Question

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.)

Answer 1

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.