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
Juliette [100K]
3 years ago
9

Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if t

hey could. Calculate a 95% confidence interval for the population proportion. Write a sentence or two that interprets this interval.
Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

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 = 300, \pi = \frac{57}{300} = 0.19

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 - 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.1456

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 + 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.2344

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

You might be interested in
When solving a system of equations by elimination, there are multiple correct ways you can start. which of the following is NOT
Marta_Voda [28]

Answer: the 2nd one

Step-by-step explanation: you didn’t multiply the -7 by 5, therefore being wrong

5 0
2 years ago
SungHee empties her piggy bank and finds that that she has 200 quarters 150 dimes and 300 pennies. How much money does she have
gayaneshka [121]
A quarter = 0.25......200 quarters = 200(0.25) = $ 50
a dime = 0.10...150 dimes = 150(0.10) = $ 15
a penny = 0.01....300 pennies = 300(0.01) = $ 3

for a total of : 50 + 15 + 3 = $ 68 
6 0
3 years ago
Find the equation of the line shown!!!
-Dominant- [34]

Answer:

y=5/4x+4 is the equation

7 0
3 years ago
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne
nasty-shy [4]

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Step-by-step explanation:

If (x , y) is the mid-point of a segment whose end points are (x_{1},y_{1})  and  (x_{2},y_{2})  then,

  • x=\frac{x_{1}+x_{2}}{2}
  • y=\frac{y_{1}+y_{2}}{2}

In a parallelogram, its diagonals intersect each other at their mid-points

that means its diagonals bisect each other

∵ HIJK is a quadrilateral

∵ HJ and IK are its diagonals

∵ H = (-2 , 2)

∵ J = (4 , -2)

- Find the mid point of HJ  

∵ M_{HJ}=(\frac{-2+4}{2},\frac{2+-2}{2})

∴ M_{HJ}=(\frac{2}{2},\frac{0}{2})

∴ M_{HJ}=(1,0)

∴ The mid-point of HJ is (1 , 0)

∵ I = (4 , 3)

∵ K = (-2 , -3)

- Find the mid point of IK  

∵ M_{IK}=(\frac{4+-2}{2},\frac{3+-3}{2})

∴ M_{IK}=(\frac{2}{2},\frac{0}{2})

∴ M_{IK}=(1,0)

∴ The mid-point of IK is (1 , 0)

∵ The mid-points of HJ and IK are equal

∴ HJ and IK bisects each other

∴ HIJK is a parallelogram because its diagonals bisect each other

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Learn more:

You can learn more about parallelogram in brainly.com/question/6779145

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.​
aliina [53]

Answer:

500

Step-by-step explanation:

brainliest pls

6 0
3 years ago
Other questions:
  • What is the explicit formula for the sequence?
    12·1 answer
  • The field archie will cover measures 100 yards long by 60 yards wide. Write an equation of the relationship the number of square
    9·1 answer
  • Is <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B100%7D%20" id="TexFormula1" title=" \sqrt{100} " alt=" \sqrt{100} " align=
    10·1 answer
  • Ax+16=b−3x what is a= and what does b= ?
    15·1 answer
  • X=4 for x^2 - 3x - 10<br><br> is the value of x a solution to the given inequality?
    12·1 answer
  • Which function has a graph with a horizontal asymptote at y = 3, a vertical asymptote at x = 1, and an x-intercept at 2?
    11·2 answers
  • Given that a linear function goes through the points (3.2) and (5.6) determine the slope
    10·1 answer
  • 1 + 3x² - 8x / 3x + 32x​
    9·1 answer
  • Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (1, 1), slope
    11·1 answer
  • Please answer the question pls
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!