According to a theory in​ psychology, young female adults show more emotional empathy toward others than do males. A stu

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According to a theory in​ psychology, young female adults
show more emotional empathy toward others than do males. A study
tested this theory by examining the attitudes of a sample
of 38 female college students. Each student completed the
Ethic of Care​ Interview, which consisted of a series of
statements on empathy attitudes. For the statement on
emotional​ empathy, the sample mean response
was 3.31. Assume the population standard deviation for
female is 0.5. Note that empathy scores ranged from 0
to​ 4, where 0 = ​"never" and 4 =
​"always". Suppose it is known that male college students have
an average emotional empathy score of μ=3.
Complete parts a through e below.
Specify the null and alternative hypothesis for testing whether
female college students score higher than 3.0 on the
emotional empathy scale.
A. H0​: μ=3 Ha​: μ>3
B. H0​: μ=3 Ha​: μ≠3
C. H0​: μ≠3 Ha​: μ=3
D. H0​: μ=3 Ha​: μ<3
Part 2
b. Compute the test statistic.
z = enter your response here
​(Round to two decimal places as​ needed.)
Part 3
c. Find the observed significance level​ (p-value) of the
test.
​p-value=enter your response here
​(Round to three decimal places as​ needed.)
Part 4
d. At α=0.01​, what is the
appropriate​ conclusion?
A. Do not reject H0. There is sufficient evidence to
conclude that the true mean score for female college students is
greater than 3.
B.Reject H0. There is insufficient evidence to
conclude that the true mean score for female college students is
greater than 3.
C. Do not reject H0. There is insufficient evidence to
conclude that the true mean score for female college students is
greater than 3.
D. Reject H0. There is sufficient evidence to conclude
that the true mean score for female college students is greater
than 3.
Part 5
e. How small of an α​-value can you choose and still
have sufficient evidence to reject the null​ hypothesis?
A.There would still be sufficient evidence to reject the null
hypothesis if α<0.0011.
B.There would still be sufficient evidence to reject the null
hypothesis if α<0.01.
C.There would still be sufficient evidence to reject the null
hypothesis if α>0.01.
D.There would still be sufficient evidence to reject the null
hypothesis if α>0.0011.