00:01
All right, so for this problem, the real trick to this is going to be that we need to determine first if there is a significant correlation.
00:18
So what we need to do is do a quick hypothesis test where the null hypothesis is that the population correlation is zero, and the alternate hypothesis is that the population correlation is not zero.
00:30
We have that it does not appear that you have a level of significance dictated.
00:35
So i'll set this at a pretty conservative alpha equals 0 .01.
00:41
So we have that the number of degrees of freedom for the test is going to be the sample size minus 2.
00:48
So that would be for 18 degrees of freedom.
00:52
And let's see here.
00:54
So i have a table of values for a correlation test here.
01:02
We want the 0 .01 critical value for n minus 2, so 18 degrees of freedom.
01:09
You can see that the critical value for the correlation coefficient there is 0 .561.
01:17
So r -star is 0 .561, which is significantly less than our given correlation value of 0 .985...