Assume that last year in a particular state with 700000 children there were 1205 children out of 32600 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally

Answers

Answer 1

Answer:

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Step-by-step explanation:

The population follows a binomial distribution, and the fact that

p₀ = 1205/32600 = 0,03696       and then q₀  = 1-0,03696 = 0,9630

And both

p₀*n = 0,03696*32600 = 1205 > 10

q₀*n = 31395 > 10

The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.

Therefore:

Hypothesis Test                    H₀    ⇒    p₀ = p

Alternative Hypothesis        Hₐ   ⇒     p₀ > p

p is the population proportion mean

p = 1/88  =  0,011

We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %

CI = 95 %     α = 5 %    α = 0,05    

Critical value for 0,05  is from z-table  z(c) = 1,64

We compute z(s)

z(s) =( p₀ - p )/ √ p₀*q₀/n

z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600

z(s) =  0,02596* 180,55/ √ 0,0356

z(s) = 4,687 / 0,189

z(s) = 24,9

Comparing  z(s) and z(c)   24,9 > 1, 64

z(s) is out of the acceptance region and we have to reject H₀

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally


Related Questions

Niall bought 234 inches of nylon cord for rock climbing. There are 36 inches in 1 yard. How many yards of cord did Niall buy?

Answers

Answer:

6.5 yards of cord were bought

Step-by-step explanation:

234/36=6.5

What is the slope of the given table?
-2
-4
1/2
2

Answers

(-4, 7), (-2,3)
(y2-y1)/(x2-x1)
(3-7)/(-2+4) = -4/2 = -2
The slope is -2

Simplify the following expression: -4(k - 7)

Answers

Answer:

-4k+28

Step-by-step explanation:

Answer:

-4k+28

Step-by-step explanation:

multiply -4k inside the parentheses

-4k x k

-4 x 7

= -4k+28

Which set of number includes only intergers

Answers

D because it doesn’t contain any fractions or decimals. Only negative and positive whole numbers

Answer:

{-10, -7, 0, 98, 145}

Step-by-step explanation:

An integer is whole numbers and their opposites, doesn't have to be written as a fraction.

{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.

What happens when a barrel goes over the waterfall?

a. The barrel speed stays the same

b. The barrel slows down.

c. The barrel speeds up.

d. The barrel stops


PLEASE SEND HELP!! I NEED THE ANSWER.......QUICK!!! WILL GIVE THE BRAINLEST!

Answers

I think it c because it will go down faster because of gravity

Which expression has a value different from the others?
A. -108 + 105
B. 9.9 + (12.9)
C. -7 2/9 - ( -4 2/9)
D. 637 - 641

Answers

Answer:

I think B

Step-by-step explanation:

A. -108+105

-3

B. 9.9+(12.9)

22.8

C. -7 2/9 -(-4 2/9)

-3

D. 637 - 641

-4

Is the last one written wrong because if that one is 637-640 or 638-641 than it would equal -3. Then the answer would be B.

need help with this problem it’s math so if you know math come on in

Answers

Answer:

The line is super close to 15 or 20. So one of those for sure

Step-by-step explanation:

Answer: its got to be 15 because the line isn't on 20

Step-by-step explanation:

y + 2 = -3(x - 4). What is the slope?

Answers

Answer:

m=-3

Step-by-step explanation:

Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi

Answers

Answer:

P(x=4) = 0.4

Step-by-step explanation:

The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.

f(x)= 1/ b-a          a≤ x≤ b

Here a = 0 and b= 10  but we want to know the probability of wait time between 4 minutes and 10 minutes

P (X=x) = (x-a) 1/(b-a)

P(x=4) = (4-0) 1/ 10-0

          = 4/10= 0.4

heeeeeeeeeeeeeelp
Please help!​

Answers

Answer:x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since it's a equilateral triangle, all sides are equal

So you can do the equation 3x - 1 = 11

You then add 1 on both sides, leaving the equation as 3x = 12

You divide both sides by 3, which leaves you with x = 4

4/5 divided by 3/4 brtdegthyrewadetywwraejrydtse

Answers

Answer:

4/5 ÷ 3/4 = 1 1/15

Step-by-step explanation:

Answer:

1 11/20

Step-by-step explanation:

4

5

+

3

4

=  

4 × 4

5 × 4

+

3 × 5

4 × 5

=  

16

20

+

15

20

=  

16 + 15

20

=  

31

20

=  

1 11

20

PLEASE I WILL GIVE YOU POINTS!

