Question
A medical researcher says that less than 25% of adults in a certain country are smokers. In a random sample of 250 adults from thatcountry,
A medical researcher says that less than 25% of adults in a certain country are smokers. In a random sample of 250 adults from thatcountry, 18.4% say that they are smokers. At =0.05, is there enough evidence to support theresearcher's claim? Complete parts(a) through(e) below.
____________________________________________________
(a) Identify the claim and state H0 and Ha.
What is theclaim?
A.Exactly 18.4% of adults in the country are smokers.
B.Less than 25% of adults in the country are smokers.
C.Exactly 18.4% of all adults are smokers.
D.Less than 25% of all adults are smokers.
Identify H0 and Ha.
H0: p, <, >, or ______
Ha: p, <, >, , or _____
(Type integers ordecimals.)
(b) Find the criticalvalue(s) and identify the rejectionregion(s).
The criticalvalue(s) is/are z0=______.
(Round to three decimal places as needed. Use a comma to separate answers asneeded.)
Whatis/are the rejectionregion(s)? Select the correct choice below and fill in the answerbox(es) to complete your choice.
(Round to three decimal places asneeded.)
A. z>_____
B. z<_____and z>______
C. z<_____
(c) Find the standardized test statistic z.
z=______(Round to two decimal places asneeded.)
(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 or Reject H0. There is not or is enough evidence at the 5% level of significance to reject or support theresearcher's claim that less than 25% or exactly 18.4% of adults in the country or all adults are smokers.
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