Our study consists in the test of two distinct statistical hypotheses.
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**Replication of Folk Moral Relativism.**
First, a replication of the Sarkissian et al (2011) results, which correspond to the hypothesis that participant judgment that someone need be wrong in the case of moral disagreement decreases as the identity of one interlocutor involved (same-culture, other-culture, extraterrestrial) becomes more distant.
This can be formalized as an overarching hypothesis regarding population mean judgments $H:\mu_{s} < \mu_{o} < \mu_{e}$, with the indices $s$, $o$, and $e$ referring to `Same-Culture`, `Other-Culture`, and `Extraterrestrial` conditions, respectively.
To test this inequality, we break it down into three pairwise inequalities as follows.
1. $H_{1}: \mu_{s} < \mu_{o}$,
2. $H_{2}: \mu_{s} < \mu_{e}$,
3. $H_{3}: \mu_{o} < \mu_{e}$.
Each of these hypotheses is paired, in the normal way, with a corresponding null hypothesis that the inequality does not obtain.
**Inductive assumptions:** we assume our data satisfies continuity and normality of the dependent variable (mean response) and that our samples exhibit unequal size and variance between the conditions.
**Statistical test:** given our hypotheses and inductive assumptions, an appropriate statistical test of our study hypothesis is given by *one-sided unequal variance (Welch's) t-tests*.
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**Novel Test of Cooperation Thesis.**
Second, our distinct hypothesis that introducing the prospect of future interaction will increases participant objectification.
This can be formalized as the following hypothesis regarding population mean judgments
4. $H_4:\mu_{i} > \mu_{n}$,
with the indices $i$ and $n$ referring to `Interaction` and `No-Interaction` conditions, respectively. The null hypothesis, of course, is the negation of this inequality.
**Inductive assumptions:** we assume our data satisfies continuity and normality of the dependent variable (mean response) and that our samples exhibit unequal size and variance between the conditions.
**Statistical test:** given our hypothesis and inductive assumptions, an appropriate statistical test of our study hypothesis is given by a *one-sided unequal variance (Welch's) t-test*.