Hypothetical Scenario:
You are working for the NYS Division of Criminal Justice Services (DCJS). DCJS is interested in knowing what percentage of states have active restorative justice programs. Because of budget constraints, you are not able to ask each state government and must therefore rely on a sample. You, as the most knowledgeable researcher, are asked to select a sample of 25 states from the list on the back.
Include the following information in your typed write-up:
- The name of the probability sampling technique you have decided to use. (1 point)
- State exactly the method employed to select the sample of 25 states. If you are using excel or google, provide the printout showing your work. (3 points)
- Provide a list of the 25 states in your sample. (1 point)
- (Warning: Hypothetical figures are being used. DO NOT take this to be the actual situation.)
You conduct the survey by asking the state governments in your sample if they have active restorative justice programs. Seventy-three percent (73%) of your sample indicated that they have a program. DCJS is interested in knowing how confident you are about generalizing this estimate to the population of all states. (Caution: Our example violates a number of assumptions for the binomial standard error equation and corrections or weights should be applied.)
a. Calculate the standard error to 2 decimal points. (2 points)
b. What is the confidence level for two standard errors? (1 point)
c. Calculate the confidence interval for two standard errors and provide a statement explaining the interval? (2 points)
Deep South and Mid-South South Central and Southwest
- Alabama
- Arkansas
- Florida
- Kansas
- Georgia
- Missouri
- Louisiana
- Oklahoma
- Mississippi
- Texas
- Kentucky
- Arizona
- North Carolina
- Colorado
- South Carolina
- Nevada
- Tennessee
- New Mexico
- Virginia
- Utah
Mid-Atlantic and New England Great Lakes and Upper Plains
- Delaware
- Illinois
- Maryland
- Indiana
- New Jersey
- Michigan
- New York
- Ohio
- Pennsylvania
- Wisconsin
- West Virginia
- Iowa
- Connecticut
- Minnesota
- Maine
- Nebraska
- Massachusetts
- North Dakota
- New Hampshire
- South Dakota
- Rhode Island
- Vermont
Northwest and Pacific West
- Idaho
- Montana
- Oregon
- Washington
- Wyoming
- Alaska
- California
- Hawaii
Sample Solution