Researchers studying the effect of antibiotic treatment for acute sinusitis compared to symptomatic treatments randomly assigned 166 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 symptoatic treatments such as acetaminophen, nasal decongestants, etc. At the end of the 10-day period, patients were asked if they experienced improvement in symptoms. The distribution of responses is summized below. We want to test if there is a difference in the improvement rates of sinusitis symptoms between the treatment and the placebo. (a) Formulate the null and alternative hypotheses (b) Calculate the test statistic and find the P-value (c) Please check the conditions required to do the test above.
Researchers studying the effect of antibiotic treatment for acute sinusitis compared to symptomatic treatments randomly assigned 166 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 symptoatic treatments such as acetaminophen, nasal decongestants, etc. At the end of the 10-day period, patients were asked if they experienced improvement in symptoms. The distribution of responses is summized below.
We want to test if there is a difference in the improvement rates of sinusitis symptoms between the treatment and the placebo.
(a) Formulate the null and alternative hypotheses
(b) Calculate the test statistic and find the P-value
(c) Please check the conditions required to do the test above.
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