A marketing researcher is studying the association between r

A marketing researcher is studying the association between restaurant spending and vacation travel. She has estimated a correlation of r = -0.865, based on a sample of n = 35 consumers. Now she wants to test the correlation for statistical significance, i.e. Ha: 0, using the t test. What is her t statistic?

Solution

It is given that r = -0.865, n = 35.

Thus the test statistic is:

t=r•sqrt((n-2)/(1-r²))

=(-0.865)*sqrt((35-2)/(1-0.865^2))

=-9.9