1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Thepotemich [5.8K]
2 years ago
9

a national survey conducted among a simple random sample of 1,507 adults shows that 56% of americans think the civil war is stil

l relevant to american politics and political life.
Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
6 0

a)

z=4.658\\p_v=P(z > 4.65)=1-P(z < 4.65)=1.581x*10^{-6}

b) By assuming a significance level of α = 0.05 and observing that p_v > α, we can reject the null hypothesis at this level of significance. And in this instance, it makes sense that more than 50% of Americans believe that the Civil War still has an impact on American politics and political life.

c) The confidence interval at 90% would be shown (0.527;0.593).

About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.

<h3>What is a survey?</h3>

A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population. Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers.

a)

1) The presented data and the notation "n=1507" refer to the random sample of Americans, "X" denoting the proportion of those Americans in the sample who believe that the Civil War is still significant to American politics and political life, and "p cap" denoting the estimated number of those Americans.

Since the problem specifies that majority  α=0.05 represents the significance threshold, p_0 is the number that we wish to test (no given, but is assumed)

Z would stand for the statistic (interesting variable), and p_v for the p value (variable of interest)

P is the percentage of the public that believes that the Civil War still has an impact on American politics and political life.

2) Useful concepts and formulas

The allegation that more Americans than 50% believe the Civil War is still significant to American politics and political life needs to be tested through a hypothesis (Majority). :

Alternative Hypothesis: p\geq 0.5

Null Hypothesis: p\leq 0.5

The proportion is thought to have a normal distribution.

This test for the percentage of union membership has one tail higher.

Verify whether the sample conforms to the presumptions required for the test to be applied.

a) The random sample must be representative; in this situation, there is no mention of this issue, but it is safe to presume that it exists.

b) The sample size must be sufficient.

np_0=1507*0.5=753.5 > 10\\n(1-p_0)=1507*(1-0.5)=753.5 > 10

3. Determine the statistic.

The formula used to calculate the statistic is as follows:

z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }= \frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1507} } }=4.658

P value= p_v=P(z > 4.65)=1-P(z < 4.65)=1.581*x*10^{-6}

According to the alternative hypothesis, the following would be the p value:

P value= p_v=P(z > 4.65)=1-P(z < 4.65)=1.581*x*10^{-6}

Using this formula, the confidence interval would be determined.

p ± z_{\frac{\alpha }{2}}\sqrt{\frac{p(1-p)}{n} }

With the value of \alpha and \alpha _2, we can get the quantile necessary for the interval in the normal standard distribution for the 90% confidence interval.

z_{\frac{\alpha }{2} }=2.58

adding the following to the formula for the confidence interval:

0.56-2.58\sqrt{\frac{0.56(1-0.56)}{1507} } = 0.527\\0.56+2.58\sqrt{\frac{0.56(1-0.56)}{1507} } = 0.593

Also provided would be the 90% confidence interval (0.527;0.593).

About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.

And because the interval does not contain the value of 0.5, we can conclude that, at a 90% level of confidence, the percentage of Americans who believe that the Civil War is still relevant to American politics and political life is higher than 0.5. This result is consistent with the result of part b.

To know more about survey, visit:

brainly.com/question/13192080

#SPJ4

You might be interested in
What is angle B?<br><br>A.110<br><br>B.48<br><br>C.55<br><br>D.96
lozanna [386]

Answer:

C

Step-by-step explanation:

Since it gives you the measurement of the are then you can figure out the angle. The arc is 2x as much as the angle.

110/2 = 55

5 0
3 years ago
There are 7 red 3 green 2 blue and 8 purple marbles in a bag if a marble is randomly chosen 250 times predict how many times it
kati45 [8]

Answer:

It should be red or green 125 times

Step-by-step explanation:

The first thing to do here is to calculate the probability of selecting a red or a green marble

Total number of marbles = 7 + 3 + 2 + 8 = 20

Probability of selecting a red marble is 7/20

Probability of selecting a green marble is 3/20

The probability of selecting a red or a green marble = Probability of selecting a red marble + Probability of selecting a green marble = 7/20 + 3/20 = 10/20 = 1/2

Now our selection spans 250 times, the number of times it should have been a green or a red marble = The probability of selecting a green or a red marble * number of selection times = 1/2 * 250 = 125 times

3 0
3 years ago
What is the answer to this equaction-8c+8=5c+2
Lyrx [107]

Answer: c=-2

Step-by-step explanation:

4 0
2 years ago
Help fast 100 points!!
Neporo4naja [7]

Answer:

86°

Step-by-step explanation:

Normally, the building stands at an angle of 90° to the ground (from horizontal)

so,

x = 90° - 4° = 86°

3 0
2 years ago
Read 2 more answers
What is the line slope of (10,5) and (1,9)
sveta [45]
Use the slope formula
y2-y1
m=---------
x2-x1
(rise-->y over run-->x)
so it would be
9-5
m=-------
1-10
and that would simplify to
4
----
-9
and that would be your slope.

Hope that helped :-)
7 0
3 years ago
Read 2 more answers
Other questions:
  • The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a
    10·1 answer
  • Marion is observing the launch of a space shuttle from the command center. When she first sees the shuttle, the angle of elevati
    14·1 answer
  • I cant start the problem but I most likely need the answer HELPPPPPPPPPP
    10·1 answer
  • Evaluate <br> 9C5<br> and <br> 11P4<br> .
    13·1 answer
  • Find the midpoint between P(-5, -3) and Q(-2,8).<br>(4 Points)<br>​
    15·1 answer
  • Give the function f(x) = x + 7<br>find f(5)​
    15·1 answer
  • Some please help, select all the intervals where g is increasing
    15·2 answers
  • Tina weighs 130 lb she enrolls in a fitness plan to reduce 10% of her body weight over a four month period. How many pounds did
    11·1 answer
  • License plates are made using letters followed by digits. How many plates can be made if repetition of letters and digits is​ al
    10·1 answer
  • Which expressionis equal to9(9MPLUS3t)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!