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]
3 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]3 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
Need help as soon as possible
alukav5142 [94]

Answer:

D. 70

Step-by-step explanation:

if vx is bisector then 3z - 4 = z + 6 add like terms

2z = 10;and z = 5

To find the perimeter we add all side lengths

VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z

we know z = 5 so 14 × 5 = 70

8 0
3 years ago
A baker purchased 13 lb of wheat flour and 14 lb of rye flour for a total cost of $14.85. A second purchase, at the same prices,
postnew [5]

An equation is formed when two equal expressions. The cost per pound of wheat flour is $0.55 and the cost of per pound of rye flour is $0.55.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a pound of wheat flour be x and the cost of a pound of rye flour be y.

A baker purchased 13 lb of wheat flour and 14 lb of rye flour for a total cost of $14.85.

13x + 14y = $14.85

x = (14.85-14y)/13

A second purchase, at the same prices, included 15 lb of wheat flour and 12 lb of rye flour.

15x + 12y = $14.85

Substitute the value of x from the above equation and solve for y,

\dfrac{15(14.85-14y)}{13} + 12y = 14.85\\\\222.75-210y+156y = 193.05\\\\y = 0.55

Substitute the value of y in any one of the equations formed,

13x + 14(0.55) = 14.85

13x = 7.15

x = 0.55

Hence, the cost per pound of wheat flour is $0.55 and the cost of per pound of rye flour is $0.55.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

8 0
2 years ago
The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2). The answe is x_ _= somethin
guapka [62]
First, you have to find the midpoint of the segment. Using the midpoint theorem, (which is (x1+x2)/2, (y1+y2)/2 ) the midpoint of that segment in (3,-1)

Next find the slope of the segment 1,0 and 5,-2  using rise over run or deltax / deltay which is a fancy way of saying change in x over change in y. 

The slope is 4/2 or 2 
When a line is perpendicular to another the slope is the negative reciprocal so the slope of our new line will be -1/2

Now plug in the coordinate (3, -1)  to find the y-intercept and the equation of that line will be complete


so -1 = -1/2 (3) +b
-1= -1.5 +b
0.5 = b


The final equation will be -1/2x + 0.5 =y

hope this helps:)

4 0
4 years ago
4+8x=44 I need helpppp please someone help me
xxTIMURxx [149]

Answer: Your answers ×=5 !

6 0
3 years ago
Read 2 more answers
Two gardens are being fenced in. Both gardens will require the same amount of fencing​ (both gardens have the same perimeter in​
Tresset [83]

Answer:

Dimensions of the square garden = 9 meters by 9 meters

Dimensions of the triangular garden = 12 meters

Step-by-step explanation:

Let the measure of a side of the square garden = x meters

Perimeter of the square = 4x meters

Since each side of the triangle is 3 meters longer than each side of the square, side of the triangle will measure = (x + 3)

Perimeter of the equilateral triangle = 3(x + 3) meters

Perimeter of the square = perimeter of equilateral triangle

4x = 3(x + 3)

4x = 3x + 9

4x - 3x = 9

x = 9 meters

Dimensions of the square garden = 9 meters by 9 meters

Dimensions of the triangular garden = 12 meters

5 0
4 years ago
Other questions:
  • At the beginning of the year, a scientist measured the temperature at the North Pole. It was -33.6°F. Six months later, another
    11·1 answer
  • Plz help me with this math problem
    7·1 answer
  • ¿Cual es la suma de 4.225x10 a la 2 y 36.55 expresada en notación decimal?
    12·1 answer
  • Who is closer to 30% :<br><br>1/3 or 2/7<br>Give explanation.
    7·2 answers
  • Evaluate the expression, given a=-11,b=8, and c=-6
    14·1 answer
  • Cooper buys a one-gallon bottle of juice for $12.80. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon 4
    12·1 answer
  • LOOK AT THE PICTURE PLEASE HELP A GIRL OUT IM STUCK ON THIS QUESTION AND I DONT HAVE A LOT OF TIME!!
    15·2 answers
  • Solve p-|5|x|-3|=-20
    6·1 answer
  • Y = 3/5x + 26 find the value of y when x =12
    11·1 answer
  • Bananas cost $0.50 each, and apples cost $1.00 each.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!