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
Levart [38]
3 years ago
6

When 2251 voters were polled, 52% said they were voting yes on an initiative measure. find the margin of error and an interval t

hat is likely to contain the true population proportion. ±2.1%; between 49.9% and 54.1% ±21%; between 31% and 73% ±4.7%; between 47.3% and 56.7% ±47.4%; between 4.6% and 99.4%?
Mathematics
1 answer:
expeople1 [14]3 years ago
5 0
The margin of error for a sample proportion is given by
z_{\alpha/2}\sqrt{ \frac{p(1-p)}{n} }
where: z_{\alpha/2} is the z score associated with the confidence level, p is the sample prortion and n is the sample size.
We assume a confidence level of 95%, then z_{\alpha/2}=1.96
p = 52% = 0.52 and n = 2251

Therefore, margin of error =
 z_{\alpha/2}\sqrt{ \frac{p(1-p)}{n} }= 1.96\times \sqrt{ \frac{0.52(1-0.52)}{2251} }  \\ = 1.96\times \sqrt{ \frac{0.52(0.48)}{2251} } = 1.96\times \sqrt{ \frac{0.2496}{2251} } \\  = 1.96\times \sqrt{0.000110884} =1.96\times 0.0105 \\ =0.0206=2.1\%

The the interval that is likely to contain the true population proportion is between 49.9% and 54.1%.
You might be interested in
There are 30 seventh grade students in the cafeteria. In a representative sample of 25 students, there are 14 girls. Estimate th
Basile [38]

Answer:

17 i think

Step-by-step explanation:

7 0
3 years ago
A=h(a+b)/2 Solve for b.
Trava [24]
Is the b=4






Fabio lo bye bye
7 0
3 years ago
Read 2 more answers
Exponential Function:
vovangra [49]

Answer:

See below

Step-by-step explanation:

<em>On the graphs we see transformations of exponential functions</em>

<h3>Graphic 1 = Horizontal shift </h3>
  • f(x) = 2ˣ is the parent function
  • g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
  • h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
  • p(x) = (1/3)ˣ is the parent function
  • r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
  • q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units

4 0
3 years ago
Please helllllpppppppp
professor190 [17]
Area of a trapezoid
1/2(a+b)(h) where a and b are the parallel sides and h is the height.

a = 12.9, b = 8.6, h = 6.4

A = 1/2(12.9 + 8.6)(6.4) = 68.8 cm²
4 0
3 years ago
Mark had 2 large cookies. He ate 1/4 of one cookie. How much of his cookie does he have left? Write the answer in the form of a
swat32
We will make 2 into a fraction, 2/1. Then, we will multiply it by 4 to get a common denominator. We have 8/4 now. Subtract 8/4 by 1/4, which will give us 7/4. Turn that into a mixed number.

1 3/4 is our answer!
8 0
3 years ago
Read 2 more answers
Other questions:
  • A study of 860 U.S. ATMs (automated teller machines) found that the average surcharge for withdrawals from a competing bank was
    11·2 answers
  • Select the answer that represents the algebraic translation of the phrase below.
    7·1 answer
  • What is the value of x?
    15·1 answer
  • Topic/Objective: Function Applications pp. 228-252
    14·1 answer
  • Alexandria purchased a computer on sale. The original price was $1200. The sale price was 5/6 of the original price. how much di
    11·1 answer
  • What is the value of g?<br> g<br> 70
    6·1 answer
  • Solve the equations by substitution method: A) x+y=3, 2x+5y=12.​
    6·2 answers
  • Write the equation of the line that passes through the points (3, 4) and (5, 8)
    15·1 answer
  • Plss help asapp!!!! :p
    13·2 answers
  • A rectangular solid is shown. What is the volume of the rectangular solid
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!