Answer:
The correct option is (A).
Step-by-step explanation:
A two -sample t-test is used to determine whether there is significant evidence that students at University 1 drink more than students at University 2.
The hypothesis can be defined as follows:
<em>H</em>₀: The students at University 1 does not drink more than students at University 2, i.e.<em> μ</em>₁ ≤ <em>μ</em>₂.
<em>H</em>ₐ: The students at University 1 drink more than students at University 2, i.e.<em> μ</em>₁ > <em>μ</em>₂.
The information provided is:
test statistic (t) = 2.64
<em>p</em>-value = 0.005
The <em>p</em>-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.
Conclusion:
The samples provide significant evidence that students at University 1 drink more than students at university 2.
Thus, the correct option is (A).