Question

In a clinical trial, 18 out of 868 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.7% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.7% of this drug's users experience flulike symptoms as a side effect at the α=0.01 level of significance?

Because np 0 (1 minus p 0) = ▼ < ≠ > = 10, the sample size is ▼ less than greater than 5% of the population size, and the sample ▼ is given to be random, can be reasonably assumed to be random, is given to not be random, cannot be reasonably assumed to be random, the requirements for testing the hypothesis ▼ are are not satisfied. (Round to one decimal place as needed.)

Find the test statistic, z0.

z0=______ (Round to two decimal places as needed.)

Find the P-value.

P-value=______ (Round to three decimal places as needed.)

Choose correct answer:

A. Since P-value>α, reject the null hypothesis and conclude that there is not sufficient evidence that more than 1.7% of the users experience flulike symptoms.

B. Since P-value<α, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 1.7% of the users experience flulike symptoms.

C. Since P-value <α, reject the null hypothesis and conclude that there is sufficient evidence that more than 1.7% of the users experience flulike symptoms.

D. Since P-value>α, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 1.7% of the users experience flulike symptoms.

Answer 1

Given : n=868 , X=18 , ,

The sample proportion , p=X/n=18/868=0.0207

Here ,

The sample size 868 greater than the 5% of the population size and the sample 868 is given to be random.

Hypothesis : Vs

The test statistic is ,

P-value =

Here , P-value = 0.212 >

Therefore , do not reject the null hypothesis.

D. Since P-value>α, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 1.7% of the users experience fluelike symptoms.