(a) Test the null hypothesis that there is no linear relationship between the pr

Question

(a) Test the null hypothesis that there is no linear relationship between the pretest score and the score on the final exam against the two-sided alternative. (Round your test statistic to three decimal places and your P-value to four decimal places.)

t=?

df=?

P=?

Conclusion (Which one is true?)

a. We reject H0 at the 5% significance level.

b. We do not reject H0 at the 5% significance level.    

(b) Would you reject this null hypothesis versus the one-sided alternative that the slope is positive? Explain your answer.
P=?

Conclusion (Which one is true?)

a. We could reject H0 at the 5% significance level.

b. We could not reject H0 at the 5% significance level.

Explanation / Answer

here b1=0.76

and std error =0.41

for degree of freedom =n-2 =82-2=80

hence test stat t=b1/Sb1 =0.76/0.41=1.8537

df =80

p value =0.0675

as p value is higher then 0.05 level

b. We do not reject H0 at the 5% significance level.

for one sided test

p value =0.0337

  a. We could reject H0 at the 5% significance level.

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