In a clinical trial, 23 out of 874 patients taking a prescription drug daily complained of flu-like symptoms. Suppose that it is known that 2.1% of patients taking competing drugs complain of flu-like symptoms. Is there sufficient evidence to conclude that more than 2.1% of this drug's users experience flu-like symptoms as a side effect at the α=0.01 level of significance?
Because np0(1−p0)≥10, the sample size is greater than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.)
What are the null and alternative hypotheses?
H0: p = 0.021
H1: p > 0.021
(Type integers or decimals. Do not round.)
Find the test statistic, z0.
z0 = (p̂ - p0) / √(p0(1-p0)/n)
(Round to two decimal places as needed.)
Find the P-value.
P-value = P(Z > z0)
(Round to three decimal places as needed.)
Choose the correct conclusion below.
A. Since P-value > α, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.1% of the users experience flu-like symptoms.
B. Since P-value > α, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.1% of the users experience flu-like symptoms.
C. Since P-value < α, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 2.1% of the users experience flu-like symptoms.
D. Since P-value < α, reject the null hypothesis and conclude that there is sufficient evidence that more than 2.1% of the users experience flu-like symptoms.