Question

# In a clinical​ trial, 18 out of 884 patients taking a prescription drug daily complained of...

In a clinical​ trial,

18

out of

884

patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that1.6​%

of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than

1.6​%

of this​ drug's users experience flulike symptoms as a side effect at the

alpha equals 0.1α=0.1

level of​ significance?

Because np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing

equals=

not equals≠

less than<

greater than>

​10, the sample size is

less thanless than

greater thangreater than

​5% of the population​ size, and the sample

is given to not be random,

can be reasonably assumed to be random,

cannot be reasonably assumed to be random,

is given to be random,

the requirements for testing the hypothesis

satisfied.

​(Round to one decimal place as​ needed.)

we have given x = 18 n = 884

proportion of patients taking drugs daily () = 18/884 = 0.02

H0 : p0 = .0.016

Ha : p0 0.016

and alpha = 0.01

since np0(1-p0) = 884*0.016(1-0.016) =13.92> 10

and sample size is less than 5% of population size and sample is can be reasonably assumed to be random ]so all the assumptions of hypothesis testing is satisfied

z = = = 1.034

The p-value is p = 0.3013, and since p=0.3013≥0.05, it is concluded that the null hypothesis is not rejected.