Question

An article in a reputable journal discussed several data collection methods for testing the efficacy of a new program designed to reduce​drug-related crimes in a city. The sample consisted of 56​ "hot ​spots"long dash—areas of the city with a high crime rate but not necessarily a high drug crime rate. In Method​ 1, the new program will be implemented in half of the 56 hot spots​ (selected at​ random); the other half will not implement the program​ (the "no​ treatment" group). In Method​ 2, the 56 hot spots will be divided into four groups based on the level of drug crimeslong dash—very high drug crime rate​ (10 hot​ spots), high rate​ (8 hot​ spots), moderate rate​ (26 hot​ spots), and low rate​ (12 hot​ spots). In each​group, half the hot spots will be randomly assigned the new crime prevention program and the other half no treatment. For both​ methods, after several weeks the crime rates in the hot spots where the program was implemented will be compared with those with no treatment. Complete parts a through d below.

a. Identify the data collection method for Method 1. Choose the correct answer below.

1. A.Published source
2. B.Designed experiment
3. C.Random sample
4. D.Observational study

b. Identify the data collection method for Method 2. Choose the correct answer below.

1. A.Observational study
2. B.Random sample
3. C.Designed experiment
4. D.Published source

c. Is this an application of descriptive or inferential​ statistics? Explain.

1. A.t is an application of descriptive statistics because it utilizes sample data to make a generalization about a larger set of​ data, drug crime rate.
2. B.It is an application of inferential statistics because it utilizes numerical and graphical methods to look for patterns in a data​ set, drug crime rate.
3. C.It is an application of inferential statistics because it utilizes sample data to make a generalization about a larger set of​ data, drug crime rate.
4. D.It is an application of descriptive statistics because it utilizes numerical and graphical methods to look for patterns in a data​ set, drug crime rate.

d. Given that there is a great deal of variation in the drug crime rates at the 56 hot​ spots, which data collection method do you​ recommend? Explain.

1. A.Recommend Method 2 since it divides the hot spots based on the level of drug crimes.
2. B.Recommend Method 2 since more of the overall population will be in the treatment​ group, which will help to show where the variability lies.
3. C.Recommend Method 1 since it does not divide the hot spots into​ subgroups, which means the results will suppress the variability in the drug crime rates.
4. D.Recommend Method 1 since more of the overall population will be in the treatment​ group, which will help to show where the variability lies.

Answer 1

Answer:

1) Option C. Random Sample

Here Simple Random Sampling method is used

2) Option C. Random Sample

Here Stratified Random Sampling method is used

3) Option C

It is an application of inferential statistics because it utilizes sample data to make a generalization about a larger set of​ data, drug crime rate.

4) Option A

Recommend Method 2 since it divides the hot spots based on the level of drug crimes