Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 36 students, she finds 2 who eat cauliflower. Obtain and interpret a 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus using Agresti and Coull's method. Click the icon to view Agresti and Coull's method. C Construct and interpret the 95% confidence interval. Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) OA. The proportion of students who eat cauliflower on Jane's campus is between and 95% of the time. OB. There is a 95% chance that the proportion of students who eat cauliflower in Jane's sample is between OC. There is a 95% chance that the proportion of students who eat cauliflower on Jane's campus is between OD. One is 95% confident that the proportion of students who eat cauliflower on Jane's campus is between and and and

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Problem Context:**

Jane intends to estimate the proportion of students on her campus who eat cauliflower. She conducted a survey involving 36 students and found that 2 of them consume cauliflower. Using Agresti and Coull’s method, it is required to obtain and interpret a 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus.

**Task:**

Construct and interpret the 95% confidence interval. Further, select the correct choice regarding this interval and fill in the answer boxes. The values should be rounded to three decimal places as needed.

**Options:**

- **A.** The proportion of students who eat cauliflower on Jane's campus is between [ ] and [ ] 95% of the time.
  
- **B.** There is a 95% chance that the proportion of students who eat cauliflower in Jane's sample is between [ ] and [ ].
  
- **C.** There is a 95% chance that the proportion of students who eat cauliflower on Jane's campus is between [ ] and [ ].

- **D.** One is 95% confident that the proportion of students who eat cauliflower on Jane's campus is between [ ] and [ ].
Transcribed Image Text:**Problem Context:** Jane intends to estimate the proportion of students on her campus who eat cauliflower. She conducted a survey involving 36 students and found that 2 of them consume cauliflower. Using Agresti and Coull’s method, it is required to obtain and interpret a 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus. **Task:** Construct and interpret the 95% confidence interval. Further, select the correct choice regarding this interval and fill in the answer boxes. The values should be rounded to three decimal places as needed. **Options:** - **A.** The proportion of students who eat cauliflower on Jane's campus is between [ ] and [ ] 95% of the time. - **B.** There is a 95% chance that the proportion of students who eat cauliflower in Jane's sample is between [ ] and [ ]. - **C.** There is a 95% chance that the proportion of students who eat cauliflower on Jane's campus is between [ ] and [ ]. - **D.** One is 95% confident that the proportion of students who eat cauliflower on Jane's campus is between [ ] and [ ].
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman