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In clinical trials of Nasonex, 3903 allergy patients were randomly divided into two groups. The patients in the experimental group received Nasonex, while the patients in the control group received a placebo. Of the 2317 patients in the experimental group, 540 reported headaches as a side effect. Of the 1586 patients in the control group, 322 reported headaches as a side effect. Can you conclude that the proportion of patients in the experimental group who experienced headaches as a side effect was greater than the proportion in the control group? Use the `\alpha` = 0.02 level. a. State the null and alternative hypotheses. `H_{0}: p₁ 'H_{1}: P₁ Critical value(s): OF b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: c. Find the test statistic. P₂ d. Find the p-value. P₂ AMA -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 -3 -2 -1 + OF OF (If there are two critical values, list both values separated by a comma) 0 1 2 3

In clinical trials of Nasonex, 3903 allergy patients were randomly divided into two groups. The patients in the experimental group received Nasonex, while the patients in the control group received a placebo. Of the 2317 patients in the experimental group, 540 reported headaches as a side effect. Of the 1586 patients in the control group, 322 reported headaches as a side effect. Can you conclude that the proportion of patients in the experimental group who experienced headaches as a side effect was greater than the proportion in the control group? Use the `\alpha` = 0.02 level. a. State the null and alternative hypotheses. `H_{0}: p₁ 'H_{1}: P₁ Critical value(s): OF b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: c. Find the test statistic. P₂ d. Find the p-value. P₂ AMA -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 -3 -2 -1 + OF OF (If there are two critical values, list both values separated by a comma) 0 1 2 3

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In clinical trials of Nasonex, 3903 allergy patients were randomly divided into two groups. The patients in the experimental group received Nasonex, while the patients in the control group received a placebo. Of the 2317 patients in the experimental group, 540 reported headaches as a side effect. Of the 1586 patients in the control group, 322 reported headaches as a side effect. Can you conclude that the proportion of patients in the experimental group who experienced headaches as a side effect was greater than the proportion in the control group? Use the `\alpha` = 0.02 level. a. State the null and alternative hypotheses. `H_{0}: p₁ ✓ `H_{1}: P₁ -3 -2 b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: + 1 Critical value(s): c. Find the test statistic. d. Find the p-value. P₂ + P₂ OF AA 3 -3 -2 -1 0 1 3 + + (If there are two critical values, list both values separated by a comma) + 0 1 2
Transcribed Image Text:In clinical trials of Nasonex, 3903 allergy patients were randomly divided into two groups. The patients in the experimental group received Nasonex, while the patients in the control group received a placebo. Of the 2317 patients in the experimental group, 540 reported headaches as a side effect. Of the 1586 patients in the control group, 322 reported headaches as a side effect. Can you conclude that the proportion of patients in the experimental group who experienced headaches as a side effect was greater than the proportion in the control group? Use the `\alpha` = 0.02 level. a. State the null and alternative hypotheses. `H_{0}: p₁ ✓ `H_{1}: P₁ -3 -2 b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: + 1 Critical value(s): c. Find the test statistic. d. Find the p-value. P₂ + P₂ OF AA 3 -3 -2 -1 0 1 3 + + (If there are two critical values, list both values separated by a comma) + 0 1 2
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