A research center reports on a survey taken in which they asked whether respondents have heard good
Question:
A research center reports on a survey taken in which they asked whether respondents have heard "good news" about the job market. They compared those making
$30,000
or less per year with those making between
$31,000
and
$74,000.
We'll label the population of those making less than
$30,000
as population 1 (low income), and those making between
$31,000
and
$74,000
as population 2 (middle income). A
90%
confidence interval for the difference in proportions, 1 (low) minus 2 (middle) is
(−0.09,0.05).
Interpret this confidence interval. If the interval contains 0, indicate what this means. Explain the meaning of positive and/or negative values.
I am 90% confident
I am 10% confident
There is a 10% chance
There is a 90% chance
I am 95% confident
that the difference in
population proportions
population proportions
sample proportions
sample standard deviations
population standard deviations
(low income−middle income)
is between
negative 0.09−0.09
and
0.050.05.
(Type integers or decimals. Do not round. Use ascending order.)
The interval
captures
captures
does not capture
0, suggesting that it
is
is
is not
plausible that
the population proportions are the same.
the samples came from the same population.
the population proportions are the same.
the population standard deviations are the same
one of the population proportions is 0.
Since the boundary values
have opposite signs,
are both negative,
are both positive,
have opposite signs,
we
cannot conclude that a different
can conclude that a lesser
cannot conclude that a different
can conclude that a greater
percentage of low-income individuals have heard "good news" about the job market compared to middle-income individuals.