7:47 1 recent poll of 2200 randomly selected 18-25- year-olds revealed that 255 currently use marijuana or hashish. According to a publication, 12.7 % of 18-25- year-olds were current users of marijuana or hashish in 1997. Do the data provide sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.7%? Use a = 0.01 significance level. test statistic Z = positive critical z score negative critical z score The final conclusion is A. There is sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.7%. B. There is not sufficient evidence to conclude that

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### Analysis of Marijuana and Hashish Use Among 18-25 Year-Olds

A recent poll surveyed 2200 randomly selected 18-25-year-olds, revealing that 255 individuals currently use marijuana or hashish. According to a previous publication, in 1997, 12.7% of 18-25-year-olds were current users of marijuana or hashish. 

The objective is to determine if there is sufficient evidence to conclude that the percentage of current users has changed from the 1997 percentage of 12.7%. A significance level of α = 0.01 is used for this analysis.

#### Statistical Analysis

1. **Calculate the Test Statistic (z):**
   \[
   \text{test statistic } z = \boxed{}
   \]

2. **Determine the Critical z Scores:**
   - Positive critical z score: \(\boxed{}\)
   - Negative critical z score: \(\boxed{}\)

#### Conclusion

Based on the calculated test statistic and the critical z scores, choose the appropriate conclusion below:

- \( \circ \) **A.** There is sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.7%.
- \( \circ \) **B.** There is not sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.7%.

The statistical testing methodology as well as interpretation of results are crucial elements in this analysis.

---

**Note:** Ensure to complete the calculation of the test statistic \( z \) and identify the critical z scores to reach a final conclusion based on the hypothesis test.
Transcribed Image Text:### Analysis of Marijuana and Hashish Use Among 18-25 Year-Olds A recent poll surveyed 2200 randomly selected 18-25-year-olds, revealing that 255 individuals currently use marijuana or hashish. According to a previous publication, in 1997, 12.7% of 18-25-year-olds were current users of marijuana or hashish. The objective is to determine if there is sufficient evidence to conclude that the percentage of current users has changed from the 1997 percentage of 12.7%. A significance level of α = 0.01 is used for this analysis. #### Statistical Analysis 1. **Calculate the Test Statistic (z):** \[ \text{test statistic } z = \boxed{} \] 2. **Determine the Critical z Scores:** - Positive critical z score: \(\boxed{}\) - Negative critical z score: \(\boxed{}\) #### Conclusion Based on the calculated test statistic and the critical z scores, choose the appropriate conclusion below: - \( \circ \) **A.** There is sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.7%. - \( \circ \) **B.** There is not sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.7%. The statistical testing methodology as well as interpretation of results are crucial elements in this analysis. --- **Note:** Ensure to complete the calculation of the test statistic \( z \) and identify the critical z scores to reach a final conclusion based on the hypothesis test.
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