Question

In a clinical​ trial,

22

out of

869

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

2.1​%

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

2.1​%

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

alpha equals 0.01α=0.01

level of​ significance?

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

▼

not equals≠

equals=

greater than>

less than<

​10, the sample size is

▼

less thanless than

greater thangreater than

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

▼

is given to be random,

cannot be reasonably assumed to be random,

is given to not be random,

can be reasonably assumed to be random,

the requirements for testing the hypothesis

▼

are not

are

satisfied.

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

What are the null and alternative​ hypotheses?

Upper H 0H0​:

▼

muμ

pp

sigmaσ

▼

not equals≠

greater than>

equals=

less than<

nothing versus

Upper H 1H1​:

▼

sigmaσ

muμ

pp

▼

greater than>

less than<

equals=

not equals≠

nothing

​(Type integers or decimals. Do not​ round.)

Find the test​ statistic,

z 0z0.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)

Find the​ P-value.

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

Choose the correct conclusion below.

A.Since

​P-valuegreater than>alphaα​,

rejectreject

the null hypothesis and conclude that there

is notis not

sufficient evidence that more than

2.12.1​%

of the users experience flulike symptoms.

B.Since

​P-valuegreater than>alphaα​,

do not rejectdo not reject

the null hypothesis and conclude that there

is notis not

sufficient evidence that more than

2.12.1​%

of the users experience flulike symptoms.

C.Since

​P-valueless than<alphaα​,

rejectreject

the null hypothesis and conclude that there

isis

sufficient evidence that more than

2.12.1​%

of the users experience flulike symptoms.

D.Since

​P-valueless than<alphaα​,

do not rejectdo not reject

the null hypothesis and conclude that there

isis

sufficient evidence that more than

2.12.1​%

of the users experience flulike symptoms.

Answer 1