Question

a survey of retirees was conducted to determine their opinion on the the cost of healthcare. the researcher mailed a questionnaire to 1804 retirees and received responses from 362 of them of whom 173 indicated that health care was too expensive.

1. what was the population for this survey?

362 retirees
all retirees
cost of health care
researchers

1. what was the intended sample size?
2. what was the actual sample size?
3. what is the percentage of nonresponse (round your answer to two decimal places and do not include the % symbol)?
4. what are two potential sources of bias with the survey?

response bias and nonresponse bias
nonresponse bias and sampling bias
response bias and sampling bias
there are no sources of bias

Explanation:

Step1: Define population

The population is the entire group of interest. Here, it's all retirees as the survey aims to determine retirees' opinion on healthcare cost.

Step2: Identify intended sample size

The researcher mailed questionnaires to 1804 retirees, so the intended sample size is 1804.

Step3: Determine actual sample size

The actual sample size is the number of responses received, which is 362.

Step4: Calculate non - response percentage

The number of non - responses is $1804 - 362=1442$. The non - response percentage is $\frac{1442}{1804}\times100\approx79.93$.

Step5: Identify bias sources

Non - response bias occurs as those who didn't respond may have different opinions. Sampling bias can be present since the sample may not be a perfect representation of all retirees.

Answer:

1. all retirees
2. 1804
3. 362
4. 79.93
5. nonresponse bias and sampling bias