The data is the grades of 110 randomly selected students of a university course who are registered in the Online version of a course. The grades are out of 100 (A) Construct a 90% confidence interval for u, which is the true average of the grades of all students registered in the online version of the course. Also construct 90% confidence interval to capture p, the true proportion of the Canadians who are willing to pay higher taxes to help limit the climate change? Write down your confidence interval

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Case Processing Summary
Cases
Valid
Missing
Total
Percent
Percent
Percent
Will Pay_Higher_tax_Ca
nada
110
55.0%
90
45.0%
200
100.0%
Grade_Section_A
110
55.0%
90
45.0%
200
100.0%
Descriptives
Statistic
Std. Error
Will Pay Higher_tax_Ca
Mean
.63
.046
nada
90% Confidence Interval
Lower Bound
.55
for Mean
Upper Bound
.70
5% Trimmed Mean
.64
Median
1.00
Variance
.236
Std. Deviation
.486
Minimum
Maximum
Range
1
Interquartile Range
1
Skewness
-534
230
Kurtosis
-1.747
457
Grade Section_A
Mean
70.33
1.044
90% Confidence Interval
Lower Bound
68.60
for Mean
Upper Bound
72.06
5% Trimmed Mean
70.44
Median
70.50
Variance
119.800
Std. Deviation
10.945
Minimum
38
Maximum
96
58
Range
Interquartile Range
15
Skewness
-146
230
.173
457
Kurtosis
Transcribed Image Text:Case Processing Summary Cases Valid Missing Total Percent Percent Percent Will Pay_Higher_tax_Ca nada 110 55.0% 90 45.0% 200 100.0% Grade_Section_A 110 55.0% 90 45.0% 200 100.0% Descriptives Statistic Std. Error Will Pay Higher_tax_Ca Mean .63 .046 nada 90% Confidence Interval Lower Bound .55 for Mean Upper Bound .70 5% Trimmed Mean .64 Median 1.00 Variance .236 Std. Deviation .486 Minimum Maximum Range 1 Interquartile Range 1 Skewness -534 230 Kurtosis -1.747 457 Grade Section_A Mean 70.33 1.044 90% Confidence Interval Lower Bound 68.60 for Mean Upper Bound 72.06 5% Trimmed Mean 70.44 Median 70.50 Variance 119.800 Std. Deviation 10.945 Minimum 38 Maximum 96 58 Range Interquartile Range 15 Skewness -146 230 .173 457 Kurtosis
The data is the grades of 110 randomly selected students of a university course who are registered in
the Online version of a course. The grades are out of 100
(A) Construct a 90% confidence interval for u, which is the true average of the grades of all students
registered in the online version of the course. Also construct 90% confidence interval to capture p, the
true proportion of the Canadians who are willing to pay higher taxes to help limit the climate change?
Write down your confidence interval
(B) Does the data support the hypothesis that the true mean of grades of the online version is70? Write
down your conclusion by comparing the P-value to 0.05.
One-Sample Statistics
Std. Error
Mean
Mean
Std. Deviation
Grade_Section_A
110
70.33
10.945
1.044
One-Sample Test
Test Value = 70
95% Confidence Interval of the
Mean
Difference
df
Sig. (2-tailed)
Difference
Lower
Upper
Grade Section_A
314
109
754
327
-1.74
2.40
One-Sample Effect Sizes
95% Confidence Interval
Point
Estimate
Standardizer
Lower
Upper
Grade Section_A
Cohen's d
10.945
.030
-157
217
Hedges'correction
11.021
.030
-156
215
a. The denominator used in estimating the effect sizes.
Cohen's d uses the sample standard deviation.
Hedges' correction uses the sample standard deviation, plus a correction factor.
Transcribed Image Text:The data is the grades of 110 randomly selected students of a university course who are registered in the Online version of a course. The grades are out of 100 (A) Construct a 90% confidence interval for u, which is the true average of the grades of all students registered in the online version of the course. Also construct 90% confidence interval to capture p, the true proportion of the Canadians who are willing to pay higher taxes to help limit the climate change? Write down your confidence interval (B) Does the data support the hypothesis that the true mean of grades of the online version is70? Write down your conclusion by comparing the P-value to 0.05. One-Sample Statistics Std. Error Mean Mean Std. Deviation Grade_Section_A 110 70.33 10.945 1.044 One-Sample Test Test Value = 70 95% Confidence Interval of the Mean Difference df Sig. (2-tailed) Difference Lower Upper Grade Section_A 314 109 754 327 -1.74 2.40 One-Sample Effect Sizes 95% Confidence Interval Point Estimate Standardizer Lower Upper Grade Section_A Cohen's d 10.945 .030 -157 217 Hedges'correction 11.021 .030 -156 215 a. The denominator used in estimating the effect sizes. Cohen's d uses the sample standard deviation. Hedges' correction uses the sample standard deviation, plus a correction factor.
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