How large of a sample size is required


Assignment

o A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only wants a 0.5% margin of error at a 99% confidence level, what size of sample is needed? When finding the z-value, round it to four decimal places.

o You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 98% confident that you estimate is within 1% of the true population proportion. How large of a sample size is required?

o A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 5% margin of error at a 95% confidence level, what size of sample is needed? When finding the z-value, round it to four decimal places.

o You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.14. You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required?

o You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 81%. You would like to be 99% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

o You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=59.3σ=59.3. You would like to be 99% confident that your estimate is within 5 of the true population mean. How large of a sample size is required?

o You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately σ=60.4σ=60.4 dollars. You would like to be 99% confident that your estimate is within 2.5 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?

Format your assignment according to the following formatting requirements:

o The answer should be typed, using Times New Roman font (size 12), double spaced, with one-inch margins on all sides.

o The response also includes a cover page containing the title of the assignment, the student's name, the course title, and the date. The cover page is not included in the required page length.

o Also include a reference page. The Citations and references must follow APA format. The reference page is not included in the required page length.

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Applied Statistics: How large of a sample size is required
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