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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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
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