In a clinical trial, 26 out of 896 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.5% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclud that more than 2.5% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance? Because npo (1- Po) =O 10, the sample size is (Round to one decimal place as needed.) V 5% of the population size, and the sample the requirements for testing the hypothesis V satisfied. What are the null and alternative hypotheses? versus H, Họ: (Type integers or decimals. Do not round.) Find the test statistic, zo. Z0 = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Since P-value a, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.5% of the users experience flulike symptoms. O C. Since P-value a, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.5% of the users experience flulike symptoms.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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In a clinical trial, 26 out of 896 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.5% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude
that more than 2.5% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance?
Because npo (1- Po) =
10, the sample size is
5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho:
versus H1:
(Type integers or decimals. Do not round.)
Find the test statistic, zo.
Zo
(Round to two decimal places as needed.)
%3D
Find the P-value.
P-value =
(Round to three decimal places as needed.)
Choose the correct conclusion below.
A. Since P-value <a, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 2.5% of the users experience flulike symptoms.
B. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.5% of the users experience flulike symptoms.
C. Since P-value <a, reject the null hypothesis and conclude that there is sufficient evidence that more than 2.5% of the users experience flulike symptoms.
D. Since P-value > a, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.5% of the users experience flulike symptoms.
Transcribed Image Text:In a clinical trial, 26 out of 896 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.5% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.5% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance? Because npo (1- Po) = 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H1: (Type integers or decimals. Do not round.) Find the test statistic, zo. Zo (Round to two decimal places as needed.) %3D Find the P-value. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. A. Since P-value <a, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 2.5% of the users experience flulike symptoms. B. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.5% of the users experience flulike symptoms. C. Since P-value <a, reject the null hypothesis and conclude that there is sufficient evidence that more than 2.5% of the users experience flulike symptoms. D. Since P-value > a, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.5% of the users experience flulike symptoms.
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