A psychologist develops a test to detect malingering in criminal trial defendants who are pleading not guilty by reason of insanity.(Malingering is faking psychological symptoms for the purpose of secondary gain, such as avoiding time in prison.) She wants her test to be able to distinguish between those who really are experiencing psychotic symptoms and those who are faking. She recruits 30 individuals from a local psychiatric facility. All 30 have been independently diagnosed with a psychotic disorder (with symptoms of hallucinations and delusions). The patients are group 1; they are given the test with instructions to respond honestly. The comparison group consists of 30 inmates at a local jail who have exhibited no significant signs of mental illness. The inmates are group 2; they are given the test with instructions to make it look like they are psychotic (i.e., that they have hallucinations and delusions). They are further told that they are trying to "fool the experts." At the end of the study, the psychologist compares the two groups to determine whether there is a significant difference in scores on the test.

What type of t-test should be used to analyze her data?

What would the hypotheses be?