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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 equals percentage of graduates with job offers and x equals tuition cost; then fit the simple linear model, E(y) = B0 + B1 * x , to the data below. Is there sufficient evidence (at alpha = 0.10 ) of a positive linear relationship between y and x?
| School | Annual_tuition ($) | %_with_Job_Offer |
| 1 | 39673 | 92 |
| 2 | 39517 | 81 |
| 3 | 39301 | 93 |
| 4 | 39166 | 96 |
| 5 | 38429 | 88 |
| 6 | 38359 | 91 |
| 7 | 37608 | 96 |
| 8 | 36888 | 96 |
| 9 | 36484 | 82 |
| 10 | 36282 | 89 |
other Questions included;
a) Give the null and alternative hypotheses for testing whether there exists a positive linear relationship between y and x?
b) Find the test statistic. and the P - value
c)
Make the appropriate conclusion at alpha = 0.10. Choose the correct answer below.
A. Reject H0. There is sufficient evidence that there exists a positive linear relationship between y and x.
B. Do not reject H0. There is sufficient evidence that there exists a positive linear relationship between y and x.
C. Reject H0. There is insufficient 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.