A resident of Bayport claims to the City Council that the proportion of Westside residents
(1) with income below the poverty level is lower than the proportion of Eastside residents
(2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses.
Calculate the value of the test statistic (round to 4 decimal places).
Calculate the p-value (round to 4 decimal places).
Answer:
The test statistics is [tex]z = -1.56 [/tex]
The p-value is [tex]p-value = 0.05938 [/tex]
Step-by-step explanation:
From the question we are told
The West side sample size is [tex]n_1 = 578[/tex]
The number of residents on the West side with income below poverty level is [tex]k = 76[/tex]
The East side sample size [tex]n_2=688[/tex]
The number of residents on the East side with income below poverty level is [tex]u = 112[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 < p_2[/tex]
Generally the sample proportion of West side is
[tex]\^{p} _1 = \frac{k}{n_1}[/tex]
=> [tex]\^{p} _1 = \frac{76}{578}[/tex]
=> [tex]\^{p} _1 = 0.1315 [/tex]
Generally the sample proportion of West side is
[tex]\^{p} _2 = \frac{u}{n_2}[/tex]
=> [tex]\^{p} _2 = \frac{112}{688}[/tex]
=> [tex]\^{p} _2 = 0.1628 [/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]p = \frac{k + u}{ n_1 + n_2 }[/tex]
=> [tex]p = \frac{76 + 112}{ 578 + 688 }[/tex]
=> [tex]p =0.1485[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }[/tex]
=> [tex]z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }[/tex]
=> [tex]z = -1.56 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z < -1.56 )[/tex]
From z-table
[tex]P(z < -1.56 ) = 0.05938[/tex]
So
[tex]p-value = 0.05938 [/tex]
-18 - 6n= 6 (1 + 3n)
Answer:-1
Step-by-step explanation:-18-6n = 6 + 18n
-6n=6
divide
n=-1
Answer:
-1
Step-by-step explanation:
First, divide by 6
-18/6- 6n/6=6/6(1+3n)
-3-n= 1+3n
Then move the variable to one side
-3-n+n= 1+3n+n
-3=1+4n
Then isolate the variable
-3-1=1-1+4n
-4=4n
Isolate more
-4/4=4n
-1=n
I NEED HELP
(-8, 6); slope = 1/4
6 = 1/4(-8) +b
6 = -2 +b
8 = b
y = 1/4x +8The equation of this line having slope 1/4 and points (-8,6) is y = (1/4)x + 8.
What is slope ?Slope is the rate of change.It can also be thought of as rise over run.
According to the given question slope(m) is 1/4 and point is (-8,6).
We know equation of a line in slope intercept form is y = mx + b, where b is the y intercept.
∴ 6 = (-8)1/4 + b.
6 = - 2 + b.
b = 8.
Now the equation of this line in slope intercept from can be written as
y = (1/4)x + 8.
learn more about equation of a line here :
https://brainly.com/question/2564656
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Write the equation of the line passing through the points (6,16) and (9,25).
First find the slope!
Answer:
y = 3x - 2
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.
Plug in the 2 points:
(y2 - y1) / (x2 - x1)
(25 - 16) / (9 - 6)
9 / 3
= 3
So, the slope is 3. Plug this and a point into y = mx + b to find b:
y = mx + b
16 = 3(6) + b
16 = 18 + b
-2 = b
Then, plug in b and the slope into the equation:
y = mx + b
y = 3x - 2 is the equation of the line
solve for brainliestA keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .
Answer:
[tex]his \: reasoning \: is \: correct.[/tex]
Step-by-step explanation:
[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]
100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
y=5.8
x=10
Step-by-step explanation:
30\3=10
10-4.2=5.8
Answer:
x = 10 cm
y = 5.8 cm
Step-by-step explanation:
Area of a rectangle
[tex]\large\boxed{A=l\:w}[/tex]
where l is the length and w is the width.
From inspection of the given rectangle:
Width = 3 cmLength = x = y + 4.2 cmArea = 30 cm²Substitute the given values of area, width and length into the formula and solve for x:
[tex]\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}[/tex]
Substitute the found value of x into the expression for length and solve for y:
[tex]\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}[/tex]
What are the possible degrees for the polynomial function?
degrees of 6 or greater
even degrees of 6 or greater
degrees of 5 or greater
odd degrees of 5 or greater
Answer:b
Step-by-step explanation:on edge2020
If sea turtles can travel 2.8 at top speed in two hours how far did it travel in one hour
Answer
1.4 miles
Step-by-step explanation:
2.8÷2=1.4
I need help fast
please help
what is 7 - 4 = 5x - 13
Answer:
x=16/5
Step-by-step explanation:
7-4=5x-13
3=5x-13
+13. +13
16=5x
16/5 = x
I don’t understand this question.
x y
-1 3
0 5
1 7
2 9
1. What is the slope? m=
2. What is the y-intercept? b=
3. Write the equation in slope-intercept form:
Answer:
m=2(0,5)2x+5Step-by-step explanation:
The slope is achieved through (5-3)/((0-(-1)) which is 2. The y-intercept is just where x=0 on the equation so (0,5). 3. Put it all together in y=mx+b to get 2x+5. Hope that helps!
6x^2-18x-18=6
CAN SOMEONE EXPLAIN PLS
Which equation could be used to generate the following table?
x y
-2 7
-1 6
0 5
1 4
2 3
a
y = -x + 5
b
y = x + 5
c
y = 5x - 1
d
y = -x - 5
Answer:
ur welcome
Step-by-step explanation:
x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done
Round 0.051866 to 2 significant figure
Answer:
your answer would be 0.052
Luke and Leia are selling hot dogs and hamburgers at a minor league baseball game. At the end of the day they determine they have sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?
