGrade11070.3310.9451.044B10869.828.613.829Independent Samples TestLevene's Test for Equality ofVariancesHest for Equality of Means95% Confidence Interval of theDifferenceSigSig. (2-tailed)MeanDifferenceStd. ErrorDifferencedfLowerUpperGradeEqual variances5.439.0213772167075031.336-2.1293.136assumedEqual variances not378206.2677065031.333-2.1243.131assumedIndependent Samples Effect Sizes95% Confidence IntervalPointStandardizerEstimateLowerUpperGradeCohen's d9.859051-215317Hedges' correction9.894051-214315Glass's delta8.613058-207324a. 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. ProportionsIndependent-Samples Proportions Group StatisticsAsymptoticStandardErrorCountrySuccessesTrialsProportionWill Pay_Higher_Tax= 1= Canada130200.650.034= US111210.529.034Independent-Samples Proportions Confidence Intervals95% Confidence Interval of theAsymptoticStandardDifferenceDifference inInterval TypeProportionsErrorLowerUpperWill Pay_Higher_Tax= 1Agresti-Caffo.121.048.026.214Newcombe.121.048.026.214Independent-Samples Proportions TestsAsymptoticStandardErrorSignificanceDifference inTest TypeProportionsOne-Sided pTwo-Sided pWill Pay_Higher_Tax= 1Wald H0.121.0482.497.006.013

Question

The column &#34;Grade&#34; contains the grades of 110 Online and 108 In person students selectedrandomly and independently from students registered in the two versions of the course. Thevariable &#34;Section&#34; shows in which version they are registered. &#34;A&#34; means the student registeredOnline and &#34;B&#34; means the student is registered in the In person version.The column &#34;VWill_Pay_Higher_Tax&#34; contains the responses of 200 Canadians and 210 Americansto the question &#34;Are you willing to pay higher taxes to help limit climate change?&#34;. The twosamples are selected independently from each other. The column &#34;Country&#34; shows the countryof each respondent.(A) At level a = 0.05, do the data support the hypothesis that the true average grades in both versionsof the course are equal? I.e., if we let u, HB be the true average grades of the Online and the In personversions of the course, then we are interested in testingSHo: HA - HB = 00 + #1 – Vrl :&#34;HWrite 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 payhigher tax to help limit climate change is equal to its American counterpart? I.e. if we let Pcan, Pus bethe proportions of the Canadians and the Americans who are willing to pay higher taxes to help limitclimate change, then we are interested in testingSHo:Pcan- Pus = 0Ho:Pcan – Pus # 0EN A:Write down your conclusion by comparing your P-value to 0.01.Group StatisticsStd. ErrorSectionMeanStd. DeviationMeanGrade11070.3310.9451.044B10869.828.613.829Independent Samples TestLevene's Test for Equality ofVariancesHest for Equality of Means95% Confidence Interval of theDifferenceSigSig. (2-tailed)MeanDifferenceStd. ErrorDifferencedfLowerUpperGradeEqual variances5.439.0213772167075031.336-2.1293.136assumedEqual variances not378206.2677065031.333-2.1243.131assumedIndependent Samples Effect Sizes95% Confidence IntervalPointStandardizerEstimateLowerUpperGradeCohen's d9.859051-215317Hedges' correction9.894051-214315Glass's delta8.613058-207324a. 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. ProportionsIndependent-Samples Proportions Group StatisticsAsymptoticStandardErrorCountrySuccessesTrialsProportionWill Pay_Higher_Tax= 1= Canada130200.650.034= US111210.529.034Independent-Samples Proportions Confidence Intervals95% Confidence Interval of theAsymptoticStandardDifferenceDifference inInterval TypeProportionsErrorLowerUpperWill Pay_Higher_Tax= 1Agresti-Caffo.121.048.026.214Newcombe.121.048.026.214Independent-Samples Proportions TestsAsymptoticStandardErrorSignificanceDifference inTest TypeProportionsOne-Sided pTwo-Sided pWill Pay_Higher_Tax= 1Wald H0.121.0482.497.006.013

Accepted Answer

A)
From the given information,
H0:μA-μB=0Ha:μA-μB≠0
In the case equal variances, 
From the output,…