Question

A medical researcher says that less than 24​%of adults in a certain country are smokers. In a random sample of 250 adults from that​ country,18.8​% say that they are smokers. At

alphaαequals=0.05, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.​(a) Identify the claim and stateUpperH0and Upper H Subscript aHa.

What is the​ claim?

A.Less than 24​%of all adults are smokers.

B.Exactly 18.8​%of all adults are smokers.

C.Exactly 18.8​% of adults in the country are smokers.

D.Less than 24​%of adults in the country are smokers.Identify

Upper H0 and Upper H Subscript aHa.Upper H0​:

less than<greater than or equals≥greater than>less than or equals≤nothing

Upper H Subscript aHa​:

greater than>less than or equals≤not equals≠less than<greater than or equals≥nothing

​(Type integers or​ decimals.)

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

The critical​ value(s) is/arez 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<nothingandzgreater than>nothing

B.zless than<nothing

C.zgreater 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.

Reject or Fail to reject Upper H 0H0.

There is not or is enough evidence at the 55​%level of significance to support or reject the​ researcher's claim that less than 24% or exactly 18.8% of all adults or adults in the country are smokers.

Answer 1