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
What is a reasonable domain and range for this function
Sidana [21]

Answer:

plz describe whole question!!

Step-by-step explanation:

your question is incomplete

4 0
2 years ago
Read 2 more answers
a car salesman makes $445 per week plus commission. if during the week he sells a new van for $34,960 and earns 2.5% commission
Alika [10]
34960 × 2.5% = 1748 + 445 = 2,193 for the week (:
7 0
3 years ago
Read 2 more answers
If (-3, y) lies on the graph of y = (1/2)x, then y =
trasher [3.6K]
Y= 1/2 • (-3), because x=-3
8 0
3 years ago
Read 2 more answers
Help please <br> .............
borishaifa [10]

Answer:

hi dude

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the slope between the<br> following points:<br> (-1,19) and (11,16)
patriot [66]

Answer:

Slope =-1/4

Step-by-step explanation:

y=mx+n

Slope=m=(y2-y1)/(x2-x1)

A(-1,19).... x1 =-1, y1=19

B(11,16)..... x2=11, y2=16

Slope=(16-19)/(11-(-1))=(-3)/(11+1)=-3/12=-1/4

4 0
3 years ago
Read 2 more answers
Other questions:
  • There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possibl
    7·1 answer
  • A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it punctures the b
    10·1 answer
  • Evaluate -a+(-b) where a= 6.05 and b= 3.611
    8·1 answer
  • Which description best describes the solution to the following system of equations? (4 points)
    13·2 answers
  • 5/8x + 2 = 57/16 hurryy
    10·1 answer
  • Help please uwuwuuwuwwuwuwuuwwuwuuwu
    5·2 answers
  • A scale model of Philadelphia City Hall is 68.5 inches long. Using each of the scales above, how many feet tall is the building
    14·1 answer
  • 4/3 times the sum of a number and eight is is 24 what is the number
    15·1 answer
  • Trish is sorting bolts for her home repair business. She has an 8-pound bag of bolts. If each kitchen her team repairs requires
    14·1 answer
  • Triangles LMN and RWN are similar right triangles. What is the length of WR?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!