00:01
For this problem, we are asked if we are testing an alternative hypothesis of the, or of p does not equal p.
00:08
Or as to which of the following test statistics will give the smallest p value.
00:13
So we can logic through this, or i might as well actually give you an illustration of it.
00:18
So one second here.
00:20
So we have, in this case, just a normal distribution.
00:23
And for a does not equal type hypothesis, we want two -tail here.
00:28
And, well, let's see, we can put our cutoff value at negative 2, for instance.
00:35
We can see that our p value would be 1 minus 0 .954.
00:41
If we put a cutoff value of negative 0 .5, then our p value would be 1 minus 0 .33, a much larger value.
00:50
And if we put a cutoff value of 1 .1, and again, 1 minus 0 .729.
00:57
So we have that the larger test statistic will give us a smaller p -value...