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
Ella used three fourths of lemons to make one half liters of lemonade. If ella's recipe is for 1 liter of lemonade, how many lem
DiKsa [7]

Answer:

the number of lemons required is 6

Step-by-step explanation:

The computation of the number of lemons she required to make the 4 times the receipe is shown below;

Given that

She used three fourth of lemons for make one half liters of lemonade

Now for four times she required the lemons

= (3 ÷ 4) × 2 × 4

= 6

Hence, the number of lemons required is 6

8 0
2 years ago
Find the length of y
Nostrana [21]

Answer:

<em>25 cm</em>

Step-by-step explanation:

3 0
2 years ago
Two accounts earn simple interest. The balance yy (in dollars) of Account A after xx years can be modeled by y=10x+500y=10x+500.
GrogVix [38]
1)
A has a greater principal

2) 
Principal of A is $500, the principal of B is $400, so A's principal is greater by $100

3)
Annual interest rate of A:
10/500 x 100
interest rate of A = 2%
The interest rate of B is higher.

4)
B's annual interest rate is 5% and A's annual interest rate is 2%, so B's is higher by 3%.
6 0
3 years ago
PlEase explain where the decimal and zero comes in for 4840/90?
Anika [276]

Answer:

Read my explanation

Step-by-step explanation:

Since they both end with a 0, you can just cancel it out. So you'd have 484/9.

The answer to that is 53.7777777777...

So the decimal would come before the 3 and after the 7.

I hope this helped and have a good rest of your day!

6 0
3 years ago
Mariana signed up for a streaming music service that costs $7 per month. The service allows Mariana to listen to unlimited music
valkas [14]

Answer:

50$

Step-by-step explanation:

$1.25x40= 50 so she would have to pay 50$

8 0
2 years ago
Other questions:
  • 23,579<br> 38,743<br> 65,559<br> +66.559
    10·1 answer
  • Solve for e.<br> I need help I have to hurry and turn this in!!
    13·1 answer
  • Can you help me please?
    13·2 answers
  • What is the quotient for 3/18 divided 7/21
    10·2 answers
  • How do I factor the equation in writing this question?
    15·1 answer
  • Can someone help?<br> Question above.<br> Thank you!
    12·2 answers
  • Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x
    13·1 answer
  • Midterm exam pls help
    5·1 answer
  • • Check your work when you're done.
    14·1 answer
  • Can someone help me with this ASAP please I’m being timed !
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!