In a clinical trial, 38 out of 950 patients taking a prescription dr g complaine

Question

In a clinical trial, 38 out of 950 patients taking a prescription dr g complained o flulike symptoms Suppose that t is known that 2.9% of patients taking competing drugs complain off ulike symptoms. Is there sufficient evidence to conclude that more than 2.9% of this drug's users experience flulike symptoms as a side effect at the ?-001 level of significance? What are the null and alternative hypotheses? Ho: p ?|versus H1 : p1 Use technology to find the P-value P-value = (Round to three decimal places as needed.) Choose the correct answer below. A. O B O c ?D. Since P value a, do not re ect the null hypothesis and conclude that there is not sufficient evidence at or than 2.9% of the users experience ulike symptoms. since P value??, do not re ect the null hypothesis and conclude that there is sufficient evidence hat more han 2.9% of the users experience flulike symptoms. Since P value> ? reect the null hypothesis and conclude that there is not sufficient evidence that more than 2.9% of the users experience flulike symptoms.

Explanation / Answer

Solution:

Here, we have to use Z test for population proportion. The null and alternative hypotheses for this test are given as below:

H0: p = 0.029 versus H1: p > 0.029

We are given

Level of significance = ? = 0.01

X = 38, N = 950, P = X/N = 38/950 = 0.04

Z = (P – p)/sqrt(p*(1 – p)/N)

Z = (0.04 – 0.029)/sqrt(0.029*(1 – 0.029)/950)

Z = 2.0204

P-value = 0.0217

P-value = 0.022

(By using excel)

P-value > ? = 0.01

So, we do not reject the null hypothesis

Since P-value > ?, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.9% of the users experience flulike symptoms.

Correct Answer: B

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