Solved

The Serious Delinquency Rate Measures the Proportion of Homes That

question 22

Essay

The serious delinquency rate measures the proportion of homes that are well behind on their mortgage payments. A real estate investor is trying to decide in which of two neighborhoods in Phoenix to buy an investment property. He is trying to decide if the serious delinquency rate differs between the two neighborhoods. He took a sample of 70 homes in neighborhood 1 and found 14 homes were seriously delinquent. He took a sample of 80 homes in neighborhood 2 and 10 homes were seriously delinquent.
A) Specify the competing hypotheses to determine if the delinquency rates in the two neighborhoods are equal.
B) Calculate the value of the test statistic and the p-value.
C) Make a conclusion at the 10% significance level. How should the delinquency rate influence the investor's decision?

Definitions:

U.S. Army

The land warfare service branch of the United States Armed Forces, responsible for land-based military operations.

National Resources Planning Board

A U.S. government agency active during the 1930s and early 1940s, part of the New Deal, that conducted research and planning regarding the use of natural resources.

Keynesian Economics

An economic theory stating that government intervention through monetary and fiscal policies is necessary to manage economic cycles and stimulate economic growth.

Laissez-Faire

An economic philosophy advocating for minimal government intervention in business and the economy.