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.

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  1.  Interpret the 95% confidence interval in context in one sentence.

  2.  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?

  3. 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.

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: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.
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
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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