Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The proportions and their respective standard errors are given by:
[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]
[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]
For the distribution of the difference, the mean and the standard error are given by:
[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]
The test statistic is:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]
[tex]z = 1.9[/tex]
The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]
Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
A similar problem is given at https://brainly.com/question/25728144
Three numbers are in the ratio 3.5 7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Use an algebraic
solution to find the numbers
Answer:
6,10,14
Step-by-step explanation:
Find the area of this semi-circle with radius, r = 92cm. Give your answer rounded to 1 DP. rcm The diagram is not drawn to scale.
Answer:
142cm
Step-by-step explanation:
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The area of the circle semicircle will be 13288.28 square centimeters.
What is the area of a circle?Suppose the circle has a radius of 'r' units, then, its area is given as:
A = πr² square unit
The radius of the semicircle is 92 cm.
The area of the semicircle is half of the area of the circle.
Then the area of the circle semicircle will be
A = π x 92² / 2
A = π x 8464/ 2
A = 4232 x 3.14
A = 13288.48 square cm
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please answer fats i need it hurry
Answer:
78 inStep-by-step explanation:
26 * 3 = 78 in
Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.
The new graph will have equation y =
Answer: f(x)=3(x+4)+ 8
Step-by-step explanation:
Stretch vertically by a factor of 3: y = 3x
Then, translate two units leftward: y = 3(x+2)
Then, translate 8 units upward: y = 3(x+4)+ 8
What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)
[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]
There are no like terms so we can't simplify itFactoring[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]
[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]
Answer:
Choice D
Step-by-step explanation:
Factorise: 4x²-9y²
We can obtain the factorization by this identity:
a² - b² = (a+b)(a-b)Rewrite the given expression as:
(2x)² - (3y)²Let (2x)² be a and (3y)² be b according to the identity.
So applying the identity:
(2x+3y)(2x-3y)(2x-3y)(2x+3y)Choice D is accurate.
What is the value of H in the diagram below?
Answer:
The answer is 6.5
Step-by-step explanation:
It was a long process, but overall if you look at how long the segment x looks, it has to be less than half of the segment that is 30 units long so the only one that makes sense is 6.5
leana has left a mug of hot tea on the counter to cool off so she can drink it safely. She watches the steam rising up out of the tea. Which type of thermal energy transfer is occurring as the steam rises into the surrounding air?
Group of answer choices
conduction
sublimation
convection
radiation
The type of energy transfer that Leana is seeing as a result of steam rising is radiation.
Radiation is:
A method of energy transfer Works best in gas or open space between materialsThe steam rising from the tea is energy and it shows energy moving from the tea to the air. There is space between the tea and the air which means that it is radiation that the energy transfer is using as a conduit.
In conclusion, this statement describes radiation.
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100 points if you get this
Answer:
....
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
pls help with this question asap!
Answer:
ggggggggggggggggggggg
help!?!!!???
x-14=20
Answer:
x = 34
Step-by-step explanation:
Just add 14 on both sides of the equal sign to get x = 34.
Hope this helps :)
Answer:
x = 34
Step-by-step explanation:
hope it helps a lot
that's the final answer
What is the y-intercept of the graph of the equation 6x + 3y = 18?
Select the correct answer.
Which graph best represents a function with zeros of -3, 0, and 2?
Answer: C
Step-by-step explanation:
The answer is C
The graph C. represents the polynomial with zeros of -3, 0 and 2.
What are zeros of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.
Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.
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Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
pls simplify
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND GETS IT RIGHT!!!
Hello there!
Grace has $105 for pizzas and a cake.
She sets aside $25, so we subtract:
105-25=80
So she has $80 for pizzas.
Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):
The approximate answer is 8.6
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
Use the graph to identify the following: end behavior. for a branlist
Answer:
the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity
Step-by-step explanation:
After spraying perfume on her neck, Tasha becomes less aware of the scent over time. What property is this describing
Answer:
Sensory adaptation? im guessing
Step-by-step explanation:
What is 2 and 2/3 x 5
Answer:
13 and 1/3
Step-by-step explanation:
2×5=10
2/3 ×5 =10/3
10/3 simplifies to 3 and 1/3
Add them together to get 13 and 1/13
Write 456 in expanded notation using powers of 10
Answer:
400+50+6
Step-by-step explanation:
456 means 400+50+6
Marco is working with the equation s=kw his teacher told him that’s a varies directly with w if Marco substitutes 300 for s and 60 for w which of the following would be valid
Answer:
S = kpq 280 = k(5)(7) 280 = 35k 8 = k
Round 18.527 to the nearest tenth.
Answer:18.53
Step-by-step explanation:
7 rounding up will end up to three
Answer:
18.5
Step-by-step explanation:
A family travels a distance of 870 miles in 13 hours on vacation. What was the families average speed for this trip? s
Answer: 256.
Step-by-step explanation:
✨maThS✨
Solve for u
7=u/4-16
Answer:
u=92
Step-by-step explanation:
Like and give 5 star rating
Pls help I will put brainlist if u help me told nd thank u
Answer:
17+7=24
Step-by-step explanation:
I hope this help you
Answer
10
Step-by-step explanation:
Subtract 7 from both sides of the equation.
n=17−7
Subtract 7 from 17.
n=10
BRAINLIEST?
A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?
It will take 16.66years long for the money to double
The formula for calculating the compound amount is expressed as:
A = P(1+r)^t
A is the amount after t years = 2(900) = $1800P is the amount invested = $900r is the rate in decimal = 4.25% = 0.0425Substitute into the formula to have:
1800 = 900(1+0.0425)^t
2 =(1+0.0425)^t
2 = 1.0425^t
ln2 = tln1.0425
t = ln2/ln1.0425
t = 0.6931/0.0416
t = 16.66years
This shows that it will take 16.66years long for the money to double
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please answer fast i need it
Answer:
AB = 2.625
Step-by-step explanation:
BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is
[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia
[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )
10 AB = 6(7 - AB) ← distribute
10 AB = 42 - 6 AB ( add 6 AB to both sides )
16 AB = 42 ( divide both sides by 16 )
AB = 2.625
Find the measures of angles 1 and 2.
Answer:
angle one:100 degrees
angle two:70 degrees
Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.
In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph
Answer:
You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.
Step-by-step explanation:
What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.
The average rate of change of the function is -59.4
The formula for calculating the rate of change of the function is expressed as:
[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]
Given the function
[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]
Get the value of f(2)
[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]
Substitute into the formula to have:
[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]
Hence the average rate of change of the function is -59.4
Learn more on the rate of change here: https://brainly.com/question/11627203
What is the mean absolute deviation (MAD) of the data set?
2, 6, 8, 12, 12
Enter your answer as a decimal in the box.
Answer:
2+6+8+12+12=40
40 divided by 5=8
6+2+0+4+4=16
16 divided by 5=3.2
MAD=3.2
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
I took the test
Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?
Answer:
8 miles per week!
Step-by-step explanation:
40 miles / 5 weeks = 8!
so it would be 8 miles per week.
i hope this helps!!
t+27-19=100
what is the answer to this problem
Answer:
92
Step-by-step explanation:
t+27-19=100
t+8=100
t=100-8
t=92
Hope this helped u...
