The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 24 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 17 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. To determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not, test the following hypotheses.
a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not .
(b) Calculate the value of the test statistic z.
(c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using alpha=0.05.

Answers

Answer 1

Step-by-step explanation:

a) Hn: p1=p2, Ha: p1≠p2

b)

Given:

p1=24/85=0.2824

p2=17/80=0.2125

p=(24+17)/(85+80)=41/165=0.2485

n1=85

n2=80

Z=(p1-p2)/[p(1-p)(1/n1+1/n2)

Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)

Z=1.0384

c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.

Answer 2

a) The null hypothesis is given by Hn: p1=p2, Ha: p1≠p2

What is null hypothesis?

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

Given that:

p1=24/85=0.2824

p2=17/80=0.2125

p=(24+17)/(85+80)=41/165=0.2485

n1=85

n2=80

Z=(p1-p2)/[p(1-p)(1/n1+1/n2)

Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)

Z=1.0384

c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.

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Related Questions

Which statement is true about

Answers

Answer:

About what and give me the picture

A recipe calls for 3 cups of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?

Answers

The answer is 15 cups

multiplying and simplify radicals!

if u get it right I’ll give brainliest (show math pls!!!)

I would rlly appreciate it if y’all help me! :)

Answers

Answer:

≈ 107.33...

Step-by-step explanation:

2 [tex]\sqrt{12}[/tex] x 4[tex]\sqrt{15}[/tex] = 8 [tex]\sqrt{12 *15}[/tex] ≈ 8 x 13.41.. ≈ 107.33...

I need the surface area again plz

Answers

Answer:

31

Step-by-step explanation:

A=2(wl+hl+hw)

l -Length  

w-Width  

h-Height

A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31

Select the correct answer from each drop menu. A functions with the domain {2,3,4} has a specific range. Determine the function and its range. The function with the domain {2,3,4} is, and it's range is?​

Answers

Answer:

2 6 8 is the oneeeeeeeeeee

2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.

Answers

Answer:

4/6

Step-by-step explanation:

(1/6 times 4)make 4 into a fraction and that is 4/1  multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6

The expression that represents the fraction is 1/6 * 1/4 or 1/24

How to determine the fraction?

The given parameters are:

Amount of candy = 1/6 pounds

Number of bags = 4

The expression that represents the amount in each bag is:

Amount = Amount of candy/Number of bags

This give

Amount = 1/6 / 4

Express as product

Amount = 1/6 * 1/4

Evaluate

Amount = 1/24

Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24

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Solve for x

5 - 9x = -76​

Answers

Answer:

9

Step-by-step explanation:

Subtract 5 from each side and get -9x = -81.

Divide by -9.

The answer is 9.

Answer:

x=9

Step-by-step explanation:

5-9x=-76

-9x=-5-76

-9x=81  divide both sides be -9

x=9

What is the solution to Three-fourths a greater-than negative 16?
a greater-than negative 21 and one-third
a less-than negative 21 and one-third
a greater-than 21 and one-third
a less-than 21 and one-third

Answers

Answer:

A

Step-by-step explanation:

Either A or D, this question made me lose braincells, you should get a new teacher

Answer:

A

Step-by-step explanation:

I did the test :)

can someone help me with this thanks

Answers

Answer:

it is E

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The definition of a secant is : A straight line or ray that intersects a curve, especially a circle, at two or more points. On this problem ray AB is a secant. So the answer is D.

Write 3 1/9 as an improper fraction.

Answers

The answer is 319. 3 1/19 is = to 319

The improper fraction of the given mixed fraction is [tex]3\dfrac{1}{9}[/tex].

When the numerator exceeds or is equal to the denominator, the fraction is said to be inappropriate. 5/2 and 8/5, for instance, are incorrect fractions. The numerator and denominator are the two components of any fraction.

The given fraction is:

[tex]3\dfrac{1}{9}[/tex]

To convert this fraction into an improper fraction,

Multiply 3  with 9 then add it to the numerator,

[tex]\dfrac{3\times 9 + 1}{9} \\\\\dfrac{27 + 1}{9}\\\\ \dfrac{28}{9}[/tex]

Therefore,

[tex]3\dfrac{1}{9}[/tex] [tex]= \dfrac{28}{9}[/tex]

Hence,

The improper fraction of [tex]3\dfrac{1}{9}[/tex]  is [tex]\dfrac{28}{9}[/tex].

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Find the area of the composite figure.
9 ft
4 ft
6 ft

Answers

92 square feet is the answer

20 POINTS HELP!!
What value of x and y make the polygon below a parallelogram

Answers

Answer:

Step-by-step explanation:

3x = 12

x=4

x+y =5y

4+y = 5y

4 = 4y

1=y

Answer:

x-5 = y

72 -5 = 67

y=67

x = 72

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

That being the case,

6x = 72

x = 12 In a parallelogram, the diagonals bisect each other.

