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Katarina [22]
1 year ago
6

When we make inferences about the difference of two independent population proportions, what assumptions do we need to make? mar

k all that apply.
Mathematics
1 answer:
Elis [28]1 year ago
4 0

When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.

Two independent proportions tests involve comparing the proportions of two unrelated datasets.

For these two datasets to be regarded as an independent population, the following must be true or assumed to be true

  • The datasets must represent a random sample
  • Each dataset must contain at least 15 successes and failures

Hence, the above highlights are the assumptions of two independent population proportions.

To learn more about independent populations from the given link

brainly.com/question/23989150

#SPJ4

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Please show work. What is the volume of the figure?
Alenkinab [10]

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Volume = 288 in.³

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This trapezoid has been divided into two right triangles and a rectangle.
jok3333 [9.3K]

The area of the triangle on left is in²: 9

The area of the triangle on the right is in²: 9

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The area of the trapezoid is in²: 126

<h3>Area of Compound Shapes</h3>

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

  1. Identify the basic shapes;
  2. Calculate your individual areas;
  3. Sum each area found.

For finding the area, the steps are presented below.

  • STEP 1 - Identify the basic shapes.

       

       This trapezoid is composed of two triangles and one rectangle. Therefore, you should sum the area of these geometric figures.

  • STEP 2 - Find the area of the triangle.

        Area of the triangle - A_{triangle}=\frac{b*h}{2}. The figure shows:

        b= length of the base= 2in

        h=height=9 in

        Then,  A_{triangle}=\frac{b*h}{2}=\frac{2*9}{2} =\frac{18}{2}=9 in^2

Note that the triangles are equals, consequently, they present the same values for the area.

  • STEP 3 - Find the area of the rectangle.

       Area of the rectangle- A_{rectangle}={b*h}. The figure shows:

         b= length of the base= 12 in

         h=height= 9in

        Then,  A_{rectangle}={b*h}=12*9=108 in^2 .

  • STEP 4 - Find the area of the trapezoid.

         A_{trapezoid}=2*A_{triangle}+1*A_{rectangle}\\ \\ A_{trapezoid}=2*9+1*108\\ \\ A_{trapezoid}=18+108\\ \\ A_{trapezoid}=126in^2

Learn more about the area of compound shapes here:

brainly.com/question/15884960

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