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
How do u make y=4x into standard form
Norma-Jean [14]
-4x+y=0
(Using Ax+By=C)
5 0
3 years ago
If 7(3x+9) and 21x + T are equivalent, what is the value of T?
bearhunter [10]

Answer:

63

Step-by-step explanation:

Because 7(9)=63.

3 0
3 years ago
See the picture below!!
Darya [45]

Answer:

Q1) x = 17.3

y = 8.7

Q2) d = 19

Step-by-step explanation:

Question 1

Angle = 60°

Hypotenuse = x

Adjacent = y

Opposite = 15

<u>Step 1: Find x</u>

Sin (angle) = opposite/hypotenuse

Sin (60°) = 15/x

x = 10√3 = 17.3

<u>Step 2: Find y</u>

Tan (angle) = opposite/adjacent

Tan (60°) = 15/y

y = 5√3 = 8.7

Question 2

<u>Step 1: Find the diagonal of the base</u>

c² = a²+b²

c² = 6² + 10²

c = 2√34 = 11.7

<u>Step 2: Find diagonal d</u>

c² = a² + b²

d² = 11.7² + 15²

d = 19

!!

7 0
3 years ago
Can someone help me with this?
KatRina [158]

Answer:

Step-by-step explanation:

If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5

7 0
2 years ago
I need help working this out
Leona [35]

I think in this situation the best method would be a guess and check. You know that there are 8 dimes more than there are nickels. So just keep increasing each number by one until you reach $1.40. If there were 9 dimes and 1 nickels it would add up to $0.95. If there were 10 dimes and 2 nickels, it would add up to $1.10. If there were 11 dimes and 3 nickels, it would add up to $1.25. If there were 12 dimes and 4 nickels, it would add up to $1.40. So your answer is 12 dimes and 4 nickels.

I hope this helped!

8 0
2 years ago
Read 2 more answers
Other questions:
  • Please help me with this question.
    7·1 answer
  • Help me please with numbers 8-11 thanks
    5·1 answer
  • If a prism had the width of 9 feet, a length of 6 feet and the height of 8 feet what would the volume be?
    9·1 answer
  • Which expression is the factored form of -4.5n + 3​
    14·1 answer
  • 2(5+r) write expression results from using distributive property
    6·2 answers
  • Suppose the scores of students on a Statistics course are Normally distributed with a mean of 563 and a standard deviation of 37
    14·1 answer
  • 77.86 divided by 0.85
    13·2 answers
  • The sales tax on a one-half-carat diamond ring is $76. Find the purchase price of the ring (before tax) of the sales tax rate is
    11·1 answer
  • What is the measure of the missing angle to the nearest degree?
    13·1 answer
  • The outside temperature dropped 23.4 °F from the time Taylor left for school to the time Taylor got home from school. It was 54.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!