Question

A certain region would like to estimate the proportion of voters who intend to participate in upcoming elections. A pilot sample of 25 voters found that 18 of them intended to vote in the election. Determine the additional number of voters that need to be sampled to construct a 96% interval with a margin of error equal to 0.07 to estimate the proportion.

Answer #1

Solution :

Given that,

=x/n = 18/25=0.72

1 - = 1 - 0.72 = 0.28

margin of error = E =0.07

At 96% confidence level the z is ,

Z/2 = 2.05 Using z table

Sample size = n = (Z/2 / E)2 * * (1 - )

= (2.05 / 0.07)2 * 0.72*0.28

= 172.9

=173 rounded

A certain region would like to estimate the proportion of voters
who intend to participate in upcoming elections. A pilot sample of
25 voters found that 17 of them intended to vote in the election.
Determine the additional number of voters that need to be sampled
to construct a 96?% interval with a margin of error equal to 0.05
to estimate the proportion.

A certain region would like to estimate the proportion of voters
who intend to participate in upcoming elections. A pilot sample of
25 voters found that 21 of them intended to vote in the election.
Determine the additional number of voters that need to be sampled
to construct a 98?% interval with a margin of error equal to 0.04
to estimate the proportion.

Suppose a hospital would like to estimate the proportion of
patients who feel that physicians who care for them always
communicated effectively when discussing their medical care. A
pilot sample of 40 patients found that 18 reported that their
physician communicated effectively. Determine the additional number
of patients that need to be sampled to construct a 95% confidence
interval with a margin of error equal to 3% to estimate this
proportion.

A survey of 250 voters was conducted to determine who they would
vote for in an upcoming election for sheriff. Fifty-five percent
said they would vote for Longmire.
A/ What is the best unbiased estimate of the population
proportion that will vote for Longmire (in other words, what is
?)
B/ Find the margin of error E that corresponds to a 90% confidence
Interval.
C/ Construct the 90% confidence interval about the population
proportion p.
D/ Based on your results,...

Before elections polling companies survey voters. They want to
estimate the proportion of voters who plan to vote for each
candidate . As the election gets closer polling companies often use
larger sample sizes in their surveys. Why they do this? Alarger
size gives more voters the opportunity to give their opinion A
sample site help fix poor sampling methods. With a larger sample
size the polling company can be certain that their sample results
exactly match the population Alarger...

You wish to estimate the proportion of registered voters who
plan to vote for Candidate Cal Q. Later in the upcoming election.
To do this, you will take a random sample of all registered voters.
A poll last month showed Cal with 70% of the votes. How big a
sample do you need for a margin of error of four percentage points
and a confidence level of 90%?

A random sample of registered voters were asked about an issue
on the ballot of an upcoming election. The proportion of those
surveyed who plan to vote "Yes" on the issue is 0.54 , with a
margin of error of 0.06 . Construct a confidence interval for the
proportion of registered voters that plan to vote "Yes" on the
issue.

The U.S. Department of Transportation would like to estimate the
proportion of drivers that are uninsured in the state of
Mississippi. A pilot sample of 60 drivers from Mississippi found
that 18 were uninsured. Determine the total sample size needed to
construct a 99% confidence interval for the proportion of uninsured
drivers in Mississippi with a margin of error equal to 5%.
Use the z-score with three decimal places, Remember the rounding
policy for sample size

The U.S. Department of Transportation would like to estimate the
proportion of drivers that are uninsured in the state of
Mississippi. A pilot sample of 60 drivers from Mississippi found
that 18 were uninsured. Determine the total sample size needed to
construct a 99% confidence interval for the proportion of uninsured
drivers in Mississippi with a margin of error equal to 5%. (Use the
z-score with three decimal places, Remember the rounding policy for
sample size))

6) A newspaper polls 58 voters to ask which candidate for mayor
the supported in an upcoming election.
Of the 58 people polled, 20 said that they intended to vote for
Candidate Jones.
a) Find a 99% confidence interval for the true proportion of
people in the city who plan to vote for Candidate Jones.
b) Provide the margin of error of the interval as your
answer.
Round your answer to 4 decimal places.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 10 minutes ago

asked 27 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 34 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 46 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago