In a recent court case it was found that during a period of 11 years 851 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among thepeople eligible for grand jury duty, 80% were of this ethnicity Use a 0.01 significance level to test the claim that the selection process is based against allowing this ethnicityto sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addressesthe original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.What is the test statistic?(Round to two decimal places as needed.)

Question
Asked May 11, 2019
In a recent court case it was found that during a period of 11 years 851 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the
people eligible for grand jury duty, 80% were of this ethnicity Use a 0.01 significance level to test the claim that the selection process is based 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 to the binomial distribution.
What is the test statistic?
(Round to two decimal places as needed.)
help_outline

Image Transcriptionclose

In a recent court case it was found that during a period of 11 years 851 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80% were of this ethnicity Use a 0.01 significance level to test the claim that the selection process is based 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 to the binomial distribution. What is the test statistic? (Round to two decimal places as needed.)

fullscreen
check_circleExpert Solution
Step 1

It is given that a particular ethnicity in the population is 40%. From that ethnicity, 80% of 851 people selected for grand jury duty.

Null and alternative hypotheses:

Null hypothesis:

H0: p0 = 0.4

That is, the proportion of the ethnicity eligible in grand jury duty is 0.4.

Alternative hypothesis:

H1: p0 > 0.4

That is, the proportion of the ethnicity eligible in grand jury duty is greater than 0.4.

Step 2

Computation of test statistic value:

Hypothesis test for a proportion is the appropriate test to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury.

fullscreen
Step 3

Where,

p-hat is the proportion of the ethnicity eligible for grand jury duty (sample),

p0 is the proportion of the ethnicity in population,

s is the standard deviation of the sampling distribution, and

n is the sample size

The t...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Could you help me with these questions in regaurds to the table provided? (2) Calculate covariance b...

A: Click to see the answer

question_answer

Q: In a survey of 6000 women, 3431 say they change their nail polish once a week. Construct a 99% confi...

A: Confidence interval:The (1-α) % confidence interval for proportion p is given by, 

question_answer

Q: Are there ever any circumstances when a correlation such as Pearson's r can be interpreted as eviden...

A: Correlation between any two variables tell us the linear association meaning that one variable rise ...

question_answer

Q: You are a graduate student in an M.D./Ph.D program, attempting a study of the efficacy of different ...

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...

question_answer

Q: Do you want to own your own candy store? Wow! With some interest in running your own business and a ...

A: (a)Using the provided data, the sample mean and standard deviation can be calculated using Excel fun...

question_answer

Q: If the probability for an event E is P(E)=0.4, then what are the odds against E?

A: Odds against an event:The odds against an event is given by the ratio of the probability of the even...

question_answer

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). T...

A: Confidence interval when population standard deviation is not known:The formula of confidence interv...

question_answer

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

question_answer

Q: Professor Jennings claims that only 35% of the students at Flora College work while attending school...

A: (a) Level of significance:It is given that to test whether more than 35% of the students have jobs, ...