Question

Consider the following competing hypotheses:

H0: ρxy ≥ 0

HA: ρxy < 0

The sample consists of 30 observations and the sample correlation coefficient is –0.46. Use Table 2.

a.	Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Test statistic

b.	Approximate the p-value.
	0.005 < p-value < 0.01 p-value < 0.005 0.01 < p-value < 0.025 0.025 < p-value < 0.05

c.	At the 5% significance level, what is the conclusion to the test?

(Click to select)RejectDo not reject H0, we (Click to select)cancannot conclude that the population correlation coefficient between x and y is significantly different from zero.

Answer 1