In a clinical trial, 25 out of 884 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known 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 α = 0.01 level of significance?
Because np0(1-p0) = 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?
H0: versus H1:
(Type integers or decimals. Do not round.)
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 the correct conclusion below.
A. Since P-value > α, 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 < α, do not 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 > α, 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.
D. Since P-value < α, reject the null hypothesis and conclude that there is sufficient evidence that more than 2.6% of the users experience flulike symptoms.