Question

If you pay more in tuition to go to a top business​school, will it necessarily result in a higher probability of a job offer at​ graduation? Lety=percentage of graduates with job offers and x=tuition ​cost; then fit the simple linear​ model, E(y)=β0+β1x​,to the data below. Is there sufficient evidence​ (at α=0.10) of a positive linear relationship between y and​ x?

School	Annual tuition​ ($)	​% with Job Offer
1	39,832	89
2	39,466	94
3	38,857	95
4	38,579	96
5	38,494	95
6	37,702	93
7	37,657	89
8	37,615	98
9	36,554	87
10	36,191	84

Give the null and alternative hypotheses for testing whether there exists a positive linear relationship between y and​ x?

A.H0​: β0=0

Ha​:β0>0

B. H0​: β1s=0

Ha​: β1>0

C.H0​: β0=0

Ha​: β0<0

D.H0​:β1=0

Ha​:β1l<0

E.H0​: β=0

Ha​: β1≠0

F.H0​: β0=0

Ha​: β0≠0

Find the test statistic.

t=________​(Round to two decimal places as​ needed.)

Find the​ p-value.

​p-value=_______​(Round to four decimal places as​ needed.)

Make the appropriate conclusion at α=0.10.

Choose the correct answer below.

A.Do not reject H0.There is insufficient evidence that there exists a positive linear relationship between y and x.

B.Reject H0.There is insufficient evidence that there exists a positive linear relationship between y and x.

C.Do not reject H0.There is sufficient evidence that there exists a positive linear relationship between y and x.

D.Reject H0. There is sufficient evidence that there exists a positive linear relationship between y and x.

Answer 1