That being the case,

6x = 72

x = 12 and the diagonals measure

144 and 134

i hope this helps!! ^_^

70×2+20×30+19
are you okk guys❤​

Answers

Answer: ...BEDMAS..

steps,..

70×2+20×30+19

140+600+19

740+19

=759

.... and I'm not all fine lol...wau guy??

Pazonian packing up a little

Answers

Answer:

a little strap

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Which expression is equivalent to the following complex fraction?
CO (
이고
X X
2
X-
2x

2x-2
X
12x
x-1



44 minutes left please help !!!!!!

Answers

Answer:

[tex] \frac{x - 1}{2x} [/tex]

Step-by-step explanation:

This is a correct answer.

Can someone tel me which ones i need to put? I need to put 2.

Answers

Answer:

B C E are the three crt options

Step-by-step explanation:

An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is: Expression = (Number, Math Operator, Number)

Answer:

A and C are equations

Step-by-step explanation:

B and E are inequalities

D is an expression

6 pounds of sugar for $3 how much per pound

Answers

Answer:

$0.5

Step-by-step explanation:

3/6 = 0.5

please help asap!!

i need more chars here but please do help me

Answers

Answer:

Square root of 16 is not 16

it’s not correct because the square root of 16 is 4 and not 16

8.82 is 21% of what number?

Answers

Answer:

42 I think, i could be wrong

Step-by-step explanation:

it’s 42 because you have to take 8.82 and divide it into 0.21 (8.82/0.21) and you’ll get 42!


PLEASE HELP PLEASE

A girls' choir is choosing a uniform for their concert. They can pick red, green or
purple sweaters, and they can pick tan, white or black skirts. The shoes they need
come in gold and black. Assuming all combinations are acceptable, how many
different combinations can the choir pick?

Answers

Answer:

18

Step-by-step explanation:

Answer:   18 different outfit combinations

=============================================================

Explanation:

There are 3 colors to pick for the sweaters (red, green, purple).There are 3 colors for the skirts (tan, white, black)There are 2 colors for the shoes (gold, black)

Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.

There are 18 different outfit combos.

---------------

Further explanation (optional section):

Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.

For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.

Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.

DF and GI are parallel lines.

Which angles are alternate interior angles?

Answers

Answer:

your answer is no. d . Because of alternate <

Can someone explain how to do this

Answers

Answer:

28 x 6

Step-by-step explanation:

You times 28 with 6 snice, there are 6 sides.

28 x 6 = 168 meters

Answer: 168 meters

A number cube is rolled 35 times and the results are recorded in the table.A goodness-of-fit chi-square test is to be used to test the null hypothesis that the cube is fair. At a significance level of α = 0.05, what is the value of chi-square and the appropriate conclusion?

Answers

Answer:

Where's the table we can go off of??

Step-by-step explanation:

Answer:

2 = 11.2; fail to reject the null hypothesis

Step-by-step explanation:

This is the correct answer for the question I had on the segment exam. Please double-check because the conditions in your question because they might be slightly different and you may need a slightly different answer. Be careful about copying answers off of the internet and good luck!

I used the X^2GOT-Test, so you could check your answers too. For the expected occurrence 35/7 = 5.

HELP PLEASE ASAP. NO LINKS OR I WILL REPORT​

Answers

Answer:

For Question 19 the answer is A (the first answer)

For question 34 the answer is C (the third one) but for that I am not 100% you can search that one up

For question 20 the answer is A (the first answer)

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

1) y=9, therefore x=2y=2(9)=18

2) y=32/2=16, therefore x=y√3=16√3

I need help with this question please

Answers

The answer is 523.334

SOLVE

270.6 is 16 1/2% OF WHAT NUMBER?

WILL GIVE BRAINLIST




X
X
X
X
X
X
X

Answers

Answer:

165 po ang answer promise po

Answer:1640

To find the % then we have too times the 16 /12% by something right?

After some guessing their is my answer

Hope this helps :)

If you are reading this hope you have a wonderful day!

please help me I've been asking for this question for a while and I keep getting those spam messages please help me 15pts
How would you go about finding the confidence interval of say 90% or 95% for any given distribution scenario?​

Answers

Answer:

You'd want to divide.

Step-by-step explanation:

Let's say you got a 9/10 on a test.

You'd do 9 divided by 100 and multiply it by 10 to get 90%

That is how you solve a percentage problem

FORMAT IN LESS DETAILED EXPLANATION:

9/100x10=90%

Nine divided by one-hundred times ten equals ninety percent

The more experiments that are performed, the closer the experimental probability gets to the theoretical probability: true or false?

Answers

Answer:

True.

Explanation:

The more experiments that are performed, the more data can be collected.

Find the measure of major arc QPN.
M
0
coll
IN

Answers

Answer:

218°

Step-by-step explanation:

m(arc)QPN = m(arc)QPO + m(arc)NO

m(arc)QPN = 180° + 38°

m(arc)QPN = 218°

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