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
Answer Quick! No links, please.
Answer:
#1
Slope: 1/2
Y Intercept: -3
#2
Slope: -3
Y Intercept: 2
What is 1+1?
I really need this answer i dont know it
Answer:
2
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR
question 1. is 2
question 2 -13
Answer: Question 2 answer is 4 Question 3 answer is 12
Step-by-step explanation:
Question 2: 42*4=168
43*5=210
Will give brainliest!
Answer:
1[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
17/20 + 7/20
17+7=24
24/20 =1.2
1 [tex]\frac{4}{20}[/tex]
can simplify to be 1[tex]\frac{1}{5}[/tex]
Answer:
1 1/5
Step-by-step explanation:
17/20 + 7/20 is equal to 24/20. Because the denominater (20 in this case) is the same we can leave it there and just add the numerator.
Now to simplify into a proper fraction. We know that only 1, 20 goes into 24 because if there was 2, 20's it would be 40 which is greater than 24. So 24 - 20 is 4. Therefore the answer is 1 4/20 which can be simplified to 1 1/5
What is the slope between the points (-2, 3) and (1, 0)
Help me please!!!!!!!!!!!!!!!!!!
Answer:
d.
took the test
Step-by-step explanation:
I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?
The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows
(a) The number line solution contains zero
Using algebra, we have;
The given quadratic inequality is; -x² + 4 ≥ x + k
The number line solution is the expression of the solution on the number line.
We have;
-x² + 4 ≥ x + k
-x² - x + 4 - k ≥ 0
Dividing by (-1), we get;
x² + x - 4 + k ≤ 0
When - 4 + k = -2
k = 2, we get;
x² + x - 4 + 2 ≤ 0
x² + x - 2 ≤ 0
(x - 1)·(x + 2) ≤ 0
Given that the result of the product is less than zero, we have;
((-3) - 1)·((-3) + 2) > 0
Therefore, the solution are;
x ≤ 1, or x ≥ -2
Which gives
-2 ≤ x ≤ 1
Using diagram;The solution of the above inequality includes 0 as shown in the attached number line
Graphically;The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1
(b) There are no solution to the inequality
In the present case, we have;
((-1)² - 4×(-1) × (4 - k) < 0
17 - 4·k < 0
[tex]k > \dfrac{17}{4}[/tex]
Let k = 5, we have;
-x² + 4 ≥ x + k
-x² - x + 4 - 5 ≥ 0
-x² - x -1 ≥ 0
The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real
roots to inequality, and -x² - x -1 is not equal to zero.
GraphicallyPlease find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0
(c) The solution is a single number
-x² + 4 ≥ x + k
When k = x + 5, we have;
0 ≥ x² + 2·x + 1
0 ≥ (x + 1)²
Therefore;
The only solution is; x = -1
Using diagrams:
Please find attached the solution of the function on the number line
GraphicallyThe graph of the function showing only one intercept is attached
Learn more here:
https://brainly.com/question/11982012
Determine whether the statement is always, sometimes, or never true.
If △JKL ≅ △MNP, then m∠L = m∠N.
Complete the explanation of your reasoning.
The statement is always/ sometimes/ never true.
∠L corresponds to ∠P.
By [CPCTC/ Triangle Sum Theorem/ SAS Triangle Congruence Theorem], ∠L ≅∠P.
If ∠P ≅∠N, then ∠L [≅/≇ ] ∠N by [CPCTC/ Triangle Sum Theorem/ SAS Triangle Congruence Theorem], ∠L ≅∠P.
and m∠L [≅/≇ ] m∠N.
Please help this is on HMH I will give Brainliest if it's right! :)
Answer:
I am pretty sure the correct answer is never true
Step-by-step explanation:
This is because when,
Δ JKL ≅ Δ MNP
Then, ∠J ≅ ∠M
∠K ≅ ∠N
∠L ≅ ∠P
so ∠L ≠ ∠N
i hope this is right haha
PLEASE HELP i will give brainliest no links
Answer:
y=5x
Step-by-step explanation:
y=ax
use any value of x and y from the table
I chose (2,10)
10=2a
10/2=a
a=5
Evaluate [tex]\frac{15}{k}[/tex] when k =3
HELPPPP!!! please answer the question in the picture below
=================================================
Solution:[tex] \rightarrow [/tex]Formula: Amount = P x (1 + R x T)
[tex] \rightarrow [/tex] = 1,400 x (1 + 3.4% x 4)
[tex] \rightarrow [/tex] = 1, 400 x (1 + 0.034 x 4)
[tex] \rightarrow [/tex] = 1,400 x (1 + 0.136)
[tex] \rightarrow [/tex] = 1,400 x 1.136
[tex] \rightarrow [/tex] = 1,590.4
Simplify (5p+1.49)-(2p+6.49)
Thank you!
Find the equation of the line that has a slope of 1 and passes through the point (−10,−6).
Answer:
See below.
Step-by-step explanation:
Hi there!
We want to find the equation of the line that has a slope (m) of 1 and that passes through the point (-10, -6)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeSince we are given both a point and a slope in this situation, it makes sense to write the equation in point-slope form.
