In a trial of 164 patients who received 10-mg doses of a drug daily, 36 reported headache as a side effect. Use this information to complete parts (a) through (d) below. (a) Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect. p%3(Round to two decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence satisfied? O A. Yes, the requirements for constructing a confidence interval are satisfied. O B. No, the requirement that the sample size is no more than 5% of the population is not satisfied. O C. No, the requirement that each trial be independent is not satisfied. O D. No, the requirement that np (1-p) is greater than 10 is not satisfied. (c) Construct a 95% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect. The 95% confidence interval is ( I D. (Pound to thre e desin el al

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
In a trial of 164 patients who received 10-mg doses of a drug daily, 36 reported headache as a side effect. Use this information to complete parts (a) through (d) below.
(a) Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect.
p= (Round to two decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
Are the requirements for constructing a confidence satisfied?
O A. Yes, the requirements for constructing a confidence interval are satisfied.
O B. No, the requirement that the sample size is no more than 5% of the population is not satisfied.
O C. No, the requirement that each trial be independent is not satisfied.
O D. No, the requirement that np(1-p) is greater than 10 is not satisfied.
(c) Construct a 95% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect.
The 95% confidence interval is ( | ).
(Round to three decimal places as needed.)
Transcribed Image Text:In a trial of 164 patients who received 10-mg doses of a drug daily, 36 reported headache as a side effect. Use this information to complete parts (a) through (d) below. (a) Obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect. p= (Round to two decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence satisfied? O A. Yes, the requirements for constructing a confidence interval are satisfied. O B. No, the requirement that the sample size is no more than 5% of the population is not satisfied. O C. No, the requirement that each trial be independent is not satisfied. O D. No, the requirement that np(1-p) is greater than 10 is not satisfied. (c) Construct a 95% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect. The 95% confidence interval is ( | ). (Round to three decimal places as needed.)
(d) Interpret the confidence interval. Which statement below best interprets the interval?
O A. We are 95% confident that the interval does not contain the true value of p.
O B. There is a 95% chance that the true value of p will not fall in the interval.
C. There is a 95% chance that the true value of p will fall in the interval.
O D. We are 95% confident that the interval contains the true value of p.
Transcribed Image Text:(d) Interpret the confidence interval. Which statement below best interprets the interval? O A. We are 95% confident that the interval does not contain the true value of p. O B. There is a 95% chance that the true value of p will not fall in the interval. C. There is a 95% chance that the true value of p will fall in the interval. O D. We are 95% confident that the interval contains the true value of p.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
  • SEE MORE 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