Answer:
X > 10
Step-by-step explanation:
Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed 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.\
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.
During a science experiment, your teacher does a demonstration. She takes a
small piece of rope, weighs it to find its starting weight, burns it, and then
weighs it again. The final mass of the product is different from the starting
weight of the reactant.
Why is the final mass different? Does this mean that the product has less
mass? Why or why not?
Answer:
less mass
Step-by-step explanation:
The product has less mass because some of its mass got burned. Hope this helps!
some parts of the rope turned into gasses because of the intense heat (fire)
What times 21 equals 7? Is that even possible to multiply something by 21 to get 7?
Answer:
Step-by-step explanation:
PLSS help i dont understand I found w =59 but dont know how to find the rest
Answer:
i think that Y= 59 because of it being a vertically opposite angle and X= 121 because of the line being a straight one and angles on a straight line add to 180
Step-by-step explanation:
hope this helps :))
Find the missing number?
Answer:
$4.60 and $18.40
Step-by-step explanation:
The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.
Let p: A student plays basketball.
Let q: A student plays tennis.
How many students play both basketball and tennis?
4
8
32
36
Answer:
the answer is 4
Step-by-step explanation:
By the concept of the intersection of sets 4 students play both basketball and tennis
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
In this example, we search for the group of students who participate in both sports because we are aware that p is the set formed by the students who play basketball and q is the group formed by the students who play tennis. In other words, we seek the point at where the sets p and q intersect.
Each set is represented by a circle in the Venn diagram, and the set produced by the intersection of p and q is represented by the area where the two circles overlap.
This graph demonstrates that there are 4 kids that participate in both basketball and tennis.
learn more about sets and Venn diagrams here :
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Solve and explain please
Answer:
Angle A is 64 degrees
Step-by-step explanation:
See attachment
Which function h(x) results when g(x) is translated IT
units right and 1 unit down?
Answer:
b on edge
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Got it right on Edge
FIRST ANSWER GETS CROWNED BRAINLIEST!!!
If the slope of a line is 1/2, find x when (-4, 12) and (x, 5) ?
Please show formula.
Answer:
x = -18
Step-by-step explanation:
Well you just have to do the this formula to find the slope
[tex]\frac{y2 - y1}{x2 - x1}[/tex] Plug in
[tex]\frac{5 - 12}{x - -4 }[/tex] = [tex]\frac{-7}{?}[/tex]=[tex]\frac{1}{2}[/tex]
So we know x will have to be a negative to get 1/2
I would think x = -18 because -18 - -4 = -14 so it would look like this
[tex]\frac{5 - 12}{-18 - -4}[/tex] = [tex]\frac{-7}{-14}[/tex] =[tex]\frac{1}{2}[/tex]
When you further simplify -7/-14 you get 1/2
Wade has three more quarters than dimes. The total value of the dimes and quarters together is $13. How many quarters does he have?
Answer:
38 Quarters
Step-by-step explanation:
D=number of dimes; Q=number of quarters=D+3
.
$0.10D+$0.25Q=$13
$0.10D+$0.25(D+3)=$13
$0.10D+$0.25D+$0.75=$13
$0.35D=$12.25
D=35
.
Q=D+3=35+3=38
ANSWER: He has 38 quarters.
if f(x)=3^x+10 and g(x)=2x-4, find (f-g)(x)
=====================================
Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( f(x) ) - ( g(x) )
(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )
(f - g)(x) = 3^x + 10 - 2x+4
(f - g)(x) = 3^x - 2x + (10+4)
(f - g)(x) = 3^x - 2x + 14
Step by step 2 step equation: v/6-4=-5
Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
A. y = 34x + 2
B. y = –34x + 2
C. y = 43x + 2
D. y = –43x + 2
Isaac bought 18 boxes of cereal. This is 30% of the total boxes at the store. How many total boxes of cereal were at the store?
Answer:
60
Step-by-step explanation:
30% of total boxes at the store is equal to 18
so
[tex](30 \div 100 ) \times x = 18 \\ x = 18 \times( 100 \div 30) = \\ 18 \times (10 \div 3) = \\ 6 \times 10 = 60[/tex]
The 18 boxes of cereal Isaac purchased. This represents 30% of all the boxes in the store then total boxes of cereal at the store exists 60.
