What Influences the Sample Size? We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion. Find the sample size needed to give, with 99% confidence, a margin of error within +5% when estimating a proportion. First, find the sample size needed if we have no prior knowledge about the population proportion p. Then find the sample size needed if we have reason to believe that p a 0.7. Finally, find the sample size needed if we assume p 2 0.9. Round your answers up to the nearest integer. Population proportion Sample Size No knowledge: i 0.7: i 0.9: i

MATLAB: An Introduction with Applications
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**What Influences the Sample Size?**

We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion.

Find the sample size needed to give, with 99% confidence, a margin of error within ±5% when estimating a proportion. First, find the sample size needed if we have no prior knowledge about the population proportion \( p \). Then find the sample size needed if we have reason to believe that \( p \approx 0.7 \). Finally, find the sample size needed if we assume \( p \approx 0.9 \).

Round your answers up to the nearest integer.

| Population proportion | Sample Size |
|-----------------------|-------------|
| No knowledge:         | [ Input ]   |
| 0.7 :                 | [ Input ]   |
| 0.9 :                 | [ Input ]   |
Transcribed Image Text:**What Influences the Sample Size?** We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion. Find the sample size needed to give, with 99% confidence, a margin of error within ±5% when estimating a proportion. First, find the sample size needed if we have no prior knowledge about the population proportion \( p \). Then find the sample size needed if we have reason to believe that \( p \approx 0.7 \). Finally, find the sample size needed if we assume \( p \approx 0.9 \). Round your answers up to the nearest integer. | Population proportion | Sample Size | |-----------------------|-------------| | No knowledge: | [ Input ] | | 0.7 : | [ Input ] | | 0.9 : | [ Input ] |
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