Health Medical Homework Help

Discussion Overview

Review the discussion requirements.

Sample statistics, such as the sample mean or the sample proportion, can be used to estimate a population parameter (such as the population mean or the population proportion). For example, you can estimate the true mean weight of all full-term newborn babies in the entire world by collecting a sample and using that sample to generate a 95% confidence interval.

Because the sample is a relatively small portion of the entire population, errors will have to be considered. Using a sample to create a range or interval of values that estimates a population value is called a “confidence interval.”

The general “confidence interval” formula is:

(sample statistic – E) < population parameter < (sample statistic + E)

To calculate a confidence interval, the margin of error (E) must first be calculated.

The margin of error, E, for means is: E=1.96sn√$$ where s is the sample standard deviation and n is the sample size.

The margin of error, E, for a 95% confidence interval for proportions is: E=1.96pˆ(1−pˆ)n‾‾‾‾‾‾√$$ where pˆ$$ is the sample proportion and n is the sample size.

Post 1: Initial Response

If your last name begins with the letters A–M, post a response for option A. If your last name begins with the letters N–Z, post a response for option B.

In your subject line state which option you were assigned.

Option A: Use the confidence interval formula above, and the correct formula for means, to calculate the 95% confidence interval for any population mean of your choice. Tell what quantitative variable you chose. Then, write down (invent) the sample size (be sure it is 30 or above), the sample mean, and the sample standard deviation. Then, calculate the confidence interval. Remember, you are inventing all the values, so no two posts should look the same.

Option B: Use the confidence interval formula above, and the correct formula for proportion, to calculate the 95% confidence interval for any population proportion of your choice. Tell what qualitative variable you chose. Then, write down (invent) the sample size (be sure it is 30 or above) and the sample proportion. Then, calculate the confidence interval. Remember, you are inventing all the values, so no two posts should look the same.

Post 2: Reply to a Classmate

For your first reply, choose a classmate who posted work for Option A.

Review all their work for calculating a confidence interval for a sample mean. Redo their work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example of a population mean that would fit into the confidence interval. Offer an example of a population mean that would be outside of the confidence interval.

Post 3: Reply to Another Classmate

For your second reply, choose a classmate who posted work for Option B.

Review all student work for calculating a confidence interval for a sample proportion. Redo their work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example of a population proportion that would fit into the confidence interval. Offer an example of a population proportion that would be outside of the confidence interval.