MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Topic Video
Question
B) identify the value of the margin of error (E)
C)Construct the confidence interval
Expert Solution
arrow_forward
Step 1
Given
Total number of patients treated with drug = n = 4939
The total number of patients developed the adverse reaction of nausea = 166
The proportion of patients developed the adverse reaction of nausea = p = 166/4939 = 0.0336
The value of n*p and n(1-p) are 166 and 4773 both are more than 10, so we assume normal approximation as the sample size is large.
The 99% critical Z value is 2.575
The point estimate = p = 0.0336
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Use the given confidence interval to find the margin of error and the sample mean. (12.3,20 5) The sample mean is (Type an integer or a decimal.) The margin of error is (Type an integer or a decimal.)arrow_forward29arrow_forwardVirginia wants to estimate the percentage of students who live more than three miles from the school. She wants to create a 95% confidence interval which has a margin of error of at most 5%. How many students should be polled to create the confidence interval? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of values above.arrow_forward
- Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4273 patients treated with the drug, 117 developed the adverse reaction of nausea. Construct a 90% confidence interval for the proportion of adverse reactions.arrow_forwardA poll reported that only 1316 out of a total of 1746 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the military. Assume the conditions for using the CLT are met. Complete part (a) (a) Find a 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the military, and interpret this interval. The 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the military is: ( ? , ? )arrow_forwardInterpret a confidence interval: A survey organization drew a simple random sample of 625 households from a city of 100,000 households. The sample mean of people in the 625 households was 2.30, and a 95% confidence interval for the mean number of people in the 100,000 households was 2.16< sum of mean< 2.44. True or false explain. The probability is 0.95 that the mean number of people in 100,000 households is between 2.16 and 2.44.arrow_forward
- d) Construct a 90% confidence interval for Hcommunity college - Hno transfer to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college. The confidence interval is the range from to (Round to three decimal places as needed.)arrow_forwardYou recently sent out a survey to determine if the percentage of adults who use social media has changed from 56%, which was the percentage of adults who used social media five years ago. Of the 2335 people who responded to survey, 1725 stated that they currently use social media.a) Use the data from this survey to construct a 93% confidence interval estimate of the proportion of adults who use social media. Record the result below in the form of (#,#)(#,#). Round your final answer to four decimal places.arrow_forwardYou recently sent out a survey to determine if the percentage of adults who use social media has changed from 62%, which was the percentage of adults who used social media five years ago. Of the 2283 people who responded to survey, 1635 stated that they currently use social media.a) Use the data from this survey to construct a 94% confidence interval estimate of the proportion of adults who use social media. Record the result below in the form of (#,#)(#,#). Round your final answer to four decimal places.arrow_forward
- Express the confidence interval (84.4 %, 95.2 % ) in the form of p ME.arrow_forwardA random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?arrow_forwardExpress the confidence interval 50.5%<p<61.7 in the form of ˆp±ME.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
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