MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In
1941​,
an organization surveyed
1100
adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alcoholic​ beverages?" Of the
1100
adults​ surveyed,
429
indicated that they were total abstainers. In a recent​ survey, the same question was asked of
1100
adults and
374
indicated that they were total abstainers. Complete parts​ (a) and​ (b) below.
​(a) Determine the sample proportion for each sample.
 
The proportions of the adults who took the
1941
survey and the
recent
survey who were total abstainers are
. 39.39
and
. 34.34​,
respectively.
​(Round to three decimal places as​ needed.)
​(b) Has the proportion of adults who totally abstain from alcohol​ changed? Use the
α=0.05
level of significance.
 
First verify the model requirements. Select all that apply.
 
 
A.
The sample size is more than​ 5% of the population size for each sample.
 
B.
The samples are dependent.
 
C.
n1p11−p1≥10
and n2p21−p2≥10
Your answer is correct.
 
D.
The data come from a population that is normally distributed.
 
E.
The sample size is less than​ 5% of the population size for each sample.
Your answer is correct.
 
F.
The samples are independent.
Your answer is correct.
Identify the null and alternative hypotheses for this test. Let
p1
represent the population proportion of
1941
adults who were total abstainers and
p2
represent the population proportion of
recent
adults who were total abstainers.
 
Determine the null and alternative hypotheses.
 
H0​:
p1
equals=
 
p2
H1​:
p1
not equals≠
 
p2
Find the test statistic for this hypothesis test.
 
2.432.43
​(Round to two decimal places as​ needed.)
Determine the​ P-value for this hypothesis test.
 
0.0150.015
​(Round to three decimal places as​ needed.)
Interpret the​ P-value.
 
If the population proportions are
 
 
one would expect a sample difference proportion
 
 
the one observed in about
nothing
out of 100 repetitions of this experiment.
​(Round to the nearest integer as​ needed.)
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