Question

In a random sample of 400 registered voters, 144 indicated they plan to vote for Candidate A.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for Candidate A.

Value from the appropriate table=

Margin of error=

Lower limit of C.I.=

Upper limit of C.I.=

Answer #1

**n = 400**

**
= proportion of registered voters who vote A**

**
= 144/400**

**
= 0.36**

**Margin of error = critical
value
SE**

**SE = [(1-
)/n] ^{1/2} **

**= [0.36(1 -
0.36)/400] ^{1/2} **

**= 0.024**

**Margin of error =
1.96
0.024**

**=
0.04704**

**95% confidence interval is
given by**

**
+/- 1.96 [(1-
)/n] ^{1/2} **

**0.36 +/-
1.96(0.024)**

**0.36 +/-
0.04704**

**0.36 - 0.04704, 0.36 +
0.04704**

**0.31296 ,
0.40704**

**confidence interval
is [0.31296 , 0.40704 ]**

**lower limit =
0.31296**

**upper limit =
0.40704**

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%?

In a randomly selected sample of 400 registered voters in a
community, 160 individuals say that they plan to vote for Candidate
Y in the upcoming election.
(a) Find the sample proportion planning to vote for Candidate Y.
(Round your answer to two decimal places.)
(b) Calculate the standard error of the sample proportion. (Round
your answer to three decimal places.)
(c) Find a 95% confidence interval for the proportion of the
registered voter population who plan to vote for...

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.

In a random sample of 212 potential voters registered in the
state of Florida, 80 indicated that they planned to vote in the
next general election. In an independently chosen, random sample of
237 potential voters registered in Kentucky, 69 indicated that they
planned to vote in the next general election. Can we conclude, at
the 0.01 level of significance, that the proportion p 1 of all
potential voters in Florida who plan to vote is greater than the
proportion...

A random sample of likely voters showed that 35% planned to
vote for Candidate A, with a margin of error of 2% points and with
90% confidence.
Which of the following statements best describes the
confidence interval for the percentage of voters who plan to vote
for Candidate A.
I am 90% confident that the population percentage of voters
supporting Candidate A is between 33% and 37%.
I am 90% confident that the population percentage of voters
supporting Candidate A...

In a randomly selected sample of 500 registered voters in a
community, 240 individuals say that they plan to vote for Candidate
Y in the upcoming election.
Find a 95% confidence interval for the proportion of the
registered voter population who plan to vote for Candidate Y.
(Round your answers to three decimal places.)
Find a 98% confidence interval for the proportion of the
registered voter population who plan to vote for Candidate Y.
(Round your answers to three decimal...

A random sample of ?=1000 registered voters and found that 520
would vote for the Republican candidate in a state senate race. Let
? represent the proportion of registered voters who would vote for
the Republican candidate.
Consider testing
?0:?=.50
??:?>.50
(a) The test statistic is ?z =
(b) Regardless of what you acutally computed, suppose your
answer to part (a) was z = 1.28. Using this z, p-value =

From a SRS of 1000 registered voters in the U.S., 75% said that
they planned to vote in the next national election. Find a 95%
confidence interval estimate for the population proportion of
registered voters in the United States who plan to vote in the next
general election.
a) Find the margin of error
b) Construct the endpoints of the
interval
c) Write the interval

In a recent poll, 134 registered voters who planned to
vote in the next election were asked if they would vote for a
particular candidate and 80 of these people responded that they
would. We wish to predict the proportion of people who will vote
for this candidate in the election.
a) Find a point estimator of the proportion who would vote for
this candidate.
b) Construct a 90% confidence interval for the true proportion
who would vote for this...

In a recent poll, 134 registered voters who planned to vote in
the next election were asked if they would vote for a particular
candidate and 80 of these people responded that they would. 1. 1.
We wish to predict the proportion of people who will vote for this
candidate in the election.
a) Find a point estimator of the proportion who would vote for
this candidate.
b) Construct a 90% confidence interval for the true proportion
who would vote...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 17 minutes ago

asked 18 minutes ago

asked 19 minutes ago

asked 19 minutes ago

asked 26 minutes ago

asked 35 minutes ago

asked 46 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago