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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
- 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 theexpected value to the actual sample proportion.
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