(a) Test the null hypothesis that there is no linear relationship between the pr
ID: 3240873 • Letter: #
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.)
Conclusion
We reject H0 at the 5% significance level.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
We could reject H0 at the 5% significance level.We could not reject H0 at the 5% significance level.
t = df = P =Explanation / Answer
y^ = 9.1 + 0.76x
The standard error of b1 was 0.44
Question a)
t = (0.76/0.44)
= 1.727
Answer: t = 1.727
df = 82 – 2
= 80
Answer: 80
P-value, excel formula:
=TDIST(1.727,80,2)
Answer: P = 0.0880
p-value is more than .05 (level of significance); we fail to reject the null hypothesis.
Answer: We do not reject H0 at the 5% significance level.
Question b)
P-value, excel formula:
=TDIST(1.727,80,1)
Answer: P = 0.0440
p-value is less than .05 (level of significance); we reject the null hypothesis.
Conclusion:
Answer: We could reject H0 at the 5% significance level.
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