What would be a system of equations for the scenario above?
Answer:
15 hamburgers were sold and 30 hotdogs were sold.
The systems of equations are x + y = 45 and 4x + 5y = 195.
Step-by-step explanation:
Let's make two equations.
x + y = 45
This represents the total of hotdogs and hamburgers sold
4x + 5y = 195
This represents the amount of money made for each food.
These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.
Let's multiply -5 to both x and y.
Now we have -5x -5y = -225 + 4x + 5y= 195
We will end up with -x = -30. This means that x = 30.
Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.
Solve for y in 30 + y = 45, so y=15.
This means 15 hamburgers were sold and 30 hotdogs were sold.
Can someone explain both of these ratios and answers to me?
Answer:
15 ( for Herimone) And 8 ( For Stranger Things)
Step-by-step explanation:
When Herimone uses 5 grams of Pearl Sheen she creates 30 fluid ounces of love potion. Last week she created 90 ounces which is 3 times larger than 30 ounces so you have to multiply 5 by 3 to figure out the amount of Pearl Sheen she used which is 15
For stranger things they Multiplied 3 by 2 so you have to multiply 1 by 2 to get 2. Then you have to add 6 and 2 to get 8 kids.
Hope This Helps!
If 6 bags of chocolate chips are needed to make 86 cookies, how many cookies can 8 bags chocolate chips make?
Answer:
114.666666667
Step-by-step explanation:
Step 1:
6/86 = 8/x Equation
Step 2:
6x = 688 Multiply
Step 3:
x = 688 ÷ 6 Divide
Answer:
x = 114.666666667
Hope This Helps :)
Luke ate a snack with 91 total calories. If the chips he ate were 41.2
calories, how many calories were in the rest of his snack? *
50.8
132.2
049.8
Answer:
132.2
Step-by-step explanation:
you just add the percentage of its calories
Suppose there is a 27.4% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 29.3% probability that a randomly selected person age 40 years or older is male, given that he or she jogs.
Required:
a. What is the probability that a randomly selected person age 40 years or older is male and jogs?
b. Would it be unusual to randomly select a person aged 40 years or older who is male and jogs?
Answer:
a
[tex]P(M \ n \ J ) = 0.0802 [/tex]
b
Yes
Step-by-step explanation:
From the question we are told that
The probability that a random selected person of age 40 years or older is a jogger is [tex]P(J) = 0.274[/tex]
The probability that a random selected person of age 40 years or older is a male given that he/she jogs is [tex]P(M |J) = 0.293[/tex]
Generally the probability that a randomly selected person age 40 years or older is male and jogs
[tex]P(M \ n \ J ) = P(M|J) * P(J)[/tex]
[tex]P(M \ n \ J ) = 0.293 * 0.274 [/tex]
[tex]P(M \ n \ J ) = 0.0802 [/tex]
Generally it would be unusual because the probability that a randomly selected person age 40 years or older is male and jogs is greater than 0.05[border line for statistical significance]
The figures below are scaled copies. Identify the corresponding parts.
Answer:
a. ∠U
b. ∠D
c. WX
d. ST
Step-by-step explanation:
20 POINTS PLEASE HELP!!!!! Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75
and each drink cost 50 cents. In total, Charlie paid $25.50 for his order.
Write an equation that represents the relationship between the number of
hamburgers he bought, h, and the number of drinks he bought, d.
Answer:
3.75h + 0.5d = 25.50
Step-by-step explanation:
3.75h is $3.75 multiplied by h, the amount of hamburgers they buy. same goes for 0.5d it’s 50¢ multiplied by d, the amount of drinks they buy. then both those variables added has to equal $25.50 because that’s how much they spent total.
Item 10
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
5-ounce can
12-ounce can which is the right answer 5-ounce can or 12-ounce can help fast pls
Answer:
The 5-ounce can if divided by five to how to cost for 1-ounce would be $0.18. Then you divide the 12-ounce by 12 for 1-ounce which is $0.2. So the 5-ounce is better.
Step-by-step explanation:
Hope this helped!
2. Given the linear equation 2x + 3y = 9.
a.
Write the equation in the form y = mx + b.
Answer:
y = -2/3x + 3
Step-by-step explanation:
3y = -2x + 9
y = (-2x + 9)/3
y = -2/3x + 3
how do you find the solution to this inequality? please explain to me step by step how to do this
x - 8 > -3
Answer:
x > 5
Interval form: (5, infinity)
Step-by-step explanation:
Just add 8 to both sides of the inequality:
x > 5
Therefore, x must be greater than 5.
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16, a) what is the probability that the sample mean is above 95? (4 d.p.) b) What is the value, of which there is 97.5% chance that a sample mean is less than that value? (1 d.p.)
Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
If a • b = 0, and a ≠ 0, then b=
Answer: 5573
Step-by-step explanation:
Today it rained 2 inches and continues to rain at a rate of one fourth inch per hour what is the liner model in y=X+
Answer:
y=[tex]\frac{1}{4}[/tex]h+2
Step-by-step explanation:
Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 20% 20% 360% X X X Y Y Y X = 2.5; Y = 2.5 X = 5; Y = 0.75 X = 15; Y = 3 X = 15; Y = 5
Answer: c
Step-by-step explanation:
Based on the percent breakdown of 360%.
100% 100% 100% 20%20%20%
15. 15. 15. 3. 3. 3.
100% is all of it, so 15. This is x.
20% of it would be calculated as 0.2 x 15 or 3. This is y.
Answer:
c
Step-by-step explanation:
The function y=30x represents the distance in miles, y, a car travels after x hours.
Answer:
first option
Step-by-step explanation:
Answer:
A. The total distance the car travels in miles between hours 3 and 7.
Step-by-step explanation:
I took the test!