00:01
In this question we consider a left -tailed t -test where the test statistic for the test was t equals minus 1 .73.
00:11
It's given that the sample size used for this test was 23.
00:17
We are asked to find the p -value for this test.
00:22
For a left -tailed test, the p -value is equal to the probability of having gotten a test statistic at least as small as the one that we got.
00:33
So it's the probability of a random value from the t -distribution being less than or equal to minus 1 .73.
00:42
This is the t -distribution with n minus 1, or 22 degrees of freedom.
00:48
So suppose this graph represents the t -distribution with 22 degrees of freedom.
00:53
T -distribution is bell -shaped and symmetrical about a mean of 0.
00:59
Minus 1 .73 is somewhere around here.
01:06
So our p -value is equal to the area under the curve to the left of minus 1 .73.
01:11
That's the area of this blue shaded region...