Complete Question
Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.
a
State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.
b
What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c
Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
Answer:
a
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
b
in 2012 [tex]\r p_1 =0.41[/tex]
in 2010 [tex]\r p_2 =0.35[/tex]
c
The p-value is [tex]p-value = 0.0072 [/tex]
The conclusion is
There is sufficient evidence to conclude that the proportion of those indicating that financial security is more fair in Feb 2010 is different from the proportion of those indicating that financial security is more fair in Feb 2012.
Step-by-step explanation:
From the question we are told that
The sample size in 2012 is [tex]n_1 = 1000[/tex]
The number that indicated that their finance was more than fail is k = 410
The sample size in 2010 is [tex]n_2 = 900[/tex]
The number that indicated that their finance was more than fail is u = 315
The level of significance is [tex] \alpha = 0.05[/ex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
Generally the sample proportion for 2012 is mathematically represented as
[tex]\r p_1 = \frac{k}{n_1}[/tex]
=> [tex]\r p_1 = \frac{410}{1000}[/tex]
=> [tex]\r p_1 =0.41[/tex]
Generally the sample proportion for 2010 is mathematically represented as
[tex]\r p_2 = \frac{u}{n_2}[/tex]
=> [tex]\r p_2 = \frac{315}{900}[/tex]
=> [tex]\r p_2 =0.35[/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]\r p = \frac{k + u }{n_1 + n_2}[/tex]
=> [tex]\r p = \frac{410 + 315 }{1000+ 900}[/tex]
=> [tex]\r p = 0.3816 [/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )} }[/tex]
[tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]
[tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]
[tex]z = 2.688[/tex]
Generally the p- value is mathematically represented as
[tex]p-value = 2 P(Z >2.688 )[/tex]
From the z -table
[tex]P(Z > 2.688) = 0.0036 [/tex]
So
[tex]p-value = 2 *0.0036 [/tex]
[tex]p-value = 0.0072 [/tex]
So from the p-value obtained we see that p-value < [tex]\alpha[/tex] so we reject the null hypothesis
Thus there is sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.
To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.
HELP PLS MY TEACHER NEEDS IT DONE NOW
Answer:
11286
Step-by-step explanation:
The volume of a box or a cube is base time height times height.
base × width × height = volume
19 x 22 x 27 = volume
=11286
Hope this helps!
It can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.
What is the volume of a Cuboid?
The volume of a cuboid is given by -
V = L x B x H.
where -
L is the length
B is the breadth
H is the height
Given is a statement made by a student who says - To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.
Since the dimensions of the base represent a rectangle, We can place 27 layers over it one after the another, the resulting figure will be a cuboid, such that the height of the cuboid will 27 units. The volume of the box will be -
Area of its base x 27
Or we can write -
19 x 22 x 27
11286 units³
Therefore, it can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.
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Round 10,463.24 to the nearest whole number.
y = -5x - 8
y = 4x + 1
Answer:
X= -1
Y= -3
Step-by-step explanation:
y=-5x-8
y=4x+1
-5x-8=4x+1
+5x. -1 +5x -1
-9=9x
-1=x
Y=4(-1)+1
-4+1
Y=-3
What is the equation of this line?
A. y=2x−3
B. y=−12x−3
C. y=−2x−3
D. y=12x−3
Answer:
2×-3 is the best equation for this.
Answer: y=2x-3
Step-by-step explanation:
solve for w
3 - 3w = 6
Answer:
w equals negative 1one
Answer this question to get brainlist
Answer:
The answer is D
Answer:
The answer is D
Step-by-step explanation:
A is incorrect because since 1 and 7 are both on the bottom half so they are congruentB is incorrect because 3 and 5 are both on the bottom half so they are congruent as wellC is incorrect for the same reason as A and BD is correct because they are both on the top half which means they cant be congruentThus your answer would be D
it.
2. 5,907
What is the place and value of the 9
Answer:
25.907= 9 terceira casa a direita ( centena), 900.
How to do solving equations in two variables
Answer:
plz give me brainly but the answer is
Step-by-step explanation:
In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.
What is 2 ^ 5/3 raised to the third power? Simplify your answer.
Answer:
2^5 or 32
Step-by-step explanation:
Please help me with this question. Hope to get answers asap!
Answer: Approximately 7.4162
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
[tex]\sqrt\\ 55[/tex] = 7.416198487095663, rounded to the nearest integer is 7.
I’ll give brainliest
Answer:
The graph of the system of equations solves the equation [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C
Step-by-step explanation:
Let us revise some important notes about the slope and y-intercept of a line
The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept
If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the leftThe y-intercept (0, b) is the the point of intersection between the line and the y-axis
If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negativeTo solve our question without any calculation, let us find the direction of the slopes and their y-intercepts
∵ The direction of the blue line is to the left
→ That means m in the equation is negative
∴ Its slope is negative
∵ The line intersects the y-axis at point (0, 2)
→ That means b in the equation = 2
∴ The number in the equation is 2
→ Look at the answer we have two answers have negative slope and
y-intercept 2 in the left hand side ⇒ C and D
∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2
→ that means the equation of the red line is represented by the right side
∵ The direction of the red line is to the right
→ That means m in the equation is positive
∴ Its slope is positive
→ Only C has a positive slope in the right side
∴ The equation of the red line is represented by 2x - 7
The graph of the system of equations solves the equation [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7
Another way:
You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph
Charlie makes $425.25 in sales each month. How much money should expect to make in 2.5 years?
