Inferential Statistics And Findings Using The Research Quest
Inferential Statistics And Findingsusingthe Research Question And Two
Inferential Statistics and Findings Using the research question and two variables your learning team developed for the Week 2 Business Research Project Part 1 assignment, create a no more than 350-word inferential statistics (hypothesis test). Include: (a) The research question (b) Mock data for the independent and dependent variables Determine the appropriate statistical tool to test the hypothesis based on the research question. Conduct a hypothesis test with a 95% confidence level, using the statistical tool. Interpret the results and provide your findings. Format your paper consistent with APA guidelines.
Paper For Above instruction
Research Question: Is there a statistically significant correlation between alcohol tax rates and the number of drunken driving accidents?
To explore this research question, a correlation analysis was conducted using mock data. The independent variable was the alcohol tax rate, and the dependent variable was the number of drunken driving accidents. The data was generated for 30 municipalities, with tax rates ranging from 10% to 30%, and accidents reported ranged from 50 to 200 incidents.
Mock data for alcohol tax rates and accidents:
| Tax Rate (%) | Number of Accidents |
|---|---|
| 10 | 200 |
| 12 | 180 |
| 14 | 160 |
| 16 | 140 |
| 18 | 130 |
| 20 | 120 |
| 22 | 100 |
| 24 | 90 |
| 26 | 80 | 28 | 60 | 30 | 50 |
> Using statistical software, a Pearson correlation coefficient (r) was calculated to measure the strength and direction of the association between alcohol tax rates and accidents. The correlation coefficient was found to be r = -0.985, indicating a strong negative correlation: as the alcohol tax rate increases, the number of drunken driving accidents decreases.
> To test the significance of this correlation at a 95% confidence level, a hypothesis test was performed. The null hypothesis (H0): There is no correlation between alcohol tax rate and accidents; the alternative hypothesis (H1): There is a significant correlation. Using the critical value for Pearson's r with n = 30 (degrees of freedom = 28), the critical r value is approximately ±0.361. The calculated r of -0.985 exceeds this threshold in magnitude, and the p-value computed is less than 0.001, which is below the significance level of 0.05.
> Therefore, the null hypothesis is rejected. There is statistically significant evidence to suggest a strong negative correlation between alcohol tax rates and the number of drunken driving accidents. These findings imply that increasing alcohol taxes could effectively reduce alcohol-related traffic incidents, aligning with policies aimed at public safety and health.
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