Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic. 4.8 JURORS ARE EXPECTED TO BE HISPANIC. The select process produces a jury with 3 Hispanic individuals, meaning that 25% of the jury is Hispanic. Using the binomial distribution we find that the probability that 3 or fewer jurors would be Hispanic is 0.2253. Create a graph of the distribution with the area corresponding to the previous information.   Use Statistics to make an argument to the court on behalf of your client. Explain why random sampling in this situation of juror selection relates the expected sample proportion to the population proportion. Compare the expected value to the actual sample proportion.

Question

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic. 4.8 JURORS ARE EXPECTED TO BE HISPANIC. The select process produces a jury with 3 Hispanic individuals, meaning that 25% of the jury is Hispanic. Using the binomial distribution we find that the probability that 3 or fewer jurors would be Hispanic is 0.2253.

  • Create a graph of the distribution with the area corresponding to the previous information.

 

  • Use Statistics to make an argument to the court on behalf of your client. Explain why random sampling in this situation of juror selection relates the expected sample proportion to the population proportion.
    Compare the expected value to the actual sample proportion.

 

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