Answer:
$12,757.50
Step-by-step explanation:
2.5x12=30 months
30months x 425.25= 12,757.50
hello guys please help 96 ÷ 3
Answer: 32
Step-by-step explanation:
This is a simple question:
If you want to know if its divisible by 3 then just add up the digits in 96.
In this scenario 3 is divisible because 9+6=15 and 15 divided by 3 = 5
Now use long division to solve:
96 divided by 3 = 32
Hope this helps! :)
BRAINLIEST
Need help ASAP! Tysmm
Answer:
26
Step-by-step explanation:
-4*2+3*4-2
16+3*4-2
16+12-2
28-2
26. PEMDAS
Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?
Answer:
18
Step-by-step explanation
18 wings costs exactly 30.60
Which is the best approximation for sqrt 55
A) 7
B) 7 2/5
C) 7 7/15
D) 8
Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.
Answer:
39
Step-by-step explanation:
4:37 till 5:00 is 23 minutes.
+ 16 minutes
= 23 + 16
Answer:
39 minutes
Step-by-step explanation:
First, find how much time passed between 4:37 PM and 5 PM.
Since there are 60 minutes in an hour, subtract 37 from 60:
60 - 37
= 23
There are 16 minutes in between 5 PM and 5:16 PM.
So, add the 23 minutes to 16:
23 + 16
= 39
So, it took her 39 minutes
help me pleaseeeeeeeeee
Answer:
I believe its B or C
Step-by-step explanation:
Im sorry if its wrong, if its right can you mark me brainliest?
graph a right triangle with the two points 4,5 and -4,8
Answer:
Step-by-step explanation:
Please write points using parentheses: (4, 5) and (-4, 8}.
(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5). From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4). This sloping line is the hypotenuse of a right triangle. Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5). This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.
(2x+4)/3=6
x=
what does x = i need help quick
Answer:
15
Step-by-step explanation:
Mary’s mother invested in an internet stock the price went up and down over the next few months: +32, -10 +13 -25 at the end of the time period had the price of the stock finished higher or lower than it started show work
Answer:
higher
Step-by-step explanation:
add all of these numbers, if the sum is positive it is higher, if the sum is negative it is lower
32-10+13-25=10, this is positive so it is higher
WILL MARK BRAINLIEST!!
Read and answer
try ur best :)
Answer:
C
Step-by-step explanation:
Answer:
It is 1.50
Step-by-step explanation:
3.d) A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles? * O 4:12 O 12:4 O 4:1 O 1:4
Explanation:
For every 4 blue, we have 12 yellow. This means 4+12 = 16 total.
The ratio of blue to total is 4:16 which reduces to 1:4 when we divide both parts by 4. The order of the values matters since 1:4 is different from 4:1.
Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
Answer:
1 1/5
Step-by-step explanation:
LCD = 15
8/15 + 2*5/3*5
8/15+10/15
8+10/15
18/15
6/5
1 1/5
help pls im so confused
What is the domain of the function below?
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
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You are purchasing plants and have 30 dollars.A mall plant cost $2.00 and a large plant cost $6.00 Let x represent the number of small plants and y represent the number of large plants write in standard form.
A.6y=2x+30
B.2x+6y=30
C.2y+6x=30
D.-2x-6y=30
Answer:
id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30
Step-by-step explanation:
id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30
good luck and have fun :)
Each sheep has 4 legs and each chicken has 2 legs. If a farm boy counts 50 heads and 140 feet, how many sheep are there?
1. 30 sheep
2. 20 sheep
3. 10 sheep
Answer:
20
Step-by-step explanation:
H+S=50
2H+4S=140
4H+4S=200
4H+4S=200-
2H+ 4S =140
2H=60
H=30
50-30=20
Given:
Each sheep has 4 legs and a chicken has 2 legs.
A farm boy counts total heads = 50
And number of legs = 140
To Find:
Number of sheep.
Solution:
Let the number of sheep in the farm = s
And the number of chicken in the farm = h
If the total number of heads = 50
s + h = 50 ------- (1)
If the total number of the legs = 140
Number of legs of 's' sheep = 4s
Number of legs of 'h' chicken = 2h
Therefore, 4s + 2h = 140
2s + h = 70 -------(2)
Subtract equation (1) from equation (2),
(2s + h) - (s + h) = 70 - 50
s = 20
Therefore, 20 sheep are in the farm.
Learn more to solve the equations,
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Please help me with this algebra problem, it’s in the picture. I’ll give you brainliest if it’s correct!!
Please Mark brainliast
please
If B is between C and D, BC = 10 in., and BD = 3 in., then CD = ________.
if B is between C and D, BC= 10 in., and BD=3 in., then CD =2AD