4. The Department of the Treasury is interested in finding out what proportion of people support abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed...

Hello can you answer 5a, 5B, 5C, and I know you can answer 5D but if you could please because its hard for people to get the question without a,b, and c if not that's okay thank you

Extracted text: 4. The Department of the Treasury is interested in finding out what proportion of people support abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed in order to obtain the result with a 2% margin of error and 95% confidence? 5. A researcher is interested in constructing a confidence interval for the number of hours per week a typical person watches TV. Initial results indicate that the standard deviation is s = 7.5 hours. a) How large a sample is required to obtain a 95% confidence interval with a margin of error of 2 hours? b) How large a sample is required to obtain a 95% confidence interval with a margin of error of 1 hour? c) How large a sample is required to obtain a 99% confidence interval with a margin of error of 1 hour? d) Notice that to get smaller error and/or higher confidence, you need a larger sample. This result is an example of which important Law?