For each of the following determine whether the correlation

For each of the following, determine whether the correlation between two variables is significantly different from zero, i.e., null hypotheses p=0  versus alt hypotheses p doesn\'t = 0. Compute the test statistic, p-value, and state your conclusion. Use 0.05.

a) r= 0.1, n=500

b) r=0.8, n=5

Solution

Sr = sqrt [ (1 - r^2) / ( n-2) ] ..test statistic = r / Sr = 2.2428 (a)......

= 2.3094 (b).....

p-value :

conclusion for a) p-value is less tan 0.05.so, we reject H0 and conclude that p doesn\'t = 0....
for b) p-value is greater than 0.05, so we accept H0 and conclude that p = 0.....