H 10.1 Inference for Categorical Data: Comparing Two Proportions Treating Lower Back Pain Patients with lower back pain are often given nonsteroidal anti-inflammatory drugs (NSAIDs) like naproxen to help ease their pain. Researchers wondered if taking Valium along with the naproxen would affect pain relief. To find out, they recruited 112 patients with severe lower back pain and randomly assigned them to one of two treatments: naproxen and Valium or naproxen and placebo. After 1 week, 39 of the 57 subjects who took naproxen and Valium reported reduced lower back pain, compared with 43 of the 55 subjects in the naproxen and placebo group.Construct and interpret a 99% confidence interval for the difference in the proportion of patients like these who would report reduced lower back pain after taking naproxen and Valium versus after taking naproxen and placebo for a week. interyal for a difference between two proportions thod and check
H 10.1 Inference for Categorical Data: Comparing Two Proportions Treating Lower Back Pain Patients with lower back pain are often given nonsteroidal anti-inflammatory drugs (NSAIDs) like naproxen to help ease their pain. Researchers wondered if taking Valium along with the naproxen would affect pain relief. To find out, they recruited 112 patients with severe lower back pain and randomly assigned them to one of two treatments: naproxen and Valium or naproxen and placebo. After 1 week, 39 of the 57 subjects who took naproxen and Valium reported reduced lower back pain, compared with 43 of the 55 subjects in the naproxen and placebo group.Construct and interpret a 99% confidence interval for the difference in the proportion of patients like these who would report reduced lower back pain after taking naproxen and Valium versus after taking naproxen and placebo for a week. interyal for a difference between two proportions thod and check
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![.CO
7
S
כ
-
O
H
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Y
Σ
V
H
10.1 Inference for Categorical Data: Comparing Two Proportions
Treating Lower Back Pain Patients with lower back pain are often given nonsteroidal
anti-inflammatory drugs (NSAIDs) like naproxen to help ease their pain. Researchers wondered if
taking Valium along with the naproxen would affect pain relief. To find out, they recruited 112
patients with severe lower back pain and randomly assigned them to one of two treatments:
naproxen and Valium or naproxen and placebo. After 1 week, 39 of the 57 subjects who took
naproxen and Valium reported reduced lower back pain, compared with 43 of the 55 subjects in the
naproxen and placebo group.Construct and interpret a 99% confidence interval for the difference in
the proportion of patients like these who would report reduced lower back pain after taking
naproxen and Valium versus after taking naproxen and placebo for a week.
Two-sample Z-interval for a difference between two proportions
STATE the parameter and confidence
level.
PLAN the inference method and check
conditions.
2 sample
2 interval for P₁ - Pz
99% CI for P, -P₂
P₁: true proportion of patients like ✓Random assignment to treatments
these who would report
reduced lower back pain after
tahing naproxen and Valium for a
week
√10%
Pz: true proportion of patients like
these who would report reduced.
lower back pain after taking /Large Counts Condition
naproxen placebo for a
Week
57-39-18
55-43=12
DO all necessary visuals and
calculations.
CONCLUDE with an interpretation of the
confidence interval in context.
We are 99% confident that the interval
-0.312 to 0.116 captures P, -P₂ the diff
in the true proportions of patients like t
would report reduced pain after tak
haproven and valium versus after
naproxen and a placebo for a wech](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08761e0b-7846-4f8c-aaba-fb5a2e9621f6%2F236d7bbb-f2ff-4d48-b7bb-7bd7ef3ed7fd%2Fafcwh5b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:.CO
7
S
כ
-
O
H
?
Y
Σ
V
H
10.1 Inference for Categorical Data: Comparing Two Proportions
Treating Lower Back Pain Patients with lower back pain are often given nonsteroidal
anti-inflammatory drugs (NSAIDs) like naproxen to help ease their pain. Researchers wondered if
taking Valium along with the naproxen would affect pain relief. To find out, they recruited 112
patients with severe lower back pain and randomly assigned them to one of two treatments:
naproxen and Valium or naproxen and placebo. After 1 week, 39 of the 57 subjects who took
naproxen and Valium reported reduced lower back pain, compared with 43 of the 55 subjects in the
naproxen and placebo group.Construct and interpret a 99% confidence interval for the difference in
the proportion of patients like these who would report reduced lower back pain after taking
naproxen and Valium versus after taking naproxen and placebo for a week.
Two-sample Z-interval for a difference between two proportions
STATE the parameter and confidence
level.
PLAN the inference method and check
conditions.
2 sample
2 interval for P₁ - Pz
99% CI for P, -P₂
P₁: true proportion of patients like ✓Random assignment to treatments
these who would report
reduced lower back pain after
tahing naproxen and Valium for a
week
√10%
Pz: true proportion of patients like
these who would report reduced.
lower back pain after taking /Large Counts Condition
naproxen placebo for a
Week
57-39-18
55-43=12
DO all necessary visuals and
calculations.
CONCLUDE with an interpretation of the
confidence interval in context.
We are 99% confident that the interval
-0.312 to 0.116 captures P, -P₂ the diff
in the true proportions of patients like t
would report reduced pain after tak
haproven and valium versus after
naproxen and a placebo for a wech
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