In: Statistics and Probability
A statistics class at a community college was curious about public support for funding community college education. After determining that they would need a sample size of at least 500 , they distributed a survey at their college to 1,000 people on campus, selected at random. Their professor noted a problem with their design.
The same 1,000 people were also surveyed about their preference for jellied vs. whole cranberry sauce for thanksgiving dinner. Would these results receive the same critique from the professors? Explain your answer.
These results of surveying 1,000 people on campus, selected at random about their preference for jellied vs. whole cranberry sauce for thanksgiving dinner would not receive the same critique from the professors.
Explanation:
The survey about public support for funding community college education by sampling 1,000 people on campus, selected at random has undercoverage bias because majority of people who are not associated with community college education are not included. Survey results are likely to be biased more towards support for funding community college education since the sample entirely consists of community college.
However, The survey about their preference for jellied vs. whole cranberry sauce for thanksgiving dinner by sampling 1,000 people on campus, selected at random has no such bias because we ca consider 1,000 people on campus to be proper representative of population in respect of preference for jellied vs. whole cranberry sauce for thanksgiving dinner.