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# Eighty thousand people attending a professional football game filled out surveys asking their opinions on using tax money to upgrade the football stadium. Seventy percent said that they supported the use of tax money. Then a pollster surveyed a simple random sample of $500$ voters, and only $30\%$ of the voters in this sample supported the use of tax money. The owner of the football team claims that the survey done at the football stadium is more reliable, because the sample size was much larger. Is he right? Explain.

Solution

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The owner of the football team is wrong because even though the sample size was larger, the sampling method that he used is biased. The samples on his survey are all football fans, hence, it is more likely that they will support using tax money to upgrade the football stadium. Therefore, his samples are not the true representative of the population.

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