Question

A researcher wishes to estimate, with 95% confidence, the population of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 4% of the true proportion.

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample size needed, using a prior study that found that 44% of the respondents said they think Congress is doing a good or excellent job.

(c) Compare the results from parts (a) and (b).

Answer #1

(a)

(b)

(c) Part (b) sample size is smaller.

A researcher wishes to estimate, with 95% confidence, the
population proportion of adults who think Congress is doing a good
or excellent job. Her estimate must be accurate within 3% of the
true proportion.
(a) No preliminary estimate is available. Find the minimum
sample size needed.
(b) Find the minimum sample size needed, using a prior study
that found that 36% of the respondents said they think Congress is
doing a good or excellent job.
(c) Compare the results from...

A
researcher wishes to estimate, with
9595%
confidence, the
population proportion of adults who think Congress is doing a good
or excellent job. Her estimate must be accurate within
33%
of
the true proportion.
(a) No
preliminary estimate is available. Find the minimum sample size
needed.
(b) Find
the minimum sample size needed, using a prior
study that found that
4040%
of
the respondents said they think Congress is doing a good or
excellent job.
(c) Compare the results
from...

A researcher wishes to estimate, with 90% confidence, the
population proportion of adults who think Congress is doing a good
or excellent job. Her estimate must be accurate within 1% of the
true proportion. (a) No preliminary estimate is available. Find
the minimum sample size needed. (b) Find the minimum sample size
needed, using a prior study that found that 40% of the respondents
said they think Congress is doing a good or excellent job. (c)
Compare the results from...

A researcher wishes to estimate, with 90% confidence, the
population proportion of adults who think Congress is doing a good
or excellent job. Her estimate must be accurate within 22% of the
true proportion.
(a) No preliminary estimate is available. Find the minimum
sample size needed.
(b) Find the minimum sample size needed, using a prior study
that found that 26% of the respondents said they think Congress is
doing a good or excellent job.
(c) Compare the results from...

A researcher wishes to estimate, with 90% confidence, the
population proportion of adults who think Congress is doing a good
or excellent job. Her estimate must be accurate within 33% of the
true proportion.
(a) No preliminary estimate is available. Find the minimum
sample size needed.
(b) Find the minimum sample size needed, using a prior study
that found that 42%
of the respondents said they think Congress is doing a good or
excellent job.
(c) Compare the results from...

A researcher wishes to estimate, with 95%
confidence, the population proportion of adults who think the
president of their country can control the price of gasoline. Her
estimate must be accurate within 5% of the true proportion.
a) No preliminary estimate is available. Find the minimum
sample size needed.
b) Find the minimum sample size needed, using a prior study
that found that
22%
of the respondents said they think their president can control
the price of gasoline.
c) Compare...

A researcher wishes to estimate, with 99% confidence, the
population proportion of adults who think the president of their
country can control the price of gasoline. Her estimate must be
accurate within 2% of the true proportion.
a) No preliminary estimate is available. Find the minimum
sample size needed.
b) Find the minimum sample size needed, using a prior study
that found that 38% of the respondents said they think their
president can control the price of gasoline.
c) Compare...

A researcher wishes to estimate, with 99% confidence, the
population proportion of adults who think the president of their
country can control the price of gasoline. Her estimate must be
accurate within 2% of the true proportion.
a) No preliminary estimate is available. Find the minimum
sample size needed.
b) Find the minimum sample size needed, using a prior study
that found that 32% of the respondents said they think their
president can control the price of gasoline.
c) Compare...

A researcher wishes to estimate, with 95% confidence, the
population proportion of adults who are confident with their
country's banking system. His estimate must be accurate within 4%
of the population proportion. (a) No preliminary estimate is
available. Find the minimum sample size needed. (b) Find the
minimum sample size needed, using a prior study that found that
28% of the respondents said they are confident with their
country's banking system. (c) Compare the results from parts (a)
and (b).

A researcher wishes to estimate, with 90% confidence, the
population proportion of adults who think the president of their
country can control the price of gasoline. Her estimate must be
accurate within 4% of the true proportion. No preliminary estimate
is available. Find the minimum sample size needed. Find the minimum
sample size needed, using a prior study that found that 28% of the
respondents said they think their president can control the price
of gasoline. Compare the results. What...

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