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
cluponka [151]
3 years ago
6

36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

interval for the population proportion who knew about the incentives. (Round to two places after the decimal point.)
Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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 level of 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:

n = 100, \pi = \frac{36}{60} = 0.6

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

You might be interested in
Please HELP!!!!! I need to know the missing value. PLease!!!!!!!!!!!!!!
GuDViN [60]

Answer:

w = 21.4 ft

Step-by-step explanation:

Area of Trapezoid = Area = (a+b)/2 * h

Where a and b are the bases of trapezoid, and h is the height.

In the figure we are given:

a= 32.3 ft

b=w=?

h= 22.9 ft

Area = 614.865 ft²

Putting values in formula

Area = (a+b)/2 * h

614.865 = (32.3 + w) / 2 * 22.9

1229.73 = 32.3 + w * 22.9

1229.73 / 22.9 = 32.3 +w

53.7 -32.3 = w

=> w = 21.4 ft

7 0
3 years ago
I really need help with my homework. <br><br> factorise 10x+25
alina1380 [7]
5(2x + 5), because 10x and 25 only have 5 in common, which is why it's outside the bracket, and 5 × 2x is 10x, and 5 × 5 is 25. Hope this helps!
6 0
3 years ago
Read 2 more answers
A cylinder with a radius of 4 yd and a volume of 80yd (find the height)
Afina-wow [57]

Answer:

Height of the cylinder = 1.60yd

Step-by-step explanation:

Volume of a cylinder =

V = πr^2h

V - volume of cylinder

π - 3.142

r - radius of cylinder

h - height of cylinder

We are provided with

V - 80

r - 4

π - 3.142

h - ?

80 = 3.142 * 4^2 * h

80 = 50.272 * h

To find h, divide both sides by 50.272

80/50.272 = 50.272h/ 50.272

1.599 = h

h = 1.60yd

7 0
3 years ago
Read 2 more answers
QUESTION 1
GREYUIT [131]

Answer:

i dont know

Step-by-step explanation:

....

7 0
3 years ago
Justin now has a final exam today. There are 20 questions with 3 options. Each
mamaluj [8]

Answer: .0142%

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Which of the following terms are like terms? 4x and 3xy x and x2 2xy and –6xy 3a and 3x
    11·1 answer
  • Complete each blank to find an expression that is equal to 16%.
    10·1 answer
  • Multiply (2.5 x 10 ^-8) ( 9x10 ^ - 10 ) Express answer in scientific notation
    13·2 answers
  • All of the girls are Danielle's cabin at camp are the same age. Their counselor is 3 times their age. Danielle's age and her cou
    10·1 answer
  • Find the values of x,y, and z. The diagram is not to scale.
    8·1 answer
  • Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?
    12·1 answer
  • What is the value of x?
    5·1 answer
  • Solve each system by elimination.
    8·1 answer
  • the following data represent the number of people aged 25-64 years covered by health insurance (private or government) in 2018.
    9·1 answer
  • True or false: The graph of y=3x2-3 opens up.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!