A survey is conducted from a population of people of whom 40% have a college degree. The following sample data were recorded for a question asked of each person sampled, "Do you have a college degree?"
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YES
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NO
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NO
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YES
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YES
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YES
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YES
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YES
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YES
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YES
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YES
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NO
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NO
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NO
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YES
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NO
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YES
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YES
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NO
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NO
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NO
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YES
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YES
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YES
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NO
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YES
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NO
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YES
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NO
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NO
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YES
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NO
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NO
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NO
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YES
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YES
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NO
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NO
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NO
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NO
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NO
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NO
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YES
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NO
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NO
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NO
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YES
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NO
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YES
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YES
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NO
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NO
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NO
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YES
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NO
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NO NO NO YES YES
a. Calculate the sample proportion of respondents who have a college degree.
b. What is the probability of getting a sample proportion as extreme or more extreme than the one observed in part a if the population has 40% with college degrees?