In one study of smokers who tried to quit smoking with nicotine path​ therapy, 41   were smoking one year after the​ treatment, and 32 were not smoking one year after the treatment. Use a 0.10 significance level to test the claim that among smokers who try to quit with nicotine patch​ therapy, the majority are smoking a year after the treatment. a. Define the parameter     A. mu   ​= The mean number of smokers who used the patch and were smoking a year after the treatment   B. p​ = The proportion of all smokers who used the patch and were smoking a year after the treatment   C. p​ = The proportion of all smokers who used the patch and were not smoking a year after the treatment   D. mu   ​= The proportion of all smokers who used the patch and were smoking a year after the treatment   b. State the null and alternative hypotheses     A. Upper H 0 : p equals 0.50 Upper H 1 : p greater than 0.50     B. Upper H 0 : p greater than 0.50 Upper H 1 : p equals 0.50     C. Upper H 0 : p equals 41    Upper H 1 : p less than 41     D. Upper H 0 : mu not equals 0.50 Upper H 1 : mu equals 0.50     c. Calculate the sample proportion ModifyingAbove p with caret . Which of these options is closest to its​ value?     A. 0.7552     B. 0.3633     C. 0.5715     D. 0.5616     d. Calculate the test statistic. Which of these options is closest to its​ value?     A. 0.96     B. negative 0.98     C. 1.23     D. 1.05     e. Calculate the​ P-value. Which of these options is closest to its​ value?     A. 0.2397     B. negative 0.0404     C. 0.1469     D. 0.0456     f. State the technical conclusion     A. Reject Upper H 0     B. Do not reject Upper H 0     g. State the final conclusion     A. There is not sufficient evidence to warrant rejection of the claim.   B. There is sufficient evidence to warrant rejection of the claim.   C. There is not sufficient sample evidence to support the claim.   D. The sample data support the claim.   h. Do these results suggest that the nicotine patch therapy is​ ineffective?     A. No   B. Yes

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
100%

In one study of smokers who tried to quit smoking with nicotine path​ therapy,

41
 
were smoking one year after the​ treatment, and 32 were not smoking one year after the treatment. Use a 0.10 significance level to test the claim that among smokers who try to quit with nicotine patch​ therapy, the majority are smoking a year after the treatment.
a. Define the parameter
 
 
A.
mu
 
​= The mean number of smokers who used the patch and were smoking a year after the treatment
 
B.
p​ = The proportion of all smokers who used the patch and were smoking a year after the treatment
 
C.
p​ = The proportion of all smokers who used the patch and were not smoking a year after the treatment
 
D.
mu
 
​= The proportion of all smokers who used the patch and were smoking a year after the treatment
 
b. State the null and alternative hypotheses
 
 
A.
Upper H 0 : p equals 0.50 Upper H 1 : p greater than 0.50
 
 
B.
Upper H 0 : p greater than 0.50 Upper H 1 : p equals 0.50
 
 
C.
Upper H 0 : p equals

41

  
Upper H 1 : p less than

41

 
 
D.
Upper H 0 : mu not equals 0.50 Upper H 1 : mu equals 0.50
 
 
c. Calculate the sample proportion
ModifyingAbove p with caret
.
Which of these options is closest to its​ value?
 
 
A.
0.7552
 
 
B.
0.3633
 
 
C.
0.5715
 
 
D.
0.5616
 
 
d. Calculate the test statistic. Which of these options is closest to its​ value?
 
 
A.
0.96
 
 
B.
negative 0.98
 
 
C.
1.23
 
 
D.
1.05
 
 
e. Calculate the​ P-value. Which of these options is closest to its​ value?
 
 
A.
0.2397
 
 
B.
negative 0.0404
 
 
C.
0.1469
 
 
D.
0.0456
 
 
f. State the technical conclusion
 
 
A.
Reject Upper H 0
 
 
B.
Do not reject Upper H 0
 
 
g. State the final conclusion
 
 
A.
There is not sufficient evidence to warrant rejection of the claim.
 
B.
There is sufficient evidence to warrant rejection of the claim.
 
C.
There is not sufficient sample evidence to support the claim.
 
D.
The sample data support the claim.
 
h. Do these results suggest that the nicotine patch therapy is​ ineffective?
 
 
A.
No
 
B.
Yes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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
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