Interpret the 95% confidence interval in context in one sentence. Does your confidence interval capture 0? Answer this question and discuss what that means in relation to a two-sided hypothesis test. Specifically, do these results allow us to infer anything about the claim stated in the problem? Are the results practically significant? Should the company that created Medicine A stand behind their claim of being non-drowsy based on these results? Answer this question in one or two sentences.
Interpret the 95% confidence interval in context in one sentence. Does your confidence interval capture 0? Answer this question and discuss what that means in relation to a two-sided hypothesis test. Specifically, do these results allow us to infer anything about the claim stated in the problem? Are the results practically significant? Should the company that created Medicine A stand behind their claim of being non-drowsy based on these results? Answer this question in one or two sentences.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
-
Interpret the 95% confidence interval in context in one sentence.
-
Does your confidence interval capture 0? Answer this question and discuss what that means in relation to a two-sided hypothesis test. Specifically, do these results allow us to infer anything about the claim stated in the problem?
-
Are the results practically significant? Should the company that created Medicine A stand behind their claim of being non-drowsy based on these results? Answer this question in one or two sentences.

Transcribed Image Text:A serious side effect of allergy medicines is that they cause drowsiness, which can cause many
problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine
has been developed. The company that created the medicine claims to be the first, once-a-day,
non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to
check on this claim by comparing Medicine A with another allergy medicine not advertised as
non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and
each individual was randomly assigned to take either Medicine A or Medicine B. From the
Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of
1,589 reported drowsiness.

Transcribed Image Text:Two sample proportion summary hypothesis test:
P1: proportion of successes for population 1
P2 : proportion of successes for population 2
P1 - P2 : Difference in proportions
Ho : P1 - P2 = 0
HA :P1 - P2 + 0
%3D
Hypothesis test results:
Difference Count1 Total1 Count2 Total2 Sample Diff.
Std. Err.
Z-Stat
P-value
P1 - P2
114
1604
155
1589 -0.026473307 0.0098310801 -2.6928178
0.0071
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