Five years ago, 10.5% of high school students had tried marijuana for the first
ID: 3317906 • Letter: F
Question
Five years ago,
10.5%
of high school students had tried marijuana for the first time before the age of 13. A school resource officer (SRO) thinks that the proportion of high school students who have tried marijuana for the first time before the age of 13 has
increased
since then.
(a) Determine the null and alternative hypotheses. Which of the following is correct?
A.
Upper H 0H0:
p=0.105;
Upper H 1H1:
p0.105
B.
Upper H 0H0:
pequals=0.105;
Upper H 1H1:
p>0.105
C.
Upper H 0H0:
p=0.105;
Upper H 1H1:
p<0.105
(b) Suppose sample data indicate that the null hypothesis
should notshould not
be rejected. State the conclusion of the researcher.
A.
There
is not
sufficient evidence to conclude that the proportion of high school students has
increasedincreased.
B.
There
is
sufficient evidence to conclude that the proportion of high school students has
increased.
C.
There
is not
sufficient evidence to conclude that the proportion of high school students has stayed the same.
D.
There
is
sufficient evidence to conclude that the proportion of high school students has stayed the same.(c) Suppose, in fact, that the proportion of high school students who have tried marijuana before the age of 13 was
10.9%.
Was a type I or type II error committed?
A.
The SRO committed a type
Upper II
error because he
did not rejectdid not reject
the null hypothesis
when
the
alternative
hypothesis
is true.
B.
The SRO committed a type
II
error because he
did not rejectdid not reject
the null hypothesis
when
the
alternative
hypothesis
is true.
C.
The SRO committed a type
Upper II
error because he
accepted
the null hypothesis
when
the
alternative
hypothesis
is true.
D.
The SRO committed a type
II
error because he
accepted
the null hypothesis
when
the
alternative
hypothesis
is true.
Explanation / Answer
Q1 Answer: B. ) H0: p=0.105; H1: p>0.105
Q 2 Answer: A.) There is not sufficient evidence to conclude that the proportion of high school students has
increased.
Q 3) Answer: B.) The SRO committed a type IIerror because he did not rejectdid not reject the null hypothesis when the alternative hypothesis is true.
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