researcher suspects that, on average, those who are married have a higher household
income than their unmarried counterparts. An independent samples t-test has been conducted to empirically examine whether the research’s gut feeling is true or not (alpha = 0.05). The two relevant variables for this problem are: marital and income (see the attached screenshot).
Technically speaking, please report both t-statistic and its associated p-value for the group mean
difference test (i.e., an independent samples t-test)
Question 1: Using the screenshot image, please examine the following null hypothesis (please do state the null hypothesis here) and the alternative hypothesis (please state the null hypothesis here). We employed an independent samples t-test to examine the above null hypothesis, and found the t-statistic and the corresponding p-value to be _____________ and _____________, respectively. As the p-value is (or is not) smaller than the critical alpha, the null hypothesis should be (or should not be) rejected at the 0.05 alpha level. In other words, the married respondents and their unmarried counterparts have approximately the same (or have a significantly different) average income (see attached screenhot image).
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