Let's label the values of everything we were given to avoid confusion and mistakes:
m=1
[tex]x_1=-10\\y_1=-6[/tex]
Now substitute these values into the equation (note: we have NEGATIVE numbers, while the formula gives SUBTRACTION, which is why we're subtracting a negative)
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y--6=1(x--10)[/tex]
Simplify:
y+6=1(x+10)
The equation can be left as this, or it can be converted into slope-intercept form if you wish.
In that case, we would distribute 1 to each number on the right side.
y+6=x+10
Then, we'll isolate y on one side. Subtract 6 from both sides.
y=x+4
You can also convert it into standard form if you would prefer it that way. To do that, start with slope-intercept form, which we earlier found as y=x+4
In standard form, x and y are on the same side. So subtract x from both sides to move it
-x+y=4
Remember we don't want a (the coefficient in front of x) to be negative. In order to flip the sign, multiply both sides by -1
x-y=-4
Therefore, the answer can be written as y+6=1(x+10), y=x+4, or x-y=4.
Hope this helps!
Question 7 of 10
If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?
A. 1/3
B. 3/4
C. 3/8
D. 1/12
P(A n B) = P(A U B) - P(A) - P(B)
= 11/12 - 3/4 - 1/2
= (11 - 9 - 6)/12
= 4/12
= ⅓
What is the slope of the line that passes through (0, 7) and (3, 10)?
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )
m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
Learn more about cross join here:
https://brainly.com/question/24263570
MATHS MIDDLE SCHOOL ANSWER ASAP PLEASE
Answer:
A. 1
B. -1
C. 5
Step-by-step explanation:
A. Using the Formula, we get u sub 2 = 9-9+1, which is just 1
B. Using the Formula, we get u sub 3 = 1-3+1, which is equal to -1
C. Using the Formula, we get u sub 4 = 1-(-3)+1, which is just 1+3+1 = 5
Find the perimeter. Simplify your answer.
Answer:
6z-30 :D
Step-by-step explanation:
Step-by-step explanation:
The perimeter of a square is just all the sides added up together. To do this we can make an equation.
2(z-5) + 2(2z - 10)
This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.
2z - 10 + 2(2z - 10)
We then use the distributive property by multiplying 2z - 10 by 2.
2z − 10 + 4z − 20
We then combine 2z and 4z to get 6z.
6z − 10 − 20
Subtract 20 from 10 to get -30.
6z-30.
Tim needs a total of $499 to buy an ipad. He has $187. How much more money does he need to save to buy the Ipad?
Answer:
312
Step-by-step explanation:
499-187
Answer: Tim needs to save $312 more.
Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>
Please help me!!
Find the absoutle value
7) /-5.5/
9) /14 1/3/ *1/3 is a fraction next to the the whole number 14*
6) /5 3/4 *3/4 is a fraction next to the whole number 5*
10) /-7.75/
14) 135.41
PLS WILL MARK BRAINLIST
Please help me solve this problem ASAP !
How many times does it intersect on the graph? y=x^2+3x-2, y-x=4
Solve the system of equations by substitution.
3/8x + 1/3y = 17/24
x + 7y = 8
Please helppppp
Reagan solved 5.25 = 5 and got 105. What did Reagan do wrong?
Answer:
He did not simplify correctly and forgot to place the decimal point correctly.
Step-by-step explanation:
To simplify the equation, one needs to divide both sides of the equal sign by 5.
i.e 5.25/5=5/5
Here we find 1.05=1
Note the placement of the decimal point.
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
cahahahahhddbsbshshsjs 98 +_=366
Answer:
268
Step-by-step explanation:
366 minus 98= 268
CAN I GET BRAINLIEST
a
Piper is going to use a computer at an internet cafe. The cafe charges $0.60 for every
minute using a computer on top of an initial charge of $6. Make a table of values and
then write an equation for C, in terms of t, representing the total cost of using a
computer for t minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
0
1
2
3
$6.60 because 6.00 + 0.60 = 6.60
2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)
Please explain
Answer:
x = 1
y = -3
Step-by-step explanation:
There are 2 ways, in this case the best way is by substitution so:
y = x - 4
y = -3x
basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.
y = -3x
so that means that
-3x = x - 4
you solve the equation:
-3x - x = -4
-4x = -4
x = -4 : -4
x = 1
Now we know that x is 1 so now we find out what is y
y = 1 - 4
y = -3
Will give brainliest
Answer:
I hope this helps.
Step-by-step explanation:
The quotient of 5 divided by q minus the product of 5 and q.
Answer: (5/q-5q)
The product of 5 and the difference of q minus 5.
Answer: (5(q-5)
The quotient of q divided by 5 plus the product of 5 and q.
Answer: (q/5+5q)
The sum of 5 and the product of 3 times q.
Answer: (5+3q)
What is the slope of the line?
Answer:
[tex]m=\frac{2}{3}[/tex]
Step-by-step explanation:
We can see that some of the points that are plotted we can tell what those plots are (-2, 0) (1, 2) (4, 4)
We use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] for any of the two plots that are shown on the line
Answer:
2/3
Step-by-step explanation: