Public Policy and Political Science
The Dallas, Texas, city council is going to consider a zoning variance for the Estates on Frankford apartment complex so that the developer may extend the structure closer to the nearest road. Some council members are concerned about safety, but they will vote for the measure if more than 60% of all city residents favor the variance. A random sample of residents will be obtained and asked whether they favor the zoning variance. Let p be the true proportion of residents who favor the extended structure.
a. State the null and alternative hypotheses in terms of p.
b. Describe a type I error and a type II error in this context.
c. Which error is more serious for the developer? Why?
d. Which error is more serious for the city council members? Why?