Using the information given, it is found that:
a.
The standard error for the difference is of 0.0176.
The 95% confidence interval is 0.0151 to 0.0841.
b.
Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.
What is the distribution of differences for the proportion of males and females?
For males, we have that:
[tex]n = 1213, p_M = \frac{372}{1213} = 0.3067, s_M = \sqrt{\frac{0.3067(0.6933)}{1213}} = 0.01324[/tex]
For females, we have that:
[tex]n = 1412, p_F = \frac{363}{1412} = 0.2571, s_F = \sqrt{\frac{0.2571(0.7429)}{1412}} = 0.01163[/tex]
The distribution of differences has mean and standard error given by:
[tex]p = p_M - p_F = 0.3067 - 0.2571 = 0.0496[/tex]
[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{0.01324^2 + 0.01163^2} = 0.0176[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
z is the critical value, which considering that there is a 95% confidence level, it is of z = 1.96.
Then:
[tex]p - zs = 0.0496 - 1.96(0.0176) = 0.0151[/tex]
[tex]p + zs = 0.0496 + 1.96(0.0176) = 0.0841[/tex]
The 95% confidence interval is 0.0151 to 0.0841.
Item b:
Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.
More can be learned about confidence intervals at https://brainly.com/question/16162795
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $33.79, and the cost for using 27 HCF is $55.24. What is the cost for using 18 HCF of water?
Answer:
The cost of using 18 HCF = $40.39
Step-by-step explanation:
A linear function is one that has a constant rate of change for all the values within the distribution. For a linear function, there is a constant, and that constant is known as the slope or gradient of the linear function.
Let us first calculate this constant (slope).
Let:
X₁ = 14 HCF, Y₁ = $33.79, X₂ = 27 HCF, Y₂ = $55.24, m = slope
[tex]m = \frac{Y_2-Y_1}{X_2 - X_1} \\m = \frac{55.24 - 33.79}{27-14} \\m = \frac{21.45}{13} \\m = 1.65[/tex]
at any two points on the linear function, the rate of change of the cost to HCF = 1.65
Now, Let X₃ = 18 HCF, Y₃ = cost for using 18 HCF
[tex]m = \frac{Y_3 - Y_1}{X_3-X_1} \\where\ m= 1.65\\1.65 = \frac{Y_3-33.79}{18-14}\\1.65 = \frac{Y_3 - 33.79}{4} \\6.6 = Y_3 - 33.79\\Y_3 =6.6+33.79\\Y_3 = 40.39[/tex]
Therefore, the cost of using 18 HCF = $40.39
N:B X₂ and Y₂ can also be used with X₃ and Y₃ to find Y₃. You can try it out, you should get the same result
You are starting your own small business in Alabaster. You borrow $10,000 from the bank at a 9% rate for 5 years. Find the interest you will pay on this loan
Answer:
Step-by-step explanation:
F
Jill wants to graph the following equation, 4x - 2y = 12, on her graphing
calculator
She needs to solve fory and put the equation into slope intercept form
first.
Which of the following is correct?
O y = 4x - 15
Oy = x - 6
O y = 2x - 6
O y=-2x + 6
Answer:
y=2x-6
Step-by-step explanation:
when u arrange it you get y=4x-12 which simplified is the answer above
What are the cordinates of the image of the point (11,1)after a translation 10 units down followed by a reflection over the y-axis
Answer:
(-11,-9)
Step-by-step explanation:
translate 10 units down: y value: 1-10=-9
reflect over y-axis: x-value becomes opposite: 11 becomes -11
What are two values that could bring you a sum of (-12)?
Possible Answers:
any two nubers that add up to -12 work:
12 + (-24)
11 + (-23)
10 + (-22)
9 + (-21)
8 + (-20)
7 + (-19)
6 + (-18)
5 + (-17)
4 + (-16)
3 + (-15)
2 + (-14)
1 + (-13)
0 + (-12)
-1 + (-11)
-2 + (-10)
-3 + (-9)
-4 + (-8)
-5 + (-7)
-6 + (-6)
-7 + (-5)
-8 + (-4)
-9 + (-3)
-10 + (-2)
-11 + (-1)
-12 + (-0)
The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspapers readers, how many readers does the newspaper
Answer:
1750
Step-by-step explanation:
We first find the rate
70/4
= 17.5
We know 17.5 is 1% of the people that read newspaper, we will multiply 17.5 by 100 as it would represent 100% of the people
17.5 * 100
= 1750
Please help ASAP due in 5 days! Marking Brainliest!
Which quadrilateral(s) fit the description: "The Diagonals are congruent". Check all that apply. *
1 point
Parallelogram
Rhombus
Square
Rectangle
Kite
Trapezoid
Isosceles Trapezoid
Answer:
Rhombus
Step-by-step explanation:
Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares.
help!!!!!!!!!!!! !!!!!!!!!!!!
