The population (in millions) and the violent crime rate (per1000) were recorded for 10 metropolitan areas. The data are shownin the following table. Do these data provide evidence to rejectthe null hypothesis that Ï = 0 in favor of Ï â‰ 0at α = .05? (Give your answers correct to three decimalplaces.)
| Population | 9.7 | 0.2 | 3.2 | 7.2 | 0.5 | 3.7 | 4.8 | 3.3 | 2.2 | 3.5 |
| Crime Rate | 13 | 8.7 | 8.8 | 9.2 | 6.8 | 8.4 | 9.3 | 7 | 7.1 | 6.6 |
(a) Calculate r.
(ii) Calculate the critical region.
(smaller value)
(larger value)
(b) State the appropriate conclusion.
Reject the null hypothesis, there is not significant evidencethat Ï â‰ 0. Reject the null hypothesis, there issignificant evidence that Ï â‰ 0.    Fail to reject the null hypothesis, there is not significantevidence that Ï â‰ 0. Fail to reject the null hypothesis,there is significant evidence that Ï â‰ 0.
