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? Let y= % 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=0.05) of a positive linear relationship between y and​ x?

School	Annual tuition​ ($)	​% with Job Offer
1	39,846	89
2	39,728	91
3	39,656	87
4	38,747	98
5	38,342	97
6	37,686	93
7	37,213	94
8	37 comma 07137,071	8686
9	36,498	87
10	36,025	91

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

A.H0​: β1equals=0

Ha​: β1<0

B. H0​: β1=0

Ha​: β1≠0

C. H0​: β0=0

Ha​: β0<0

D. H0​: β0=0

Ha​: β0>0

E.H0​: β1=0

Ha​: β1>0 Your answer is correct.

F. H0​: β0=0

Ha​: β0≠0

Find the test statistic. t=0.24 ​(Round to two decimal places as​ needed.)

Find the​ p-value. ​p-value=0.4094 ​(Round to four decimal places as​ needed.)

Make the appropriate conclusion at α=0.05.

Choose the correct answer below.

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

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

Answer 1