1. Given a sample with p =.43 and n 36. Estimate the population proportion with 99% of confidence level.

MATLAB: An Introduction with Applications
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1. **Given a sample with \(\hat{p} = 0.43\) and \(n = 36\).**
   *Estimate the population proportion with 99% confidence level.*

2. **Given a sample with \(s = 8.5\) and \(n = 21\).**
   *Estimate the population standard deviation with 90% confidence level.*

3. **Given a sample of size \(n = 15\) with \(\bar{x} = 12.5\), \(s = 2.9\).**
   *Estimate the population mean with 95% confidence level.*

4. **Given a population proportion \(p = 0.85\). A sample size with \(x = 88\) and \(n = 100\).**
   *Test if the population proportion \(p > 0.85\) at \(\alpha = 0.01\) level of significance.*

5. **Given a population standard deviation \(\sigma = 0.42\). A sample size \(n = 16\) with \(s = 0.65\).**
   *Test if population \(\sigma > 0.42\) at \(\alpha = 0.05\) level of significance.*
Transcribed Image Text:1. **Given a sample with \(\hat{p} = 0.43\) and \(n = 36\).** *Estimate the population proportion with 99% confidence level.* 2. **Given a sample with \(s = 8.5\) and \(n = 21\).** *Estimate the population standard deviation with 90% confidence level.* 3. **Given a sample of size \(n = 15\) with \(\bar{x} = 12.5\), \(s = 2.9\).** *Estimate the population mean with 95% confidence level.* 4. **Given a population proportion \(p = 0.85\). A sample size with \(x = 88\) and \(n = 100\).** *Test if the population proportion \(p > 0.85\) at \(\alpha = 0.01\) level of significance.* 5. **Given a population standard deviation \(\sigma = 0.42\). A sample size \(n = 16\) with \(s = 0.65\).** *Test if population \(\sigma > 0.42\) at \(\alpha = 0.05\) level of significance.*
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