Part A:

A survey found that 80% of college presidents believe that their online education courses are as good as or superior to courses that use traditionalface-to-face instruction.

a. Give the null hypothesis for testing the claim made by the survey.

b. Give the rejection region for atwo-tailed test conducted at =0.10.

Part B:

In a study investigating a link between walking and improvedhealth, researchers reported that adults walked an average of 874 minutes in the past month for the purpose of health or recreation. Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 874 minutes.

Choose the correct answer below.

A.

H0: =874, Ha: 874

B.

H0: =874, Ha: <874

C.

H0: =874, Ha: >874

D.

H0: 874, Ha: <874

Part C:

Suppose the mean GPA of all students graduating from a particular university in 1975 was 2.50. The registrar plans to look at records of students graduating last year to see if the mean GPA has decreased. Define notation and state the null and alternative hypotheses for this investigation.

Choose the correct null and alternative hypotheses.

A.

H0:

=2.50

Ha:

>2.50

B.

H0:

>2.50

Ha:

=2.50

C.

H0:

<2.50

Ha:

=2.50

D.

H0:

=2.50

Ha:

2.50

E.

H0:

2.50

Ha:

=2.50

F.

H0:

=2.50

Ha:

<2.50

Part D:

Several yearsago, a government agency reported the default rate(the proportion of borrowers who default on theirloans) on a certain type of loan at 0.045. Set up the null and alternative hypotheses to determine if the default rate this year is less than 0.045.

What are the correct null and alternative hypotheses to test the claim that the default rate is less thisyear?

A.

H0: p<0.045

Ha: p=0.045

B.

H0: p=0.045

Ha: p>0.045

C.

H0: p0.045

Ha: p=0.045

D.

H0: p=0.045

Ha: p<0.045

E.

H0: p>0.045

Ha: p=0.045

F.

H0: p=0.045

Ha: p0.045

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