Question

In a clinical trial, 25 out of 875 patients taking a prescription drug daily complained of flulike symptoms. Suppose that is known that 2.4% of patients taking competing drugs complain of Hulike symptoms. Is there sufficient evidence to conclude that more than 24% of this drug's user experience ke symptoms as a side ect at the 0.05 level of significance? less than 5% of the population size, and the sample can be reasonably assumed to be random the requirements for Because no (1-Po) 0 > 10, the sample sire is testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? versus H, NO (Type Integers or decima. Do not round.) Find the best statistic, H (Round to two decimal places as needed)

need help answering all parts please

Answer 1

SOLUTION:

From given data,

n = 875

x = 25

Significance level = $\alpha$ = 0.05

Sample proportion ($\hat{p}$) = x/n = 25/875 = 0.02857

The null and alternative hypothesis

$H_{0}$ : = 0.024

$H_{1}$ : > 0.024

Test Statistic is,

Z = ($\hat{p}$ - ) / sqrt((1-) / n )

Z = (0.02857 - 0.024) / sqrt(0.024(1-0.024) / 875 )

Z = 0.00457 / 0.0051740

Z = 0.8833