1.2 Sinusitis and antibiotics: Researchers studying the effect of antibiotic treatment for acute sinusitis compared to symptomatic treatments randomly assigned 162 adults diagnosed with acute sinusitis to one of two groups: treatment or control. Study participants received either a 10-day course of amoxicillin (an antibiotic) or a placebo similar in appearance and taste. The placebo consisted of symptomatic treatments such as acetaminophen, nasal decongestants, etc. At the end of the 10-day period patients were asked if they experienced significant improvement in symptoms. The distribution of responses is summarized below. (please round answers to within one hundredth of a percent) Significant improvement: Yes Significant improvement: No Treatment Control Total 65 55 120 24 18 42 Total 89 73 162 a) What percent of patients in the treatment group experienced a significant improvement in symptoms? 73.03 % b) What percent of patients in the control group experienced a significant improvement in symptoms? 75.34 %
1.2 Sinusitis and antibiotics: Researchers studying the effect of antibiotic treatment for acute sinusitis compared to symptomatic treatments randomly assigned 162 adults diagnosed with acute sinusitis to one of two groups: treatment or control. Study participants received either a 10-day course of amoxicillin (an antibiotic) or a placebo similar in appearance and taste. The placebo consisted of symptomatic treatments such as acetaminophen, nasal decongestants, etc. At the end of the 10-day period patients were asked if they experienced significant improvement in symptoms. The distribution of responses is summarized below. (please round answers to within one hundredth of a percent) Significant improvement: Yes Significant improvement: No Treatment Control Total 65 55 120 24 18 42 Total 89 73 162 a) What percent of patients in the treatment group experienced a significant improvement in symptoms? 73.03 % b) What percent of patients in the control group experienced a significant improvement in symptoms? 75.34 %
MATLAB: An Introduction with Applications
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Transcribed Image Text:1.2 Sinusitis and antibiotics: Researchers studying the effect of antibiotic treatment for acute sinusitis
compared to symptomatic treatments randomly assigned 162 adults diagnosed with acute sinusitis to one of
two groups: treatment or control. Study participants received either a 10-day course of amoxicillin (an
antibiotic) or a placebo similar in appearance and taste. The placebo consisted of symptomatic treatments
such as acetaminophen, nasal decongestants, etc. At the end of the 10-day period patients were asked if
they experienced significant improvement in symptoms. The distribution of responses is summarized below.
(please round answers to within one hundredth of a percent)
Significant improvement: Yes Significant improvement: No
Treatment
Control
Total
65
55
120
24
18
42
Total
89
73
162
a) What percent of patients in the treatment group experienced a significant improvement in symptoms?
73.03
%
b) What percent of patients in the control group experienced a significant improvement in symptoms?
75.34
%
c) Based on your finding in the previous two parts, which treatment appears to be more effective for
sinusitis? Explain your reasoning.
Symptomatic treatment, because a higher percentage of individuals in the control group experienced
significant improvement.
O Antibiotic treatment, because this is a real treatment while symptomatic treatment is just a
placebo.
O Antibiotic treatment, because more individuals in the treatment group experienced significant
improvement.
O Symptomatic treatment, because fewer people in the control group report that there is no
significant improvement.
d) Do the data provide convincing evidence that there is a real difference in the improvement rates of
sinuitis symptoms? Or do you think that the observed difference might just be due to chance?
Yes, the percentage of patients in the treatment group who experienced significant improvement
after treatment was much greater than the corresponding percentage of patients in the control
group.
O It is impossible to tell merely by comparing the sample proportions because the difference could be
the result of random error in our sample.
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