Question

what will the likely p-value be for this? and is this suitable for a regression test? I need a specific explanation for the p value

Recent research by Wilson and Daly (2006) tested the idea that juvenile criminal offenders think about future consequences less than do noncriminal juveniles. To test the idea that juvenile offenders discount future consequences of their behavior, the researchers had juvenile offenders and nonoffenders engage in a decision task with real monetary consequences. The researchers found that the proportion of “future discounting” participants did not differ for the two groups.

Answer 1

Let p1 be the proportion of juvenile criminal offenders who think about future consequences and p2 be that proportion of non-criminal juveniles.

We are trying to find

H0: p1=p2 vs H1:p1<p2

Since the researchers have found that the proportions do not differ for the two groups, ie p1=p2, it means that the researchers have been unable to Reject the null hypothesis at the given level of significance. It is possible if the p value of the test> significance level.

Suppose the researchers are testing at alpha=0.05 , then the p-value of this one sided test would exceed 0.05

Suppose they are testing at alpha=0.1, then the p-value would exceed 0.1 in order for us to get this conclusion.