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An art an entertainment website posts a poll online about public funding for the arts. 73%...

  1. An art an entertainment website posts a poll online about public funding for the arts. 73% of poll respondents support increased funding for the arts. The website sends a letter to the DC Commission of Arts and Humanities saying that 73% of DC residents support increased funding for the arts. Explain what is wrong, if anything, with the survey.
Math   Statistics-And-Probability   
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Answer #1

When an online poll is conducted by the arts and entertainment website, the sample that is obtained is not likely to be a random sample. This sample is likely to be biased because the people who are interested in arts and entertainment are the only ones who would visit the website. Therefore, the proportion of people among the population who are not interested in arts and entertainment thereby who are less likely to support increased funding for arts are not represented in the sample. Since the sampling frame excludes those people, the sample is having undercoverage bias. Therefore, the poll is not representative of the population. The actual proportion of people who support increased funding for arts will be lesser than 73%. This is the mistake in the survey.

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