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=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 alpha=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	37,071	86
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​: β1=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

F. H0​: β0=0

Ha​: β0≠0

Answer 1