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
Hatshy [7]
3 years ago
9

A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence

interval for the fraction of the voting population favoring the suit.
(b) What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

a) 96% CI: 0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

p=\frac{114}{200}=0.57

The standard deviation of the sample proportion is

\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

You might be interested in
Please help me with this please and thank you
BartSMP [9]

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

7 0
2 years ago
Is 593÷6 is a little less than 10 a little more than 10 a little less than 100 a little more than 100 explain
DerKrebs [107]
Since 600 ÷ 6 = 100 and 593 is less than 6, 593 ÷ 6 is a little less than 100.

Hope this helps!
4 0
3 years ago
The arc length of a sector created by a 90° angle is 25 cm. What is the circumference of the entire circle? Express
docker41 [41]

Answer:

We know length of one quarter of a circle = 2πr/4 = πr/2

So here we can make the equation for to find thr value of radius r

length of one quarter given = 25 cm

so πr/2 = 25 cm

=> πr = 50 cm

=> r = 50/π cm

So the entire circumference of circle =

2πr

= 2 π 50/π cm

= 100π/π cm (ans)

Here we dont substitute the value of π due to represent the answer in terms of pi.

Hope it helps you

6 0
3 years ago
What does x equal x + 3 ≤ –5 + 2x
Anna [14]
X+3≤ -5+2x

Add 5 to the other side. (the inverse of subtraction, since 5 is negative)

x+8≤2x

Subtract x on both sides. 

8≤x <- the answer

I hope this helps!
~kaikers
8 0
3 years ago
James is x years old now and the sum of his age is and his brothers age is 10.
Vesnalui [34]

Answer:

1) James brother is 10-x years old

2) James was 3 years ago x-3 years old

3) James brother was 3 years ago 7-x years old

4) 3(x-3)=7-x

5) James is 4 years old, his brother is 6 years old

Step-by-step explanation:

3) 10 - x - 3 = 7 - x

5) 3* James age 3 years ago = James brothers age 3 years ago

<=> 3*(x-3) = 7-x

<=> 3x - 9 = 7 - x

<=> 4x = 16

<=> x = 4

5 0
3 years ago
Other questions:
  • Simplify [2 (cos 210 + i sin 210)]^2
    10·1 answer
  • What power is represented my the geometric model below
    7·1 answer
  • 15 PTS!!!!!!!!!!
    5·1 answer
  • Can someone help<br> With this math question please
    8·1 answer
  • WILL MARK BRAINLIEST PLEASE HURRY!!!!
    9·1 answer
  • Two collinear points on a line are given in the table below:
    8·1 answer
  • To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the a
    8·2 answers
  • Algebra 1 , PLEASE PLEASE help . and if you know how to do algebra i'll have more question you can answer .. if you want :, )
    11·2 answers
  • PLEASE HELP DUE IN 30 MINUTES
    13·2 answers
  • “Please help me I will give a BRAINLY and a THANKS and a 5 STAR RATE”
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!