Question

A medical researcher says that less than

2323​%

of adults in a certain country are smokers. In a random sample of

200200

adults from that​ country,

16.516.5​%

say that they are smokers. At

alphaαequals=0.050.05​,

is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.​(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the​ claim?

A.Less than

2323​%

of all adults are smokers.

B.Less than

2323​%

of adults in the country are smokers.

C.Exactly

16.516.5​%

of all adults are smokers.

D.Exactly

16.516.5​%

of adults in the country are smokers.Identify

Upper H 0H0

and

Upper H Subscript aHa.

Upper H 0H0​:

p

▼

greater than>

greater than or equals≥

less than or equals≤

less than<

nothing

Upper H Subscript aHa​:

p

▼

greater than or equals≥

not equals≠

less than or equals≤

less than<

greater than>

nothing

​(Type integers or​ decimals.)

​(b) Find the critical​ value(s) and identify the rejection​ region(s).

The critical​ value(s) is/are

z 0z0equals=nothing.

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

What​ is/are the rejection​ region(s)? Select the correct choice below and fill in the answer​ box(es) to complete your choice.

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

A.

zless than<nothing

and

zgreater than>nothing

B.

zgreater than>nothing

C.

zless than<nothing

​(c) Find the standardized test statistic z.

zequals=nothing

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

​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.

▼

Fail to reject

Reject

Upper H 0H0.

There

▼

is not

is

enough evidence at the

55​%

level of significance to

▼

support

reject

the​ researcher's claim that

▼

less than 23%

exactly 16.5%

of

▼

adults in the country

all adults

are smokers.

Answer 1