Mark the given statement true or false. If you believe that the statement is false, briefly explain

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Mark the given statement true or false. If you believe that the statement is​ false, briefly explain why you think it is false.
A​ two-sample t-test that pools the variances is equivalent to a simple regression of the response on a single dummy variable.
Choose the correct answer below.
A. The statement is false because a​ two-sample t-test tests the difference between two means and a simple regression of a response on a dummy variable does not.
B. The statement is false because a​ two-sample t-test analyzes a difference between variances and a simple regression of a response on a dummy variable does not.
C. The statement is false because a simple regression of a response on a dummy variable tests the difference between two means and a​ two-sample t-test does not.
D. The statement is true.
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