Question

In a clinical trial, 25 out of 881 patients taking a prescription drug complained of flulike symptoms. Suppose that it is know that 2.6% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.6% of this drug's users experience flulike symptoms as a side effect at the (alpha) a=0.1 level of significance?

1) What are the null and alternative hypotheses?

2) What is the test statistic?

3) What is the P-value?

4) Choose the correct conclusion below:

A. Since P-value > (alpha) a, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.6% of the users experience flulike symptoms.

B. Since P-value < (alpha) a, reject the null hypothesis and conclude that there is sufficient evidence that more than 2.6% of the users experience flulike symptoms.

C. Since P-value > (alpha) a, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.6% of the users experience flulike symptoms.

D. Since P-value < (alpha) a, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 2.6% of the users experience flulike symptoms.

Answer 1

1)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.026
Alternative Hypothesis, Ha: p > 0.026

2)

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.0284 - 0.026)/sqrt(0.026*(1-0.026)/881)
z = 0.45

3)

P-value Approach
P-value = 0.3264
As P-value >= 0.1, fail to reject null hypothesis.

4)
A. Since P-value > (alpha) a, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.6% of the users experience flulike symptoms.