The following hypotheses are given.

H₀: 0

H₁:< 0

A random sample of 15 paired observations has a correlation of 0.46. Can we conclude that the correlation in the population is less than zero? Use the 0.05 significance level.

a.State the decision rule for 0.05 significance level.(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

b.Compute the value of the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

c.Can we conclude that the correlation in the population is less than zero? Use the 0.05 significance level.