The accompanying data have a sample correlation​ coefficient, rounded to three decimal​ places, of −0.229.

Perform a hypothesis test with the data to determine if the population correlation coefficient is less than zero using α=0.050

x y
7 7
6 9
2 10
3 6
4 8

What are the correct null and alternative​ hypotheses

What is the test statistic? (round to two decimal places as needed)

t = ___________