Answers

Answer:

None

Step-by-step explanation:

y=(2x)^(1/3)-7    wrong

y= -2(3x)^(1/6) wrong

y=-x^(1/2)+5 wrong

y=(x+2)^(1/4) wrong

Someone help plzzzzz

Answers

Answer:

for the first box the answer is 4x but I dont know the y intercept

Step-by-step explanation:

get 2 points the do y2-y1/x2-x1 then you get your x

Iron makes up 4.5% of the Earth's crust. Which is another way to write 4.5% of a value?

Answers

Answer:

0.045 or 9/2

Step-by-step explanation:

Evaluate and solve for the variable

7=5b

Answers

B would equal 1 and 2/5

Jeremy wants to give a 20% gratuity to his cab driver. His fare is $35.50. What is the total amount he will pay the driver?

Answers

Answer:

$42.60.

Step-by-step explanation:

You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. What is the probability that a randomly selected student studies for a test and gets a B or higher?

0.08
0.11
0.33
0.55

Answers

Answer:

.33

Step-by-step explanation:

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Answers

Answer:

B

Step-by-step explanation:

You can tell by looking at the graph that the x coordinate is 4, and the only option with an x coordinate of 4 is B

Please help me out quickly

Answers

Answer:

I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me

Step-by-step explanation:

[tex]2s+5\geq 49[/tex]

Answers

Answer:

s≥22

Step-by-step explanation:

49-5

2s≥44

divide both sides of the inequality by 2

so 2s≥44 then turn into s≥22

Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?

Answers

Answer:  20/3 * $10.50 = &73.5

.

HOPE THIS HELPS TOUCH THANKS PLEASE

Step-by-step explanation:

Answer:

73.5$

Step-by-step explanation:

21/7=3 so 10.50*7 will give the budget

A video game system and several games are sold for $580. The cost of the games is 3 times as much is a cost of the system. Find the cost of the system and the cost of the games. 

Answers

Answer:

The game system is 145, and the games cost 435.

Step-by-step explanation:

4x = 580

580/4=145

145x3=435 which is the cost of the games.

145 is the cost of the game system.

Paula ran 3 1/4 kilometers. Omar ran 4,200 meters. What is the total number of centimeters Omar and Paula ran?

Answers

Answer:

325000 + 420000 = 745000

Step-by-step explanation:

They ran 745000 centimeters all together

Parker grew
2 1/2 inches each year for the past 3 years. How many inches total has Parker grown in the past 3
years?

Answers

Answer:

it will be 7 and 1/2

Step-by-step explanation:

2 and 1/2 x 3=7 and 1/2

at a pet store at the mall there are 21 dogs, 13 cats, 12 rabbits, 5 hamsters, and 3 ferrets. What percent of the animals mare rabbits

Answers

Answer:

28.57%

Step-by-step explanation

I added all the animals together and got the precentage of rabbits

Hopefully its right :)

A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches. How far are the two cities in real life?

Answers

Answer:

56 miles

Step-by-step explanation:

Match each equation to the situation it represents
1st one says Leilah
2nd one says Stetson​

Answers

Answer:

leiah has not yet studied......          =    2400 - 40x = 600

stetson rests studios spaces......   =    40x - 600 = 2400

a kit contains....                               =.    (600 + 40) x = 2400

Step-by-step explanation:

that might make it a bit easier

Simplify:

3(8) 0 • (3) –2

Answers

Answer:

-2

Step-by-step explanation:

!&÷×\÷\*÷*=*=*3*÷*÷*÷8÷*8

The simplification of the given expression is -2.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We are given the expression as;

3(8) 0 • (3) –2

We need to simiplify this expression;

3(8) 0 • (3) –2

24(0) . 3 - 2

0-2

-2

Therefore, the simplification of the given expression is -2.

Learn more about expression here;

https://brainly.com/question/14083225

#SPJ2

Can you help me please

Answers

Answer:

f(-4)=3(4)^2-5(4)

16*3-20

48-20

f(-4)=28

A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?

Answers

Answer:

The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

Step-by-step explanation:

Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:

70 x 1 + 25 x 0 = 70

70 x 0.9 + 25 x 0.1 = 65.5

70 x 0.8 + 25 x 0.2 = 61

70 x 0.7 + 25 x 0.3 = 56.5

Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.

70 x 0.75 + 25 x 0.25 = 58.75

70 x 0.76 + 25 x 0.24 = 59.2

70 x 0.77 + 25 x 0.23 = 59.65

70 x 0.78 + 25 x 0.22 = 60.1

Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.

70 x 0.778 + 25 x 0.222 = 60.01

Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

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