average American consumes 100 liters of alc erent amount of alcohol per year? A researche d that they averaged 86 liters of alcohol con t can be concluded at the the a= 0.05 level ■. For this study, we should use Select an ans . The null and alternative hypotheses would Ho: ? Select an answer ✓ H₁: ? Select an answer ✓ - The test statistic ? ✓ = (please

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**Title: Hypothesis Testing on Alcohol Consumption**

The average American consumes 100 liters of alcohol per year. Researchers surveyed 75 randomly selected college students and found that the average college student consumes a different amount of alcohol per year, with a standard deviation of 16 liters. What can be concluded at the 0.05 level of significance?

**Steps for Hypothesis Testing:**

a. **Study Type**: Select the appropriate test for this study.
b. **Hypotheses**: Define null (H₀) and alternative (H₁) hypotheses.

**Hypotheses Format**:
- H₀ (Null Hypothesis): The population mean amount of alcohol consumed by college students is not significantly different from 100 liters per year.
- H₁ (Alternative Hypothesis): The population mean amount of alcohol consumed by college students is significantly different from 100 liters per year.

c. **Test Statistic (Z or t)**: Calculate the test statistic value rounded to three decimal places.
d. **p-value**: Determine the p-value from the test statistic.
e. **Decision**: Compare the p-value with α (0.05) to decide whether to reject or fail to reject the null hypothesis.

**Conclusion**:
Based on the statistical evidence, determine whether there is significant evidence to conclude that college students’ average alcohol consumption differs from the standard population mean of 100 liters per year.

**Options**:
- If there is no significant evidence of difference at α = 0.05, do not reject the null hypothesis.
- If there is significant evidence of difference at α = 0.05, reject the null hypothesis.
Transcribed Image Text:**Title: Hypothesis Testing on Alcohol Consumption** The average American consumes 100 liters of alcohol per year. Researchers surveyed 75 randomly selected college students and found that the average college student consumes a different amount of alcohol per year, with a standard deviation of 16 liters. What can be concluded at the 0.05 level of significance? **Steps for Hypothesis Testing:** a. **Study Type**: Select the appropriate test for this study. b. **Hypotheses**: Define null (H₀) and alternative (H₁) hypotheses. **Hypotheses Format**: - H₀ (Null Hypothesis): The population mean amount of alcohol consumed by college students is not significantly different from 100 liters per year. - H₁ (Alternative Hypothesis): The population mean amount of alcohol consumed by college students is significantly different from 100 liters per year. c. **Test Statistic (Z or t)**: Calculate the test statistic value rounded to three decimal places. d. **p-value**: Determine the p-value from the test statistic. e. **Decision**: Compare the p-value with α (0.05) to decide whether to reject or fail to reject the null hypothesis. **Conclusion**: Based on the statistical evidence, determine whether there is significant evidence to conclude that college students’ average alcohol consumption differs from the standard population mean of 100 liters per year. **Options**: - If there is no significant evidence of difference at α = 0.05, do not reject the null hypothesis. - If there is significant evidence of difference at α = 0.05, reject the null hypothesis.
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