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
Natasha2012 [34]
3 years ago
12

A random sample of of 100 voters in a town is selected, and 24 are found to support an annexation suit. Find the 96% confidence

interval for the fraction of the voting population favoring the suit.
Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer: 0.24 +/- 0.088 = (0.152, 0.328)

Step-by-step explanation:

The point estimate p is given by;

p= 24/ 100 = 0.24

Z value for 96% confidence interval is 2.05

The solution for the given confidence interval is derived using the equation

p +/- z√(pq/n)

Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05

= 0.24 +/- 2.05√(0.24×0.76/100)

= 0.24 +/- 2.05(0.0427)

=0.24 +/- 0.088

= ( 0.152, 0.328)

You might be interested in
X^2+(5/4)x+? <br> What must be added to make a perfect square binomial
vichka [17]
25/64 is the answer to your question
5 0
3 years ago
Solve for the letter d
Deffense [45]

Answer:

34 I am pretty sure

Step-by-step explanation:

34+55 well is 89 so yeah d=34

4 0
3 years ago
Read 2 more answers
A car travels 50 km in 2 liters find
Savatey [412]
It can travel 125km with 5 liters
And 6 liters to travel 150 :)
5 0
3 years ago
Read 2 more answers
The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
Mama L [17]

Answer:

a) P(Y > 76) = 0.0122

b) i) P(both of them will be more than 76 inches tall) = 0.00015

   ii) P(Y > 76) = 0.0007

Step-by-step explanation:

Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.

To find - (a) If a man is chosen at random from the population, find

                    the probability that he will be more than 76 inches tall.

              (b) If two men are chosen at random from the population, find

                    the probability that

                    (i) both of them will be more than 76 inches tall;

                    (ii) their mean height will be more than 76 inches.

Proof -

a)

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{S.D}) > \frac{( 76- mean)}{S.D})

                 = P(Z >  \frac{( 76- mean)}{S.D})

                 = P(Z > \frac{76 - 69.7}{2.8})

                 = P(Z > 2.25)

                 = 1 - P(Z  ≤ 2.25)

                 = 0.0122

⇒P(Y > 76) = 0.0122

b)

(i)

P(both of them will be more than 76 inches tall) = (0.0122)²

                                                                           = 0.00015

⇒P(both of them will be more than 76 inches tall) = 0.00015

(ii)

Given that,

Mean = 69.7,

\frac{S.D}{\sqrt{N} } = 1.979899,

Now,

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{\frac{S.D}{\sqrt{N} } })) > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- 69.7)}{1.979899 }))

                 = P(Z > 3.182)

                 = 1 - P(Z ≤ 3.182)

                 = 0.0007

⇒P(Y > 76) = 0.0007

6 0
3 years ago
If someone does this I'll give you 5 stars and follow you!​
Sonja [21]

Answer:

The picture is really blurry, i can't see the questions

6 0
3 years ago
Other questions:
  • Y=-3x+4 solved for y
    7·2 answers
  • A cement block is in the shape of a rectangular prism that measures 4.5 feet by 7.25 feet by 6.5 feet. The entire block must be
    12·2 answers
  • Help please if anyone knows
    13·1 answer
  • HELP ME PLEASE!!!!!!!!
    5·1 answer
  • A small class has 10 students, 3 of whom are girls and 7 of whom are boys. The teacher is going to choose two of the students at
    14·2 answers
  • Two-thirds of a number added to itself is 20. What is the number?
    12·1 answer
  • Just this question I've tried but don't understand it
    5·1 answer
  • PLEASE HELP I'LL GIVE BRAINLIEST
    10·1 answer
  • A box contains 4 red marbles, 3 green marbles and 2 blue marbles. One marble is removed from the box and it is NOT replaced. Ano
    10·1 answer
  • 3(2-3+4) <br><br>math problem help me to slove​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!