A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. If the p value turns out to be 0.035 (which is not the real value in this data set), then
A) at α = 0.05, we should fail to reject the null hypothesis
B) at α = 0.03, we should reject the null hypothesis
C) at α = 0.04, we should reject the null hypothesis
D) None of the above would be correct statements.
2007-07-09 07:38:31 · 3 answers · asked by LG 1 in Science & Mathematics ➔ Mathematics
Statement C is correct.
If the actual p value exceeds the α value, then you reject the null hypothesis. Statement C captures that idea while A and B do not.
2007-07-09 07:52:52 · answer #1 · answered by Dr D 7 · 1⤊ 1⤋
The p value represents the area under the tail of a standard normal curve. If your test statistic falls in the range of values that delimit that area, then your null hypothesis is deemed false if your alpha is greater than p. I see C as correct...here's why....
A is incorrect because it implies we accept the null, but alpha is greater than your given p value, which means rejection.
B is incorrect because alpha is less than p and the null should not be rejected.
C is correct because alpha is greater than p, which is the signal to reject as the test statistic is too far out from the mean to be accepted as a random outcome.
D is incorrect because C is correct.
2007-07-09 14:54:20 · answer #2 · answered by oldprof 7 · 1⤊ 0⤋
what is your null hypothesis? we can't answer it
2007-07-09 14:49:42 · answer #3 · answered by nah_too_drunk 3 · 0⤊ 2⤋