According to a publication, 13.9% of 18 to 25-year-olds were users of marijuana in 2000. A recent poll of 1366 randomly selected 18 to 25-year-olds revealed that 221 currently use marijuana. At the 1% significance level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 13.9%? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure. What are the hypotheses for the one-proportion z-test? Họ: p=: H3 p I (Type integers or decimals.) What is the test statistic? z= (Round to two decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) What is the correct conclusion for the hypothesis test? O A. Do not reject Ho; the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%. O B. Reject Ho; the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%. O C. Reject Ho; the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%. O D. Do not reject Hg; the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%.

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**Hypothesis Testing on Marijuana Use Among 18 to 25-Year-Olds**

According to a publication, 13.9% of 18 to 25-year-olds used marijuana in 2000. A recent poll of 1366 randomly selected 18 to 25-year-olds revealed that 221 currently use marijuana. At the 1% significance level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 13.9%? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure.

**Hypotheses for the One-Proportion Z-Test:**

\( H_0: p = \) [ ]

\( H_a: p \neq \) [ ]  
(Type integers or decimals.)

**Test Statistic:**

\[ z = \] [ ]  
(Round to two decimal places as needed.)

**Identify the P-value:**

The P-value is [ ]  
(Round to four decimal places as needed.)

**Conclusion for the Hypothesis Test:**

- A. Do not reject \( H_0 \); the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%.

- B. **Reject \( H_0 \); the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%.**

- C. Reject \( H_0 \); the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%.

- D. Do not reject \( H_0 \); the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%.
Transcribed Image Text:**Hypothesis Testing on Marijuana Use Among 18 to 25-Year-Olds** According to a publication, 13.9% of 18 to 25-year-olds used marijuana in 2000. A recent poll of 1366 randomly selected 18 to 25-year-olds revealed that 221 currently use marijuana. At the 1% significance level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 13.9%? Use the one-proportion z-test to perform the appropriate hypothesis test, after checking the conditions for the procedure. **Hypotheses for the One-Proportion Z-Test:** \( H_0: p = \) [ ] \( H_a: p \neq \) [ ] (Type integers or decimals.) **Test Statistic:** \[ z = \] [ ] (Round to two decimal places as needed.) **Identify the P-value:** The P-value is [ ] (Round to four decimal places as needed.) **Conclusion for the Hypothesis Test:** - A. Do not reject \( H_0 \); the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%. - B. **Reject \( H_0 \); the data do provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%.** - C. Reject \( H_0 \); the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%. - D. Do not reject \( H_0 \); the data do not provide sufficient evidence to conclude that the percentage who currently use marijuana has changed from 13.9%.
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