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
Alekssandra [29.7K]
3 years ago
9

A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

onfident that her proportion is within 3% of the true population proportion?
Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

You might be interested in
Please help!! 50 points
Helga [31]

Answer:

4,left,4,down

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-6, 1); focus: (-6, 0)
GREYUIT [131]

Answer: (x+6)^2=-4(y-1)

Step-by-step explanation:

Given

Vertex of the parabola (-6,1)

Focus of the parabola (-6,0)

As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of

(x+6)^2=-4a(y-1)

distance between Vertex and focus is 1 unit

\therefore a=1

Parabola becomes

\Rightarrow (x+6)^2=-4(y-1)

8 0
3 years ago
JUST THE ANSWERS PLEASE
notsponge [240]

Answer:

Eli=180 Freda=260 and Geoff=360

8 0
2 years ago
What is the least common multiple of 3, 4, 9, and 12
Sati [7]

Answer:

36

Step-by-step explanation:

3 x 12 = 36

4 x 9 = 36

7 0
2 years ago
What is the solution to 3-3x + 9| = -18?
solmaris [256]

Answer:

x = 5 or x = 1

Step-by-step explanation:

Absolute Value Equation entered :

     3|3x-9|=18

Step by step solution :

Step 1: Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|3x-9| = 18

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|3x-9|

For the Negative case we'll use -3(3x-9)

For the Positive case we'll use 3(3x-9)

Step 3: Solve the Negative Case

     -3(3x-9) = 18

Multiply

     -9x+27 = 18

    Rearrange and Add up

     -9x = -9

    Divide both sides by 9

     -x = -1

    Multiply both sides by (-1)

     x = 1

    Which is the solution for the Negative Case

Step 4: Solve the Positive Case

(3x-9) = 18

    Multiply

     9x-27 = 18

    Rearrange and Add up

     9x = 45

    Divide both sides by 9

     x = 5

    Which is the solution for the Positive Case

Step 5:  Wrap up the solution

x=1

x=5

Solutions on the Number Line

 

Two solutions were found :

x=5

x=1

8 0
1 year ago
Other questions:
  • Help me with this one.
    15·2 answers
  • Please help me with this question
    8·1 answer
  • Which could NOT be side lengths of a parallelogram?
    12·2 answers
  • If 71/4 boxes of parts weigh a total of 687/8 pounds, what does one box of parts weigh?
    15·1 answer
  • June bought ​
    14·1 answer
  • PLS SOLVE ASAP!!!<br> These points are linear.<br> Find the slope.
    9·1 answer
  • A vine called the mile a-minute weed is known for growing at a very fast rate. It can grow up to 0.25 inches
    10·1 answer
  • Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. An
    8·1 answer
  • Measure the width of the paper clip to the nearest millimeter
    15·2 answers
  • Which best describes the association shown in the scatter plot?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!