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
jeka57 [31]
3 years ago
11

Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority

of Americans. A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval
Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Answer:

The 95% confidence interval of  the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. This means that n = 4000 and \pi = \frac{2250}{4000} = 0.5625

Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 - 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5471

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 + 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5779

The 95% confidence interval of  the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

You might be interested in
Sort the following numbers from least to greatest.<br> 18.5635, 18 13/16, 18.3125
Vikki [24]

Answer:

18.3125

18.5635

18 13/16

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What does it mean if a project has a Percent Spent of 90%, Percent Scheduled of 85%, and a Percent Complete of 95%
shtirl [24]

Answer:

It means that the project is in good shape, within budget an d it would finish early

Step-by-step explanation:

The answer to this question is pretty straight forward. If a project has the percent spent fine 90 percent, the scheduled has percentage of 85 percent and the complete is at the percentage of 95, what it means is that this project is in good shape, the project being carried out is still being done within the proposed budget and at 95% complete, it means that the project is going to finish early.

8 0
2 years ago
If x-12y=-210and x-6y=90 then x =
Whitepunk [10]

Answer:

90

Step-by-step explanation:

x

−

12

y

=

−

210

=

=

−

210

x

−

6

y

=

90

=

=

90

x

=

=

90

6 0
2 years ago
soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280
erma4kov [3.2K]
Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal
6 0
3 years ago
I NEED HELP GIVE CROWN
monitta

Answer:

B, $1.32

Step-by-step explanation:

100 grams is 0.1 kilograms, and 25 grams is 0.025 kilograms. The difference is 0.075 kilograms. At $17.60 per kilogram, 0.075 kilograms would cost  $1.32 or answer choice B.

6 0
2 years ago
Other questions:
  • Find the surface area of the rectangular and triangular prisms
    6·1 answer
  • Solve the system by substitution <br> 2.5x-3y=-13<br> 3.25x-y=-14
    13·2 answers
  • 15 points plz help
    13·1 answer
  • after serious negotiating you got $25 discount a pair of sneakers if the original price of the sneakers was $125 what percentage
    12·1 answer
  • Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
    8·1 answer
  • Whoever can help me with my math i will mark brainliest
    10·2 answers
  • Identify which shapes are similar to shape A and which are not.
    10·2 answers
  • Factorize:<br>3a^2 + 10a + 3​
    9·1 answer
  • 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period
    11·1 answer
  • The graph of y=f(x) is the solid black graph below. Whoch function represents the dotted line
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!