An article in Engineering Horizons (Spring 1990, p. 26) reported that 117 of 484 new engineering graduates were planning to continue studying for an advanced degree. Consider this as a random sample of the 1990 graduating class. Round your answers to 3 decimal places. (a) Find a 90% confidence interval on the proportion of such graduates planning to continue their education. i
An article in Engineering Horizons (Spring 1990, p. 26) reported that 117 of 484 new engineering graduates were planning to continue studying for an advanced degree. Consider this as a random sample of the 1990 graduating class. Round your answers to 3 decimal places. (a) Find a 90% confidence interval on the proportion of such graduates planning to continue their education. i
A First Course in Probability (10th Edition)
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![**Confidence Interval Analysis for Engineering Graduates' Further Education Plans**
An article in *Engineering Horizons* (Spring 1990, p. 26) reported that 117 out of 484 new engineering graduates were planning to continue studying for an advanced degree. Consider this as a random sample of the 1990 graduating class.
**Objective:** Determine the confidence intervals for the proportion of graduates planning to continue their education.
1. **Find a 90% confidence interval on the proportion of such graduates planning to continue their education.**
\[
\text{Lower Bound} \leq p \leq \text{Upper Bound}
\]
2. **Find a 99% confidence interval on the proportion of such graduates planning to continue their education.**
\[
\text{Lower Bound} \leq p \leq \text{Upper Bound}
\]
3. **The 90% confidence interval is** [Dropdown Menu] **the 99% confidence interval.**
**Instructions:**
- Round your answers to 3 decimal places.
- Calculate using appropriate statistical methods for confidence intervals.
This exercise is designed to familiarize students with the application of confidence intervals in real-world scenarios involving statistical analysis of sample data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F453530fe-df7b-40e0-87f7-364c227f8f51%2Fa885b5f0-43d9-4d11-91f8-10e6966ac9d4%2F8winsbg_processed.png&w=3840&q=75)
Transcribed Image Text:**Confidence Interval Analysis for Engineering Graduates' Further Education Plans**
An article in *Engineering Horizons* (Spring 1990, p. 26) reported that 117 out of 484 new engineering graduates were planning to continue studying for an advanced degree. Consider this as a random sample of the 1990 graduating class.
**Objective:** Determine the confidence intervals for the proportion of graduates planning to continue their education.
1. **Find a 90% confidence interval on the proportion of such graduates planning to continue their education.**
\[
\text{Lower Bound} \leq p \leq \text{Upper Bound}
\]
2. **Find a 99% confidence interval on the proportion of such graduates planning to continue their education.**
\[
\text{Lower Bound} \leq p \leq \text{Upper Bound}
\]
3. **The 90% confidence interval is** [Dropdown Menu] **the 99% confidence interval.**
**Instructions:**
- Round your answers to 3 decimal places.
- Calculate using appropriate statistical methods for confidence intervals.
This exercise is designed to familiarize students with the application of confidence intervals in real-world scenarios involving statistical analysis of sample data.
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