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We appreciate your visit to Recent legal changes to marijuana laws have altered the atmosphere in which people utilize the drug Several states have legalized marijuana as a recreational drug. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Recent legal changes to marijuana laws have altered the atmosphere in which people utilize the drug. Several states have legalized marijuana as a recreational drug. Below is hypothetical data on the percentage of users in both states that have legalized marijuana and states that have not. The government desires to know if the law is a deterrent to using the drug and hires you to figure it out. Examine the data and answer the following questions:

**Percentage of Marijuana Users in Legal & Non-Legal Use States**

- **Legal Use States**
- Iowa: 20.5%
- Alabama: 18.2%
- Alaska: 18.2%
- Tennessee: 17.3%
- Utah: 16.8%
- Nevada: 16.3%
- Nebraska: 16.3%
- Wyoming: 15.6%
- North Dakota: 14.2%
- Louisiana: 13.8%
- Arkansas: 13.2%
- Georgia: 12.8%
- Texas: 12.7%
- Kansas: 12.5%
- Virginia: 12%
- South Dakota: 10.9%
- Florida: 9.6%
- Mississippi: 9.3%
- North Carolina: 8.9%
- South Carolina: 5.8%

- **Non-Legal Use States**
- New York: 35.6%
- Michigan: 33.7%
- District of Columbia: 33.4%
- Washington: 32.9%
- Hawaii: 31.5%
- West Virginia: 28.9%
- Illinois: 27.5%
- Oregon: 27.5%
- Ohio: 27.4%
- Pennsylvania: 27%
- Missouri: 26.6%
- California: 25.4%
- Indiana: 25.1%
- Wisconsin: 24.5%
- Minnesota: 24.5%
- Montana: 21.7%
- Kentucky: 20.4%
- Delaware: 20.3%
- New Jersey: 19.9%
- Massachusetts: 19.7%
- Rhode Island: 19.4%
- Connecticut: 18.9%
- Maryland: 18.6%
- Maine: 18.5%
- Colorado: 18%
- Idaho: 16.1%
- Oklahoma: 12.9%
- New Mexico: 12.8%
- New Hampshire: 12.3%
- Vermont: 11.9%

**Questions:**

18. What is the pooled variance?

19. Compute the appropriate statistic.

20. Discuss the findings at \( p < 0.05 \) (same as the 95% confidence level).

Answer :

18. The pooled variance is the weighted average of the variances of two or more groups. However, the data provided in the table does not include information on variances or multiple groups, so it is not possible to calculate the pooled variance.

19. It is not clear what specific statistic is being asked to be computed. Depending on the research question, different statistics could be calculated, such as mean, median, standard deviation, or correlation coefficient.

20. It is not possible to discuss findings at p<.05 (same as the 95% level) without additional information on the research question and the specific statistic being analyzed. In general, a p-value of less than .05 indicates that there is a statistically significant difference between groups or variables, indicating that the observed difference is unlikely to be due to chance. However, without more information on the research question and the specific statistic being analyzed, it is not possible to draw conclusions or discuss findings at this level of significance.

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