2. Is there a relationship at a = 0.01 between the size of a college/university and the number of property crimes committed? The following data is from a sample of 9 universities in California: Student enrollment (1000s) Annual burglary amounts 12.5 30 24.5 14.3 7.5 27.7 16.2 20.1 13.5 21 73 39 23 15 30 15 27 19

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Write the claim and the null and the alternate hypotheses. 2. Identify α. 3. Draw a distribution to represent it and identify the critical value(s). 4. Write the inequality that identifies the rejection area(s). 5. Find the test statistic, p-value, and the correlation coefficient. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim in context with the problem.
### Analysis of Relationship Between University Size and Property Crimes

#### Objective:
To determine if there is a significant relationship at α = 0.01 between the size of a university and the number of property crimes committed.

#### Data Sample:
The data is taken from a sample of 9 universities in California, indicating student enrollment and annual burglary amounts.

#### Table:
| Student Enrollment (1000s) | 12.5 | 30  | 24.5 | 14.3 | 7.5 | 27.7 | 16.2 | 20.1 | 13.5 |
|---------------------------|------|-----|------|------|-----|------|------|------|------|
| Annual Burglary Amounts   | 21   | 73  | 39   | 23   | 15  | 30   | 15   | 27   | 19   |

#### Explanation:
- **Student Enrollment (1000s):** Represents the number of students enrolled in thousands at each university.
- **Annual Burglary Amounts:** Indicates the number of burglaries reported annually at each university. 

This data can be used to perform statistical analysis to examine correlations or causal relationships, and determine whether university size affects the prevalence of property crimes.
Transcribed Image Text:### Analysis of Relationship Between University Size and Property Crimes #### Objective: To determine if there is a significant relationship at α = 0.01 between the size of a university and the number of property crimes committed. #### Data Sample: The data is taken from a sample of 9 universities in California, indicating student enrollment and annual burglary amounts. #### Table: | Student Enrollment (1000s) | 12.5 | 30 | 24.5 | 14.3 | 7.5 | 27.7 | 16.2 | 20.1 | 13.5 | |---------------------------|------|-----|------|------|-----|------|------|------|------| | Annual Burglary Amounts | 21 | 73 | 39 | 23 | 15 | 30 | 15 | 27 | 19 | #### Explanation: - **Student Enrollment (1000s):** Represents the number of students enrolled in thousands at each university. - **Annual Burglary Amounts:** Indicates the number of burglaries reported annually at each university. This data can be used to perform statistical analysis to examine correlations or causal relationships, and determine whether university size affects the prevalence of property crimes.
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