What is meant by percentage?Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. To exstimate a percentage, you divide the portion of the whole by the whole itself and multiply by 100.
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
The total no of boxes = y × 100/x
Given x = 30%
y = 18 boxes
Total boxes at the store = 18 × 100/30 = 60
Therefore, the total boxes of cereal at the store exists 60.
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There are 12 girls for every 16 boy in class.
What is the ratio of boys to girls?
Write the ratio 3 ways.
0.04 Equation Editor
Answer:
Step-by-step explanation:
Equation 3.0.
Which equation shows a proportional relationship? *
y= -2x +5
y= 3+ 5x
y= -3x
Answer:
y= -3x
Step-by-step explanation:
The graph of a line with a proportional relationship would have the line go through the origin.
Since the 'y=-3x' equation only shows the slope of the line, it goes through (0,0), or the origin, as it's y-intercept.
y= -3x should be the correct answer.
Hope this helps.
What is the measure of the missing angle?
76
166
86
156
Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.
The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice
Answer:
A, D, E
Step-by-step explanation:
The statements that are true about the graph of the function are
The function in vertex form is f(x) = (x - 4)^2 - 11.The y-intercept of the function is (0,5).The function crosses the x-axis twiceVertex and intercept of a functionThe standard equation of a function in vertex form is expreseed as:
a(x-h)^2 + k
Given the quadaratic function f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5
f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11
Find the y-intercept.
This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5
Hence the y-intercept of the function is at (0, 5)
Since the quadratic function has a leading degree of 2, hence the function crosses the x-axis twice
Learn more on vertex and intercepts here: https://brainly.com/question/12778829
Steve stayed after school for extra activities 55% of the 180 school days this year. How many days did Steve stay after school?
Answer:
11/20 or 99/180 days
Step-by-step explanation:
55/100 converted to ?/180
180/100=1.8
so you would do the same on the numerator which is 55*1.8=99
99/180= 33/60=11/20
Answer:
125
Step-by-step explanation:
if the first one was blurry but pls help
Answer:
400 minutes it will take
Please help will mark brainliest and 20 points
Answer:
10 weeks
Step-by-step explanation:
she already has 14
so 5 x 10 = 50
14+50=64
I need to figure this out
Answer:
plug in the missing numbers and you have the answers
Step-by-step explanation:
6×5=232+4×3=4427×3-(16+3×5)=507×5÷3+2=13.62×7-4×3=2what's the slope of these two lines
Answer:
the green line is 3/4 and the blue line is-3/4
Describe the series of rigid transformations that maps PQS onto P’’’ Q’’’ S’’’
Would love an answer by tomorrow!!! Due: 10/6/20 9AM (thanks!!)
Answer: Look in the pdf I attached
Step-by-step explanation:
On the second page it has answers
2x-4y=28 solve for y
Answer:
y=7+1/2x
Step-by-step explanation:
Hope this helps
What is the area of this triangle? And it's not 60, I already checked. PLEASE EXPLAIN!!!!
Answer:
A = 4 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b*h
The base is 4 and the height is 2
A = 1/2 ( 4*2)
A = 1/2*8
A = 4 cm^2
Answer:
4
Step-by-step explanation:
A = BH/2
or Area = Base multiplied by Hieght divided by 2.
(b)4 x (h)2 = 8
8/2 = 4
How many solutions does this equation have ?
2(2x-1)=(x+1)+3(x-1)
2. Which property is being used in the second line?
line 1: (4.5.-1). -6
line 2: 4.5 .(-1.-6)
line 3: 4.5 .6
line 4: 27
O A. Distributive
O B. Commutative
O C. Associative
O D. Additive Inverse
Answer:
C associative to associate both of them
Silver washed her dresses. She ironed them in 40 minutes. If she can iron 2 dresses in 10 minutes, write the number of the dresses, she had washed.
Answer:
8)
Step-by-step explanation
Its 8 because 2 x 4 = 8, or
2 x 2 x 2 x 2 = 8.