00:01
So our question says determine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size.
00:08
So our r is equals to 0 .96.
00:11
Our r is across to 0 .926.
00:14
Our n is actually equals to 11 and our alpha level is 0 .01.
00:22
So the first step is for us to state the null and alternative hypothesis.
00:26
So h not is based on the fact that our rule is equal to 0.
00:29
So where rule represents the population correlation coefficients and the alternative hypothesis is that row is not equals to zero so that means that there is a there is no correlation that is our result is not significant and there is a correlation that is our result is significant so the next step is for us to get our test statistics and we have our t to be equals to r into brackets the square root of one minus r squared divided by n minus one excuse me n minus two rather so this is 0 .96 divided by the square root of 1 minus 0 .992 6 squared divided by 11 minus 2.
01:13
So 0 .9 to 6 divided by so let's use our square roots.
01:24
So we have something of the structure 1 minus 0 .9 to 6 squared divided by 11 minus 2 that gives us 9 and that gives us 0 .1 to 5 8.
01:35
So as 0 .0 .0 .8 .0 .0.
01:37
926, divide by 0 .1258 and that gives us 7 .358.
01:43
So our test statistics is 0 .358.
01:46
Since we are working with a test, we are going to be needing a digger freedom and that is our n minus 2.
01:51
We have 11 minus 2 writer which gives us 9...
