(a) Under the null hypothesis, the difference in the sample percentages is expectec %. The standard error for the difference is estimated to be %. (b) Calculate the two-sample z test statistic. (c) Calculate the p-value. STP0.0 / JP. Yoro

MATLAB: An Introduction with Applications
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4. A study was performed to test the effectiveness of a new treatment for migraines. There
were 125 patients in the study. Of these, 60 were randomly assigned to receive the
standard treatment and 65 to receive the new treatment. All were instructed to take the
medication at the onset of their next migraine and to notice if the pain of their migraine
felt reduced after half an hour. Fifty patients receiving the new treatment reported
reduced pain, compared with only 40 of the patients receiving the standard treatment.
The results seem to favor the new treatment, but could the difference just be due to
chance?
In this problem, consider the null hypothesis that the percentage of patients with a
reduction in pain is the same between the two treatments, versus the alternative
hypothesis that the percentages are different.
(a) Under the null hypothesis, the difference in the sample percentages is expected to be
%. The standard error for the difference is estimated to be
%.
8800.0
(b) Calculate the two-sample z test statistic.000*
(c) Calculate the p-value.
Ph
(d) Do you reject the null hypothesis?
eng
190
10
90%
Yor
hot levietul por
nom
(e) State your conclusion in the context of the original problem.
Transcribed Image Text:4. A study was performed to test the effectiveness of a new treatment for migraines. There were 125 patients in the study. Of these, 60 were randomly assigned to receive the standard treatment and 65 to receive the new treatment. All were instructed to take the medication at the onset of their next migraine and to notice if the pain of their migraine felt reduced after half an hour. Fifty patients receiving the new treatment reported reduced pain, compared with only 40 of the patients receiving the standard treatment. The results seem to favor the new treatment, but could the difference just be due to chance? In this problem, consider the null hypothesis that the percentage of patients with a reduction in pain is the same between the two treatments, versus the alternative hypothesis that the percentages are different. (a) Under the null hypothesis, the difference in the sample percentages is expected to be %. The standard error for the difference is estimated to be %. 8800.0 (b) Calculate the two-sample z test statistic.000* (c) Calculate the p-value. Ph (d) Do you reject the null hypothesis? eng 190 10 90% Yor hot levietul por nom (e) State your conclusion in the context of the original problem.
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