Part A:

For the and observed significance level(p-value) pair, indicate whether the null hypothesis would be rejected.

=0.05, p-value=0.45

Choose the correct conclusion below.

A.

Reject the null hypothesis since thep-value is notless than the value of .

B.

Donotreject the null hypothesis since thep-value is notless than the value of .

C.

Reject the null hypothesis since thep-value is less than the value of .

D.

Donotreject the null hypothesis since thep-value is less than the value of .

Part B:

According to a theory inpsychology, 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 30 female college students. Each student completed the Ethic of CareInterview, which consisted of a series of statements on empathy attitudes. For the statement on emotionalempathy, the sample mean response was 3.35. Assume the population standard deviation for female is 0.5. Note that empathy scores ranged from 0 to4, where 0="never" and 4="always". Suppose it is known that male college students have an average emotional empathy score of =3. Complete parts a through e below.

a. Specify the null and alternative hypothesis for testing whether female college students score higher than 3.0 on the emotional empathy scale.

A.

H0: =3

Ha: >3

B.

H0: 3

Ha: =3

C.

H0: =3

Ha: 3

D.

H0: =3

Ha: <3