Chatterjee et al. (1995, p. 132) described a study about the effect of condoms in reducing the spread of AIDS. This two-year Italian study followed heterosexual couples where one partner was infected with the HIV virus. Of 171 couples who always used condoms, 3 partners became infected with HIV, while of 55 couples who did not always use condoms, 8 partners became infected. Test whether the rates are significantly different.
a. Define p1 and p2 in this context, and specify the null and two-sided alternative hypotheses.
b. For these data, software reports