The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total enrollment; police, employed officers. Use the estimated OLS models to answer the questions below: Model A: In(crime) = -6.631 + 1.270ln(enroll), (1.034) (.110) .5804 n = 97; R² = Model B: In(crime) = -4.794+.923ln(enroll) +.516ln(police), (.144) (.149) (1.112) n = 97; R² = .632 Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). What is the conclusion of your test using a significance level of .01? Reject Fail to reject O Not enough information.

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The data used is from college campuses. The variables used in the analysis below include: **crime**, total campus crime; **enroll**, total enrollment; **police**, employed officers. Use the estimated OLS models to answer the questions below:

### Model A:

\[
ln(\hat{crime}) = -6.631 + 1.270 ln(enroll),
\]

\[
(1.034) \quad (0.110)
\]

\( n = 97; \, R^2 = 0.5804 \)

### Model B:

\[
ln(\hat{crime}) = -4.794 + 0.923 ln(enroll) + 0.516 ln(police),
\]

\[
(1.112) \quad (0.144) \quad (0.149)
\]

\( n = 97; \, R^2 = 0.632 \)

**Hypothesis Test:**

Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). 

**What is the conclusion of your test using a significance level of 0.01?**

- [ ] Reject
- [ ] Fail to reject
- [ ] Not enough information
Transcribed Image Text:The data used is from college campuses. The variables used in the analysis below include: **crime**, total campus crime; **enroll**, total enrollment; **police**, employed officers. Use the estimated OLS models to answer the questions below: ### Model A: \[ ln(\hat{crime}) = -6.631 + 1.270 ln(enroll), \] \[ (1.034) \quad (0.110) \] \( n = 97; \, R^2 = 0.5804 \) ### Model B: \[ ln(\hat{crime}) = -4.794 + 0.923 ln(enroll) + 0.516 ln(police), \] \[ (1.112) \quad (0.144) \quad (0.149) \] \( n = 97; \, R^2 = 0.632 \) **Hypothesis Test:** Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). **What is the conclusion of your test using a significance level of 0.01?** - [ ] Reject - [ ] Fail to reject - [ ] Not enough information
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