Question
ction 8-2
Part 1 of 5
Points: 0 of 1
In a recent court case it was found that during a period of 11 years 896 people were selected for grand jury duty and
A.
C.
F
F.
Part 1 of 5
Points: 0 of 1
A.
C.
F
F.
Ask by Haynes Parsons. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The hypothesis test to be conducted is:
So, the correct choice is D.
Solution
To test the claim that the selection process is biased against allowing a specific ethnicity to sit on the grand jury, we need to conduct a hypothesis test.
Given:
- Total number of people selected for grand jury duty: 896
- Percentage of people from the same ethnicity: 35%
- Percentage of people eligible for grand jury duty from the same ethnicity: 78.9%
We want to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. This implies that we are looking for evidence that the proportion of people from this ethnicity selected for grand jury duty is less than 78.9%.
Therefore, the null hypothesis (
The alternative hypothesis (
The test statistic and P-value will be calculated using the normal distribution as an approximation to the binomial distribution.
The correct hypothesis test to be conducted is:
Therefore, the correct answer is:
D.
D.
[ H_{1}: p = 0.789 )
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Explain 
Simplify this solution Mind Expander
To determine which hypothesis test to conduct, we first need to formulate our hypotheses. We are testing whether the selection process is biased against the specified ethnicity. The null hypothesis will generally reflect no bias, while the alternative hypothesis will suggest that the selection is biased. Therefore, considering that we suspect underrepresentation, the hypotheses should be:
So the correct option is
Through our analysis, we would calculate the test statistic and P-value to reach a conclusion about these hypotheses, ultimately assessing if there’s statistical evidence of a bias in the grand jury selection process. Fun fact: the idea of grand juries has roots in medieval England, showcasing how legal processes evolve despite their historical origins!
For the application, knowing how to test for bias in jury selection is crucial! Such practices ensure diversity and representation in legal processes, helping to maintain a fair justice system. By examining statistical occurrences like this one, legal entities can identify and amend potential biases, leading to improved community trust in legal outcomes!
