: The following table reports the results of a t-test using STATA. Group 1 refers to developed countries, Group 0 refers to the off-shores and European & Asian developing countries. The statistics reported are based on the average liquid liabilities during the 2000s. i. Carefully set up the null and alternative hypothesis, the risk you encounter in your decision, the steps to make the decision, and provide a clear conclusion using the p-value. ii. Using the t-values draw a graph showing the corresponding values of the t and the acceptance and rejection areas. iii. A friend believes that your decision was a Type I error. Explains what it means. iv. Using information provided in the STATA output above, show how the t statistic for the test has been calculated. v. Using the information provided in the table above, show how the 95% confidence intervals have been derived. Also calculate and comment on the confidence interval at 99%, explaining what the confidence intervals capture.

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: The following table reports the results of a t-test using STATA.
Group 1 refers to developed countries, Group 0 refers to the off-shores and
European & Asian developing countries. The statistics reported are based on the
average liquid liabilities during the 2000s.
i. Carefully set up the null and alternative hypothesis, the risk you encounter
in your decision, the steps to make the decision, and provide a clear
conclusion using the p-value.

ii. Using the t-values draw a graph showing the corresponding values of the t
and the acceptance and rejection areas.

iii. A friend believes that your decision was a Type I error. Explains what it
means.

iv. Using information provided in the STATA output above, show how the t
statistic for the test has been calculated.

v. Using the information provided in the table above, show how the 95%
confidence intervals have been derived. Also calculate and comment on the
confidence interval at 99%, explaining what the confidence intervals
capture.

Tvo-sample t test vith equal variances
Group
Obs
Mean
Std. Err.
Std. Dev.
[95% Conf. Interval]
36
33
15371.94
6206.275
37237.65
2772.537
27971.35
199013.5
113404.5
42028.42
241434.9
27795.36
combined
69
62257.06
21051.35
174865.7
20249.74
104264.4
diff
-98032.51
40731.61
-179333.1
-16731,88
diff mean (0)
nean (1)
-2,4068
Bos diff 0
degrees of freedon
Ba diff <0
Ba: diff != 0
Has diff 0
Pr ( < t) - 0.0094
= 0.0189
Pr (T t) = 0.9906
Transcribed Image Text:Tvo-sample t test vith equal variances Group Obs Mean Std. Err. Std. Dev. [95% Conf. Interval] 36 33 15371.94 6206.275 37237.65 2772.537 27971.35 199013.5 113404.5 42028.42 241434.9 27795.36 combined 69 62257.06 21051.35 174865.7 20249.74 104264.4 diff -98032.51 40731.61 -179333.1 -16731,88 diff mean (0) nean (1) -2,4068 Bos diff 0 degrees of freedon Ba diff <0 Ba: diff != 0 Has diff 0 Pr ( < t) - 0.0094 = 0.0189 Pr (T t) = 0.9906
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