Question

In one state, 52% of the voters are Republicans, and 48% are Democrats. In a second state, 47% of the voters are Republicans, and 53% are Democrats. Suppose a simple random sample of 100 voters are surveyed from each state.

What is the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state?

Answer #1

In a given county, records show that of the registered voters,
50% are Democrats, 35% are Republicans, and 15% are
Independents. In an election, 80% of the Democrats, 40% of the
Republicans, and 90% of the Independents voted in favor of a parks
and recreation bond proposal. If a registered voter chosen at
random is found to have voted in favor of the bond, what is the
probability that the voter is a Republican?

In a certain town, there are 4,000 registered voters, of whom
1,600 are Democrats. A survey organization is about to take a
random sample of 100 registered voters.
(a) There is about a 50-50 chance that the percentage of
Democrats in the sample will be bigger than _____.
(b) Find the expected value for the sample percentage,
(c) Find the standard error for the sample percentage.
(d) Find the chance that 30% or more of the people in sample are...

Suppose 60% of the registered voters in a country are Democrats.
If a sample of 793 voters is selected, what is the probability that
the sample proportion of Democrats will be greater than 64%? Round
your answer to four decimal places.

The Louisiana State Senate contains 14 Democrats and 25
Republicans. A committee of 4 members is being selected. Use this
information to answer the following.
Step 1 of 5: If the committee is selected at random, what is the
probability that all of the members are Democrats?
Step 2 of 5:
If the committee is selected at random, what is the probability
that all of the members are Republicans?
Step 3 of 5:
If the committee is selected at random,...

In a state legislature the elected representatives include 1717
Democrats,1111 Republicans, and 33 .Independents. What's the
probability that a random selection of 6 legislators would include
2 of each?

1) Because of population growth, the state of Washington has
been given an additional seat in the House of Representatives,
making a total of ten. The state legislature, which is currently
controlled by the Republicans, needs to develop a plan for
redistricting the state. There are 18 major cities in the state of
Washington that need to be assigned to 1 of the 10 congressional
districts. The next table gives the numbers of registered democrats
and registered republicans in each...

Suppose candidate A is favored over candidate b by 52% to 48%. A
random sample of voters is selected.
A)if the number in the sample is 70, what is the probability
that the sample will indicate that candidate b wins
(erroneously)?
B)Determine the minimum sample size needed to insure the
probability of an erroneous results would be less than 6.5%?

The proportion of eligible voters in the State election who will
vote for the Premier is assumed to be 53%. What is the probability
that in a random sample of 500 voters more than 53% say they will
vote for the Premier?
a.
0.7765
b.
0.0734
c.
0.2341
d.
0.9336
e.
0.5000

The proportion of eligible voters in the State election who will
vote for the incumbent is assumed to be 50%. What is the
probability that in a random sample of 400 voters less than 48% say
they will vote for the incumbent?

The data below represents the gender and political affiliation
of 100 randomly selected voters at a voting site. Suppose you
select a voter at random from this sample. Answer the following
questions.
Women
Men
Republicans
22
28
Democrats
23
14
Independents
5
8
1. What is the probability that you select a man? Use
cell references to find your answers.
a.Number of Men
b.Total Number of Voters
c.Probability of Selecting a Man
2. What is the probability of selecting a...

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