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a survey of retirees was conducted to determine their opinion on the th…

Question

a survey of retirees was conducted to determine their opinion on the the cost of healthcare. the researcher mailed a questionnaire to 2465 retirees and received responses from 417 of them of whom 177 indicated that health care was too expensive.

  1. what was the population for this survey?

o researchers
o 417 retirees
o all retirees
o cost of health care

  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?

o response bias and nonresponse bias
o nonresponse bias and sampling bias
o response bias and sampling bias
o there are no sources of bias
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Explanation:

Step1: Identify 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: Determine intended sample size

The researcher mailed questionnaires to 2465 retirees, so the intended sample size is 2465.

Step3: Find actual sample size

Responses were received from 417 retirees, so the actual sample size is 417.

Step4: Calculate non - response percentage

Non - response rate formula is $\frac{\text{Number of non - respondents}}{\text{Intended sample size}}\times100$. Number of non - respondents is $2465 - 417=2048$. So non - response percentage is $\frac{2048}{2465}\times100\approx83.09$.

Step5: Identify bias sources

Non - response bias occurs as not all who were sent questionnaires responded. Sampling bias may be present as the sample may not be a perfect representation of all retirees.

Answer:

  1. all retirees
  2. 2465
  3. 417
  4. 83.09
  5. nonresponse bias and sampling bias