Table 8.20 is based on results described in a study that examined the effects of alcohol consumption and drug use on sexual behaviour, of undergraduate students at a university in the southeastern United States. In this table, the columns refer to whether the student engaged in unprotected sex in the past three months and the rows refer to whether the student reported drinking alcohol mixed with energy drinks (AmED).

(a) Construct conditional distributions that treat unprotected sex as the response variable. Interpret.

(b) Test whether the variables are statistically independent. Report the P-value, and interpret.

Table 8.20:

Unprotected Sex Yes No AmED Yes 77 44 Consumption No 194 309