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
joja [24]
2 years ago
15

Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra

ndom samples have been selected from the two populations. A survey found that 37 of 74 randomly selected women and 47 of 74 randomly selected men follow a regular exercise program. Find a 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program. Group of answer choices
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0

Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

You might be interested in
1. Solve for x. Show each step of the solution<br> 4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Vladimir [108]
36-4.5x+36=102-7.5x-60
72-4.5x=42-7.5x
72+3.5x=42
3.5x=-30
x=8.57
7 0
3 years ago
Which statements are true?
Alexxx [7]
B. All rectangles are parallelograms! And C. All equilateral triangles are isosceles! :-)
7 0
3 years ago
Read 2 more answers
To change knots per hour, use the expression 1.15k, where k is the speed in in knots per hour. A plane is flying at 300 knots pe
Free_Kalibri [48]
1.15(300).
Substitute k for 300, since the plane is flying 300 knots per hour, and k=knots per hour.

1.15(300)=345 miles per hour
After multiplying, 300 by 1.15, you get 345 miles per hour. This is the speed of the plane from Knots to MPH (Miles Per Hour).
8 0
3 years ago
Read 2 more answers
I need help with finding the correct way of order of operations.
Alika [10]
I hope this helps you



6+4×2^3



6+4×8


6+32


38
5 0
3 years ago
Read 2 more answers
HELP ASAP<br> TYSM TYSM What is the surface area of the square pyramid?<br> I put a picture!<br> ⬇️
levacccp [35]

Answer:

the surface area is 133cm.

7 x 7 is 49

7 x 6 is 42.

42 divided by 2 is 21.

21 x 4 is 84

So 84 + 49 is 133.

3 0
3 years ago
Other questions:
  • What is the inequality for 5(x+3)−8&lt;17
    10·1 answer
  • Simplify the expression<br> 7(8g+ 9f – 6h)
    7·2 answers
  • Write the equation of a line that is perpendicular to x=3 and that passes through the point (0,-4)
    8·1 answer
  • Is there an error in this statement If x2 = 25, then x = 5.
    14·2 answers
  • 4-(2y-1)=2(5y+9)+y please help quick
    13·2 answers
  • What is the result of adding these two equations?
    5·1 answer
  • WILL GIVE BRAINLIEST IF CORRECT!
    7·2 answers
  • Question 5: What is the solution of the system of equations?<br> .A<br> .B<br> .C<br> .D
    11·2 answers
  • the radius of a circle is 9 times of the radius of a smaller circle. the area of the smaller circle is 50 square cenimeters. wha
    14·1 answer
  • Elena wants to create a triangle shaped garden that has an area of 36 square feet. Name all the different dimensions her triangl
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!