If you pay more in tuition to go to a top business​ school, willit necessarily result in a higher probability of a job offer at​graduation? Let y=percentage of graduates with job offers andx=tuition ​cost; then fit the simple linear​model,E(y)=β0+β1x​,

to the data below. Is there sufficient evidence​ (α=0.10 of apositive linear relationship between y and​ x?

School	Annual tuition​ ($)	​% with Job Offer
1	39,738	95
2	39,301	86
3	39,182	92
4	38,731	98
5	38,497	98
6	38,254	91
7	37,946	91
8	37,794	98
9	36,734	91
10	36 comma 14836,148	8585

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

A.H0​: β1s=0

Ha​:β1<0

B. H0​: β0=0

Ha​:β<0

C.H0​: β0=0

Ha​:β0>0

D. HO:β0:=0

Ha​: β0≠0

E. H0​: β1=0

Ha​: β1>0

F. H0​:β1=0

Ha​:β1≠0 .

Find the test statistic.

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

Find the​ p-value.​p-=______________ ​(Round to four decimalplaces as​ needed.)

Make the appropriate conclusion = ALPHA=0.10

Choose the correct answer below.

A.

Do not reject

H0. There is

insufficient

evidence that there exists a positive linear relationshipbetween y and x.

B.

Do not reject

H0.

There is

sufficient

evidence that there exists a positive linear relationshipbetween y and x.

C.

Reject

H0.

There is

insufficienti

evidence that there exists a positive linear relationshipbetween y and x.

D.

Reject

H0.

There is

sufficient

evidence that there exists a positive linear relationshipbetween y and x.

Click to select your answer(s).