The following data are from a study on Botox injections. Patients received a high-dose injection in one eye (experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment = treatment C). Patients were asked to rate the level of pain in each eye on a 1-10 scale, with higher scores indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over several visits. Data from the last visit are given in the table below. Effect of Botox injection on eye pain Pain score at the last visit
The following data are from a study on Botox injections. Patients received a high-dose injection in one eye (experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment = treatment C). Patients were asked to rate the level of pain in each eye on a 1-10 scale, with higher scores indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over several visits. Data from the last visit are given in the table below. Effect of Botox injection on eye pain Pain score at the last visit
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
Related questions
Question
![Ophthalmology
The following data are from a study on Botox injections. Patients received a high-dose injection in one eye
(experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment =
treatment C). Patients were asked to rate the level of pain in each eye on a 1-10 scale, with higher scores
indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over
several visits. Data from the last visit are given in the table below.
Effect of Botox injection on eye pain
Subject
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Pain score at the last visit
Pain in E eye Pain in C eye
1.3
7.3
0.0
0.0
3.0
0.0
3.5
0.0
0.0
2.0
0.0
3.0
5.0
0.3
0.0
4.3
USE SALT
8.7
1.4
0.9
9.6
7.9
9.1
5.1
2.2
2.6
7.9
4.4
4.6
9.1
7.4
0.4
0.7
UNİ TANTE ELANIKE
Cunnnen win wich to compare the nain score in the E eve vs. the pain score in the C eye.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeadb183-1175-48ee-be1d-be4cbd36e1e9%2F730afb2e-39a9-4e69-9c03-adf36f893b2b%2Flmmozal_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ophthalmology
The following data are from a study on Botox injections. Patients received a high-dose injection in one eye
(experimental treatment = treatment E) and a low-dose injection in the other eye (control treatment =
treatment C). Patients were asked to rate the level of pain in each eye on a 1-10 scale, with higher scores
indicating more pain. The assignment of treatments to eyes was randomized. The subjects came back over
several visits. Data from the last visit are given in the table below.
Effect of Botox injection on eye pain
Subject
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Pain score at the last visit
Pain in E eye Pain in C eye
1.3
7.3
0.0
0.0
3.0
0.0
3.5
0.0
0.0
2.0
0.0
3.0
5.0
0.3
0.0
4.3
USE SALT
8.7
1.4
0.9
9.6
7.9
9.1
5.1
2.2
2.6
7.9
4.4
4.6
9.1
7.4
0.4
0.7
UNİ TANTE ELANIKE
Cunnnen win wich to compare the nain score in the E eve vs. the pain score in the C eye.
![Reject Ho. There is sufficient evidence to conclude that, on average, the pain score in the E eye
and the pain score in the C eye are different.
Fail to reject Ho. There is insufficient evidence to conclude that, on average, the pain score in
the E eye and the pain score in the C eye are different.
Another way to compare the E-treated eyes vs. the C-treated eyes is to look at the percentage of subjects
who have less pain in the E eye vs. the C eye.
(c) If the E and C treatments are comparable, what test can we use to compare the percentage of
subjects who have less pain with the E eye vs. the C eye?
one-sample binomial test-normal-theory method
F test for the equality of two variances
two-sample t test for independent samples with equal variance
O paired t test
one-sample binomial test-exact method
two-sample t test for independent samples with unequal variances
(d) Perform the test in part (d), and report a p-value (two-tailed). (Use α = 0.05.)
State the null and alternative hypotheses. (Enter != for # as needed.)
но: P = 0,5
H₂: P = 015
Card Py
DE
ARE
All answers are correct.
only problem is with p-value below: *
Find the test statistic. (If the test does not have a defined test statistic, enter DNE. Round your
answer to two decimal places.) Please explain clearly how to use
technology to find the P-value
DNE
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value =
Thanks!!
State your conclusion.
Fail to reject Ho. There is insufficient evidence to conclude that the proportion of subjects who
will experience less pain in the E eye is different from what would be expected if both
treatments were equivalent.
O Reject Ho. There is insufficient evidence to conclude that the proportion of subjects who will
experience less pain in the E eye is different from what would be expected if both treatments
were equivalent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeadb183-1175-48ee-be1d-be4cbd36e1e9%2F730afb2e-39a9-4e69-9c03-adf36f893b2b%2F6av9l3g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Reject Ho. There is sufficient evidence to conclude that, on average, the pain score in the E eye
and the pain score in the C eye are different.
Fail to reject Ho. There is insufficient evidence to conclude that, on average, the pain score in
the E eye and the pain score in the C eye are different.
Another way to compare the E-treated eyes vs. the C-treated eyes is to look at the percentage of subjects
who have less pain in the E eye vs. the C eye.
(c) If the E and C treatments are comparable, what test can we use to compare the percentage of
subjects who have less pain with the E eye vs. the C eye?
one-sample binomial test-normal-theory method
F test for the equality of two variances
two-sample t test for independent samples with equal variance
O paired t test
one-sample binomial test-exact method
two-sample t test for independent samples with unequal variances
(d) Perform the test in part (d), and report a p-value (two-tailed). (Use α = 0.05.)
State the null and alternative hypotheses. (Enter != for # as needed.)
но: P = 0,5
H₂: P = 015
Card Py
DE
ARE
All answers are correct.
only problem is with p-value below: *
Find the test statistic. (If the test does not have a defined test statistic, enter DNE. Round your
answer to two decimal places.) Please explain clearly how to use
technology to find the P-value
DNE
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value =
Thanks!!
State your conclusion.
Fail to reject Ho. There is insufficient evidence to conclude that the proportion of subjects who
will experience less pain in the E eye is different from what would be expected if both
treatments were equivalent.
O Reject Ho. There is insufficient evidence to conclude that the proportion of subjects who will
experience less pain in the E eye is different from what would be expected if both treatments
were equivalent.
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