A report concluded that the 33% of 1057 youth they surveyed who responded that t
ID: 3223442 • Letter: A
Question
A report concluded that the 33% of 1057 youth they surveyed who responded that they plan to start their own business was the highest in the region. They conducted a variety of face to face and phone interviews with youth during their survey. They noted that the margin of error was between 6.6 and 7.8 percentage points, and that "in addition to sampling error, question wording and practical difficulties in conducting surveys can introduce error or bias into the findings of public opinion polls." Complete parts (a) and (b) below.
a) What kinds of bias might they be referring to? Select all suitable answers below.
A. There may be nonreponse bias in an attempt to mislead the questioner.
B. There may be response bias based on the wording of the question.
C. There may be response bias in an attempt to please the questioner
D. There may be nonreponse biased based on the type of people willing to agree to the interview.
b) Does their margin of error suggest that this was a simple random sample? Explain.
A. No, the margin of error from a simple random sample at 99% confidence would be
nothing ?%, which is significantly less than the given margin or error. It is likely that a more complicated sampling method was employed.
(Round to one decimal place as needed.)
B. No, the margin of error from a simple random sample at 99% confidence would be
nothing ?%, which is significantly more than the given margin or error. It is likely that a more complicated sampling method was employed.
(Round to one decimal place as needed.)
C. Yes, the data suggest that this was a simple random sample
Explanation / Answer
Solution:
a) B. There may be response bias based on the wording of the question.
b) Margin of error = z * sqrt(p(1-p)/n)
here given values are
p = 0.33 q= 1- p = 0.67 and n = 1057
ME = 2.58* sqrt( 0.33(0.67)/1057)
= 0.0373
C. Yes, the data suggest that this was a simple random sample
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