In January 2007 Consumer, Reports published a study of bacterial contamination of chicken sold in the United States.  They purchased 525 broiler chickens from various stores in 23 states and tested them for bacterial contamination.  Lab tests indicated 83% of the chickens were contaminated with Campylobacter.How would you justify a claim by the USDA that the number of chickens tested was not large enough since 9 billion chickens are sold each year in the U.S.?What is the impact on the confidence interval estimate if a larger sample is used?

Question
Asked Dec 12, 2019
23 views
  1. In January 2007 Consumer, Reports published a study of bacterial contamination of chicken sold in the United States.  They purchased 525 broiler chickens from various stores in 23 states and tested them for bacterial contamination.  Lab tests indicated 83% of the chickens were contaminated with Campylobacter.
  2. How would you justify a claim by the USDA that the number of chickens tested was not large enough since 9 billion chickens are sold each year in the U.S.?
  3. What is the impact on the confidence interval estimate if a larger sample is used?
check_circle

Expert Answer

Step 1

1.

The number of contaminated chicken is,

help_outline

Image Transcriptionclose

np = 525(0.83) = 435.75

fullscreen
Step 2

Thus, the number of contaminated chicken is 435.75.

2.

It is given that the sample size of 525 broiler chickens from various stores in 23 states indicated that 83% of the chickens were contaminated with Campylobacter.

The population size is 9 billion but the sample size is 525. The sample size must be at least 5% or 10% of the population size. The sample size of 525 is below these two percentages.

But, the np is greater than or equal to 10.

Hence, the claim made by the USDA that the number of chickens tested was not large enough since 9 billion chickens were sold each year in the U.S. is justified.

Step 3

3.

Confidence interval:

...
help_outline

Image Transcriptionclose

C.I = x±Z, Vn

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

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to fi...

A: It is given that the sample of suspected criminals, n is 782 and number of criminals who captured ar...

question_answer

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the da...

A: Step-by-step procedure to find the regression equation using MINITAB software:Choose Stat > Regre...

question_answer

Q: What is the answer to this?

A: Concept of General Addition Rule:For any two events A and B the General Addition Rule state that:

question_answer

Q: Can you do problem a, b, c?

A: (a)The appropriate chart is pie chart. To draw the pie chart firstly convert the data for Business A...

question_answer

Q: ) Here are the scores of eight Math 21 students on their midterm exam and their final exam. Use the ...

A: The appropriate Null and Alternative Hypotheses are given below: From the given information, the cla...

question_answer

Q: here is the link of table 8 https://www.webassign.net/podstat/peck_Appendix_A.pdf   from the given i...

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

question_answer

Q: For the past 102 years, a certain state suffered 34 direct hits from major​ (category 3 to​ 5) hurri...

A: It is given that in the past 102 years, there are 34 direct hits from major hurricanes.Thus, Number ...

question_answer

Q: A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet ha...

A: Given information:Population mean = 24.0Population standard deviation = 7.4Sample size (n) = 57

question_answer

Q: Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...