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 : p_{0} = .0.016

Ha : p_{0} 0.016

and alpha = 0.01

since np_{0}(1-p_{0}) = 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.

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