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.
The sample size is more than 5% of the population size for each sample.
The samples are dependent.
n1p11−p1≥10
and n2p21−p2≥10The data come from a population that is normally distributed.
The sample size is less than 5% of the population size for each sample.
The samples are independent.
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
p2
equals=
H1:
p1
p2
not equals≠
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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