that they did. What is the 90% confidence interval for the true proportion of TWU alum who engaged in underaged drinking when in college? Enter your answers accurate to two decimal places but do not round until the end of the problem. The correct interpretation of the confidence interval is that we are 90% confident that the interval contains the Select an answer v of Select an answer TWU alum who engaged in underaged drinking when in college. Can we conclude that the proportion of all TWU alum who engaged in underaged drinking when in college is less than 0.57? Justify your answer. Yes; the entire interval does not agree with this claim. O No; the entire interval agrees with this claim. ONo; the entire interval does not agree with this claim. O Yes; the entire interval agrees with this claim. Choose the best response that discusses the validity of your results. Questionable - there is likely to be some nonresponse bias Questionable - there is likely to be some response bias Questionable - the sample size is less than 30 Valid - the sampling methodology is good and there are at least 5 successes and 5 failures

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### Confidence Interval Analysis for Underage Drinking Study

#### Question
We randomly selected 29 TWU alumni and asked them if they ever drank underage while in college. 12 said that they did. What is the 90% confidence interval for the true proportion of TWU alumni who engaged in underage drinking while in college? Enter your answers accurate to two decimal places but do not round until the end of the problem.

\[ ( \_\_\_\_\_ , \_\_\_\_\_ ) \]

#### Interpretation
The correct interpretation of the confidence interval is that we are 90% confident that the interval contains the \[ \_\_\_\_\_\_\_\_ \] of \[ \_\_\_\_\_\_\_\_\_\_\_ \] TWU alumni who engaged in underage drinking while in college.

#### Conclusion
Can we conclude that the proportion of all TWU alumni who engaged in underage drinking while in college is less than 0.57? Justify your answer.

- [ ] Yes; the entire interval does not agree with this claim.
- [ ] No; the entire interval agrees with this claim.
- [ ] No; the entire interval does not agree with this claim.
- [ ] Yes; the entire interval agrees with this claim.

#### Validity of Results
Choose the best response that discusses the validity of your results.

- [ ] Questionable — there is likely to be some nonresponse bias.
- [ ] Questionable — there is likely to be some response bias.
- [ ] Questionable — the sample size is less than 30.
- [ ] Valid — the sampling methodology is good and there are at least 5 successes and 5 failures.

[Submit Question]

---

This passage is designed to help students understand how to construct, interpret, and draw conclusions from confidence intervals in statistical studies, specifically in surveys about behaviors such as underage drinking. This includes determining the validity of the data collected based on sample size and potential biases.
Transcribed Image Text:--- ### Confidence Interval Analysis for Underage Drinking Study #### Question We randomly selected 29 TWU alumni and asked them if they ever drank underage while in college. 12 said that they did. What is the 90% confidence interval for the true proportion of TWU alumni who engaged in underage drinking while in college? Enter your answers accurate to two decimal places but do not round until the end of the problem. \[ ( \_\_\_\_\_ , \_\_\_\_\_ ) \] #### Interpretation The correct interpretation of the confidence interval is that we are 90% confident that the interval contains the \[ \_\_\_\_\_\_\_\_ \] of \[ \_\_\_\_\_\_\_\_\_\_\_ \] TWU alumni who engaged in underage drinking while in college. #### Conclusion Can we conclude that the proportion of all TWU alumni who engaged in underage drinking while in college is less than 0.57? Justify your answer. - [ ] Yes; the entire interval does not agree with this claim. - [ ] No; the entire interval agrees with this claim. - [ ] No; the entire interval does not agree with this claim. - [ ] Yes; the entire interval agrees with this claim. #### Validity of Results Choose the best response that discusses the validity of your results. - [ ] Questionable — there is likely to be some nonresponse bias. - [ ] Questionable — there is likely to be some response bias. - [ ] Questionable — the sample size is less than 30. - [ ] Valid — the sampling methodology is good and there are at least 5 successes and 5 failures. [Submit Question] --- This passage is designed to help students understand how to construct, interpret, and draw conclusions from confidence intervals in statistical studies, specifically in surveys about behaviors such as underage drinking. This includes determining the validity of the data collected based on sample size and potential biases.
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