You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 60%. You would like to be 98% confident that your estimate is within 2.5% of the true population proportion. How large of a sample size is required? Hint: Video [+] n =

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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**Population Proportion Sample Size Estimation**

To estimate a population proportion with a required level of confidence, a proper sample size is essential. Here's a practical scenario for understanding this concept:

**Scenario:**

You aim to determine the necessary sample size for estimating a population proportion. Based on prior data, you believe the proportion is around 60%. You wish to achieve 98% confidence that your estimate is within 2.5% of the true population proportion. The question is, what sample size is required?

**Solution Guide:**

1. **Hint:** A video link is available to guide you through the process of calculating the sample size.

2. **Formula Input Area:**
   - There is a box labeled "n =" where you can input the calculated sample size.

3. **Submit:** Once you've determined your estimated sample size, click "Submit Question."

**Note:** Understanding how confidence intervals, margin of error, and proportion estimates interact will significantly help in solving such problems.

This exercise helps reinforce statistical estimation skills crucial for accurate data analysis in research.
Transcribed Image Text:**Population Proportion Sample Size Estimation** To estimate a population proportion with a required level of confidence, a proper sample size is essential. Here's a practical scenario for understanding this concept: **Scenario:** You aim to determine the necessary sample size for estimating a population proportion. Based on prior data, you believe the proportion is around 60%. You wish to achieve 98% confidence that your estimate is within 2.5% of the true population proportion. The question is, what sample size is required? **Solution Guide:** 1. **Hint:** A video link is available to guide you through the process of calculating the sample size. 2. **Formula Input Area:** - There is a box labeled "n =" where you can input the calculated sample size. 3. **Submit:** Once you've determined your estimated sample size, click "Submit Question." **Note:** Understanding how confidence intervals, margin of error, and proportion estimates interact will significantly help in solving such problems. This exercise helps reinforce statistical estimation skills crucial for accurate data analysis in research.
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