Question

Consider the data set below.

x	22	99	88	44	99	99
y	66	44	88	55	77	11

For a hypothesis test, where ?0:?1=0 and ?1:?1≠0, and using ?=0.01 , give the following:

(a) The test statistic ?=

(b) The degree of freedom ??=

(c) The rejection region |?|>

The final conclustion is

A. There is not sufficient evidence to reject the null hypothesis that ?1=0 β 1 = 0 .

B. We can reject the null hypothesis that ?1=0 β 1 = 0 and accept that ?1≠0 β 1 ≠ 0 .

Answer 1

The statistical software output for this problem is:

On the basis of above output:

a) t = -0.4213

b) df = 4

c) Rejection region: |t| > 4.604

Final conclusion: There is not sufficient evidence to reject the null hypothesis that ?1=0