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Suppose that $20%$ of students at Kansas State University have listened to Funtabi's album "The Creatures We Are" (available to listen to on Spotify, Apple Music, and other music streaming platforms). Additionally, suppose that, to gauge interest in the band, a major record label randomly samples 900 students. o. (4pts) Approximate the probability that less than $18%$ of the sampled Kansas State students have listened to the album? (Note: Round final answers to 4 decimal places.) b. (2pts) is it appropriate to use a normal distribution approximation to answer question o.? Yes, because $np≥5$ and $n(1−p)≥5$ Yes, because $n≥30$ No, because $np≥5$ and $n(1−p)≥5$ No, because $n<30$
An economist sampled 2000 individuals and found that 803 actively participate in the stock market. o. (2pts) Find the sample proportion. (Round your answer to 4 decimal points) Sample proportion b. (2pts) True or false, the sample proportion is approximately normally distributed, True False c. (6pts) Compute a $99%$ confidence interval for the population proportion p. (Round your answers to 4 decimal points) to d. (2pts) Report the margin of error for this confidence level. (Round your onswer to 4 decimal points)

This is a binomial distribution problem that can be approximated using a normal distribution. The co...

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