A statistics student wants to determine if a quiet room is a better study environment for students than a noisy environment. 95 students were randomly assigned to a quiet study environment while the other 96 were assigned to a noisy environment. Students in each group were given a short booklet from which to study and then were given a brief multiple-choice test. 52 of the students who studied in the quiet study environment passed the test, compared to 43 students who were in the noisy environment. Let p1 = the true proportion of all students like these who study in a quiet environment and pass the test and p2 = the true proportion of all students like these who study in a noisy environment and pass the test. The student wanted to conduct a significance test of P1 - P2 . What is the test statistic and p-value? O z - -1.38 & p-value = 0.916 O z = 1.38 & p-value = 0.916 O z = 1.38 & p-value = 0.084 O Not possible since conditions are not met