6. The city of Pasadena is trying to decide what to bulld on an empty lot. Councilmen and women believe the residents in the age group 25−45 years old would prefer a park over commercial use more than residents in the 46−65 years old age group. In a random sample of 360 people from the younger group, 216 prefer a park to be built on the empty lot. In a sample of 540 from the older group, 270 prefer a park to be built on the empty lot. Use a 0.02 significance level to test the city of Pasadens's claim that the percentage of younger people who are in favor of a park is more than the percentage of older people.
(a) Null \& Alternative Hypothesis
(b) Test Statistic
(c) Use the P Value OR the Critical Region method (Circle your choice)
(d) Reject H_0 or Fail to Reject H_0?
(e) State the conclusion in a complete sentence