Use alpha level of 0.05. You want to know if there is a positive association bet
ID: 3052537 • Letter: U
Question
Use alpha level of 0.05. You want to know if there is a positive association between state poverty level and state murder rate. You take a random sample of 10 US states and determine each state’s poverty rate (the percentage of people in the state living below the poverty level) and murder rate (the number of homicides reported for every 100,000 population members). You come up with the following data:
State
Poverty Rate
Murder Rate
Arizona
16.5
5.5
California
14.2
5.4
Florida
14.9
5.5
Maine
12.3
2
Maryland
9.1
7.7
Michigan
16.2
6.3
New York
14.2
4
Pennsylvania
12.5
5.4
South Carolina
17.1
6.7
Texas
17.3
5.4
What is the independent variable?
What is the level of measurement of the independent variable?
What is the dependent variable?
What is the level of measurement of the dependent variable?
Since we want to know whether there is an association between these two variables, which test statistic should we calculate?
Calculate your test statistic for the association between the poverty rate and murder rate. What is the value of the test statistic?
Provide an interpretation of the test statistic.
Do the sample data provide sufficient evidence with which to conclude that a real association exists in the population of US states? Explain your answer (in your explanation include whether you used a one- or two-tailed test, what your critical value was, and how your decision was made).
State
Poverty Rate
Murder Rate
Arizona
16.5
5.5
California
14.2
5.4
Florida
14.9
5.5
Maine
12.3
2
Maryland
9.1
7.7
Michigan
16.2
6.3
New York
14.2
4
Pennsylvania
12.5
5.4
South Carolina
17.1
6.7
Texas
17.3
5.4
Explanation / Answer
Here we are looking to find association between Poverty rate and Murder rate. Which means we need to find is there any relation between poverty and murder, do murders are affected by poverty
An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. A dependent variable is the variable being tested and measured in a scientific
Hence poverty rate is independent variable
All percentages and proportions are ratio because we start out with ratio measurements to derive them. Hence it is Ratio level of measurement
Dependent variable is murder rate
This is also ratio level of measurement
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