You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H 0 : ? 1 − ? 2 ≤ 0 H a : ? 1 − ? 2 > 0 The following results are for...


You may need to use the appropriate appendix table or technology to answer this question.

Consider the following hypothesis test.


H0: ?1
− ?2
≤ 0

Ha: ?1
− ?2
> 0


The following results are for two independent samples taken from the two populations.




















Sample 1Sample 2

n1
= 40


n2
= 50


x1
= 25.1


x2
= 22.8


?1
= 5.9


?2
= 6



(a)


What is the value of the test statistic? (Round your answer to two decimal places.)





(b)


What is the
p-value? (Round your answer to four decimal places.)





(c)


With
? = 0.05,

what is your hypothesis testing conclusion?


Reject
H
0. There is sufficient evidence to conclude that ?1
− ?2
> 0. Do not Reject
H
0. There is sufficient evidence to conclude that ?1
− ?2
> 0.      Do not reject
H
0. There is insufficient evidence to conclude that ?1
− ?2
> 0. Reject
H
0. There is insufficient evidence to conclude that ?1
− ?2
> 0.





Jun 09, 2022
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