75 students who live in coed dormitories was selected. Complete parts a through d below. ..... Vhat is the probability that more than 50% of the students in the sample consume alcohol weeklv e probability is. pund to four decimal places as needed.) What is the probability that less than 65% of the students in the sample consume alcohol weekly me probability is. Cound to four decimal places as needed.) What impact would changing the sample size to 100 have on the results in part a? Select the com DA. The value of the probability decreases. The new value of the probability is (Round to four decimal places as needed.) O B. The value of the probability increases. The new value of the probability is (Round to four decimal places as needed.) O C. There is no change to the value of the probability. d. Identify the symmetric interval that includes 95% of the sample proportions with a sample size o alcohol weekly is 56.3%. to one decimal place as needed. Use ascending order.)
75 students who live in coed dormitories was selected. Complete parts a through d below. ..... Vhat is the probability that more than 50% of the students in the sample consume alcohol weeklv e probability is. pund to four decimal places as needed.) What is the probability that less than 65% of the students in the sample consume alcohol weekly me probability is. Cound to four decimal places as needed.) What impact would changing the sample size to 100 have on the results in part a? Select the com DA. The value of the probability decreases. The new value of the probability is (Round to four decimal places as needed.) O B. The value of the probability increases. The new value of the probability is (Round to four decimal places as needed.) O C. There is no change to the value of the probability. d. Identify the symmetric interval that includes 95% of the sample proportions with a sample size o alcohol weekly is 56.3%. to one decimal place as needed. Use ascending order.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Educational Transcript: Probability and Statistics**
---
A recent journal found that 56.3% of students who lived in coed dormitories consumed alcohol weekly, compared with 23.5% who lived in single-sex dormitories. A random sample of 1,757 students was selected. Complete parts a-d below.
**a.** What is the probability that more than 50% of the students in the sample consume alcohol weekly?
Probability = [blank] (Round to four decimal places as needed)
**b.** What is the probability that less than 61% of the students in the sample consume alcohol weekly?
Probability = [blank] (Round to four decimal places as needed)
**c.** What impact would changing the sample size to 100 have on the results in parts (a) and (b)?
**Options:**
A. The value of the probability decreases. The new value of the probability in part (a) is [blank] and the new value of the probability in part (b) is [blank]. (Round to four decimal places as needed.)
B. The value of the probability increases. The new value of the probability in part (a) is [blank] and the new value of the probability in part (b) is [blank]. (Round to four decimal places as needed.)
C. There is no change in the value of the probabilities.
**d.** Identify the symmetric interval that includes 95% of the sample proportions with a sample size of 1,757 if the true population proportion of students in coed dormitories who consume alcohol weekly is 56.3%. [blank] < [blank] (Round to one decimal place as needed. Use ascending order.)
**[Next]** Button
---
This structured problem provides insights into how sample size and population proportions affect statistical probabilities, aiding in the understanding of statistical analyses concerning real world data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c8d2e18-0064-4d73-a0e9-9892ce8aa988%2Fb594b8d6-0d56-4385-87a4-da907ea3f9e1%2F23o4fo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Transcript: Probability and Statistics**
---
A recent journal found that 56.3% of students who lived in coed dormitories consumed alcohol weekly, compared with 23.5% who lived in single-sex dormitories. A random sample of 1,757 students was selected. Complete parts a-d below.
**a.** What is the probability that more than 50% of the students in the sample consume alcohol weekly?
Probability = [blank] (Round to four decimal places as needed)
**b.** What is the probability that less than 61% of the students in the sample consume alcohol weekly?
Probability = [blank] (Round to four decimal places as needed)
**c.** What impact would changing the sample size to 100 have on the results in parts (a) and (b)?
**Options:**
A. The value of the probability decreases. The new value of the probability in part (a) is [blank] and the new value of the probability in part (b) is [blank]. (Round to four decimal places as needed.)
B. The value of the probability increases. The new value of the probability in part (a) is [blank] and the new value of the probability in part (b) is [blank]. (Round to four decimal places as needed.)
C. There is no change in the value of the probabilities.
**d.** Identify the symmetric interval that includes 95% of the sample proportions with a sample size of 1,757 if the true population proportion of students in coed dormitories who consume alcohol weekly is 56.3%. [blank] < [blank] (Round to one decimal place as needed. Use ascending order.)
**[Next]** Button
---
This structured problem provides insights into how sample size and population proportions affect statistical probabilities, aiding in the understanding of statistical analyses concerning real world data.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman