In a survey of 210 males ages 20 to​ 24, 38​% were neither in school nor working. In a survey of 220 females ages 20 to​ 24, 45​% were neither in school nor working. These samples are random and independent. At α=0.06​, can you support the claim that the proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who were neither in school nor​ working? Complete parts​ (a) through​ (e) below. ​(a) Identify the claim and state H0 and Ha. ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   The critical​ value(s) is(are) nothing. ​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.) Identify the rejection​ region(s). Choose the correct answer below.       ​(c) Find the standardized test statistic.   z= ​(Round to two decimal places as​ needed.) ​Decide whether to reject or fail to reject the null hypothesis.   Choose the correct answer below.

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8.4.2 B. 

In a survey of
210
males ages 20 to​ 24,
38​%
were neither in school nor working. In a survey of
220
females ages 20 to​ 24,
45​%
were neither in school nor working. These samples are random and independent. At
α=0.06​,
can you support the claim that the proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who were neither in school nor​ working? Complete parts​ (a) through​ (e) below.
​(a) Identify the claim and state
H0
and
Ha.
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
The critical​ value(s) is(are)
nothing.
​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)
Identify the rejection​ region(s). Choose the correct answer below.
 
 
 
​(c) Find the standardized test statistic.
 
z=
​(Round to two decimal places as​ needed.)
​Decide whether to reject or fail to reject the null hypothesis.
 
Choose the correct answer below.
 
Fail to reject
H0.
 
Reject
H0.
Interpret the decision in the context of the original claim.
 
Choose the correct answer below.
 
A.
At the
6​%
significance​ level, there is
insufficient
evidence to support the claim.
 
B.
At the
6​%
significance​ level, there is
sufficient
evidence to reject the claim.
 
C.
At the
6​%
significance​ level, there is
insufficient
evidence to reject the claim.
 
D.
At the
6​%
significance​ level, there is
sufficient
evidence to support the claim.
 
 
 
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