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 'of them were from the same ethnicity. Among the people eligible for grand jury duty, were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation te the binomial distribution.

Which of the following is the hypothesis test to be conducted?
A. B.

C. D

E.
F
F.

Ask by Haynes Parsons. in the United States

Mar 21,2025

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 'of them were from the same ethnicity. Among the people eligible for grand jury duty, were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation te the binomial distribution.

Which of the following is the hypothesis test to be conducted?
A. B.

C. D

E.
F
F.

Ask by Haynes Parsons. in the United States

Mar 21,2025

UpStudy AI · Accepted Answer

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 ($$H_{0}$$) is that the proportion of people from this ethnicity selected for grand jury duty is equal to 78.9% ($$p = 0.789$$).

The alternative hypothesis ($$H_{1}$$) is that the proportion of people from this ethnicity selected for grand jury duty is less than 78.9% ($$p < 0.789$$).

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:
$$ H_{0}: p = 0.789 $$
$$ H_{1}: p < 0.789 $$

Therefore, the correct answer is:
D. $$ H_{0}: p < 0.789 $$
$$ H_{1}: p = 0.789 $$
The hypothesis test to be conducted is: \[ H_{0}: p = 0.789 $$ $$ H_{1}: p < 0.789 $$ So, the correct choice is D.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Statistics Questions