Answer:
the answer is D. y=2/3 x + 4
find the slope please :)
Answer:
3/4
Step-by-step explanation:
up 3 over 4
Point Q' is the image of Q(-7,-6) under the translation (x, y) + (x+12, y + 8).
What are the coordinates of Q'?
Answer:its b
Step-by-step explanation:i took the test
A 5-pack of plastic flower pots costs $18.75. What is the unit price?
per pot
Answer:
13.75
Step-by-step explanation:
You would do 18.75 divided by 5 to get the cost of each pot.
18.75 / 5 = 13.75
please help me asap
Answer:
1.4/5+8/9
2.17/18-3/7
Step-by-step explanation:4/5+8/9 so you want the bottem two to be the same right so your ganna multapliy the 5 times 9 and 9 times 5 the 4 times 9 and 8 times 5 then you will have
36/45 and then40/45 then ad them and you will have about 2
2.is about 1 or about 0 i say about 1
Evaluate this expression. -86.4 + 16.38
Answer:
The answer is -70.22
Step-by-step explanation:
Answer:
-70.20
Step-by-step explanation:
What is the scale factor of triangle A to triangle D.
Answer:
the correct answer is isosceles
Answer:
When two shapes are similar, their corresponding angles will be the same. The angles are the same because the shape is still the same. You can tell from the order of the similarity statement which angles match up. In the example, angles A and D are the same (both letters are in written first), angles B and E are the same (both letters are written in the middle), and C and F are the same
Step-by-step explanation:
Similar triangles can be different sizes, so the lengths of the corresponding sides are not necessarily the same, but they are proportional. This means that the ratios of the corresponding sides are equal.
Sean has some candy bars that he wants to give away.
Answer:
Tell Sean i said thx
Step-by-step explanation:
but what's the question
Jim needs 4 ½ cups of bleach for every ten gallons of water for cleaning. How many cups of bleach should he use if he is making 5 gallons instead of 10?
Answer:
2 1/4 cups of bleach
Step-by-step explanation:
4.5/10=0.45
0.45×5=2.25
Just help with 7,8, and 10 I already got help with the rest also I’ll mark brainliest for a small explanation:)
Subtract 5x^2 – 2x – 5 from – 2x^2
- 5x - 7
Answer:
[tex]-7x^{2} -3x-2[/tex]
Step-by-step explanation:
[tex](-2x^2-5x-7) - (5x^2-2x-5)\\\\-2x^2 - 5x^2 = -7 x^2\\-5x - -2x = -3x\\-7 - -5 = -2 \\Result: -7x^2-3x-2[/tex]
Answer:
-7x² -3x - 2
Step-by-step explanation:
(-2x²-5x -7) - (5x² - 2x - 5)
removing parentheses
-2x² -5x - 7 -5x² + 2x + 5
collect like terms
-2x² - 5x² -5x + 2x -7 + 5
= -7x² -3x - 2
Please help me it due at 2:10 please help me will mark the brainiest please
Answer:
x = -8x = 1d = 14I hope this helps!
Look at the equation below.
310 n = 45
What value of n will make this equation correct?
625
12
83
38
Answer:
38
Step-by-step explanation:
The distance from point F to point G on a line segment is 5. Point F is at (4,a) and point G is at (1,6). What is the value of coordinate "a"?
Answer:
X is up Y is over
X: 3 Y: 9
X: 9 Y: 3
X: 6 Y: 5
X: 5 Y: 6
Hope This Helps
A rectangle has a perimeter of 30 and a length of 10. Find the width.
Answer:
5
Step-by-step explanation:
Which inequality describes all the solutions to 5(3-x)<-2x+6
Answer:
x < 3
Step-by-step explanation:
5(3 - x) < -2x + 6
Distribute;
15 - 5x < -2x + 6
Add 2x to both sides;
15 - 3x < 6
Subtract 15 from both sides;
-3x < -9
Divide both sides by -3
x < 3
An airplane flies 104 miles in 1/2 hour how far can it fly in 1 1/4 hours at the same rate of speed
Answer:
first one is right
Step-by-step explanation:
I NEED HELP WITH THESE QUADRATIC FUNCTIONS PLEASE !!
Answer: Hey, I can help. Which problem?
Step-by-step explanation:
18. A man bought a house for #1,800,
and received N360 as rent for a
year. What is the ratio of the annual
rent to the purchase price?
(a) 1:2
(b) 1:4
(c) 1:5
(d) 2:1
(e) 2:5
Mathematics question
Express it in slope form
What integer represent 10 degrees above zero?
Answer:
10
Step-by-step explanation:
an integer is an opposite but if it is above zero it is a positive number and and integer of a positive number is another positive number