Hypothesis testing involving two populations means or proportions

Hypothesis testing involving two populations means or proportions

Some criminologists argue there is a relationship between “impulsivity” and criminal offending. The idea is that impulsive people act on immediate gratification and that since crime involves quick pleasure and only the long-term possibility of any cost (getting caught and punished), it should be highly attractive to them. To test this notion you take a random sample of 120 people, you give them a personality test that includes a measure of impulsivity. Based on this test, you divide your sample into two groups: (1) the non-impulsive group (n = 80) and, (2) the impulsive group (n = 40). You then ask each person to report the number of criminal offenses they have committed in the last year. Finally, you calculate the mean number of self-reported offenses for each group, and here is the data you get:

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