In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Find the proportion of ASD in Arizona with a confidence level of 99%.

Answers

Answer 1

Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

[tex]x=507\\n=32601\\\text{Confidence level }=99\%[/tex]

The sample proportion is:

[tex]\hat p=\frac{x}{n}=\frac{507}{32601}=0.016[/tex]

The critical value of z for 99% confidence level is, z = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

    [tex]=0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)[/tex]

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).


Related Questions

what is 3/4 + 1/2 and what is 1/3 + 11/48 in simplest form and a mixed number

Answers

Answer:

1) 5/4 or 1 1/4

2) 9/16

Step-by-step explanation:

3/4+1/2: you multiply 1/2 by 2 to get a common denominator then get 2/4, 3+2=5, 5/4 or 1 1/4

1/3+11/48: you multiply 1/3 by 16 to get common denominator & get 16/48, 16+11= 27/48, divide by 3 & get simplest form of 9/16

Answer:

3/4+1/2= 1 5/8  and 1/3+11/48 is not a mixed number 9/16

Step-by-step explanation:

what is x-(3)/(5)=(5x)/(6)? with steps answer fast

Answers

hi

x- 3/5 =  5x/ 6  

6x - 18/5 =  5x

6x -5x =  18/5

     x = 18/5

   

let's check :      18/5 - 3/5 =  15/5 = 3

                         5 * 18/5   / 6  =    18/6 = 3

result is correct.

21-7y+3x-xy solve by factoring by grouping

Answers

Answer:

-(y-3)(x+7)

Step-by-step explanation:

Which operation should be performed on both sides of this equation to solve for x?
x+4=6


add 4

add the opposite of 4

multiply by the reciprocal of 4
multiply by the opposite reciprocal of 4

Answers

6+2=8 just trying to get points

When two data sets are compared, what characteristics will give the most accurate prediction? Explain.

Answers

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

correct on edge

NEED HELP PLEASE!!!!

Answers

Answer:x=35

Step-by-step explanation:

Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)


x − y + 8z = 8

3x − 9y + z = −1

8x + y = 0

Answers

Answer:

Step-by-step explanation:

To create an augmented matrix, we need to transfer the coefficients of each system of equations into its respective place in the matrix. The first row will be the coefficients of the first equation and so on. The number to the right of the equals sign is the last column of the augmented matrix.

[tex]\left[\begin{array}{ccc|c}1&-1&8&8\\3&-9&1&-1\\8&1&0&0\end{array}\right][/tex]

Y=-5x+2 fill in the table using this function rule

Answers

X Y

-6 4

-3 1

0 6

3 -9

That’s the real answer

The required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

Since we are not given the x - values, let the x values be -6, -3, 0 and 3

Given the function of y with respect to x;

y = -5x + 2

We need to get all the y-values for the given values of x as shown;

If x  = -6

y = -5 (-6) + 2

y = 30 + 2

y = 32

If x  = -3

y = -5 (-3) + 2

y = 15 + 2

y = 17

If x  = 0

y = -5 (0) + 2

y = 0 + 2

y = 2

If x  = 3

y = -5 (3) + 2

y = -15 + 2

y = -13

Hence the required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

Learn more here: https://brainly.com/question/15011804

The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700 students in 2015, then which of the following models the population n years from 2015?

Answers

To show a constant increasing rate, multiply the number by 1.02.
2700x1.02=2754
2754 students in 2016
2754x1.02=2809 students in 2017
2809x1.02=2865 students in 2018
2865x1.02=2922 in 2019
2922x1.02=2981 in 2020

Stuck on this last question​

Answers

Answer:

C.

because both of those decimals can be turned into fractions.

Step-by-step explanation:

Hope this helps and have a great day :)

Answer:

C

Step-by-step explanation:

.752 is a rational number and .232323... is a non-terminating repeating number, which is also rational

I need help with this question.

Answers

Answer: W=V/lh

Step-by-step explanation:

You know that the formula to find the volume is length * width* height.

So l*w*h=V

divide lh on both sides, and you get

W=V/lh, The top right answer

Find the least common multiple of 7,9 and 21

Answers

Free LCM Calculator determines the least common multiple (LCM) between 9 and 21 the smallest integer that is 63 that is divisible by both numbers. Least Common Multiple (LCM) of 9 and 21 is 63.
...
Prime Factorization of 21.
3 21
7 7
1

1. Petra works as a delivery person for a restaurant. The graph shows a linear model for her
delivery times on different days.
Petra's Deliveries
Delivery time (min)

Time (days)
(a) Label the two points on the graph. (Hint: ( D]
(b) What is the slope of the line? Show your work.
(c) Write the equation of the line in point slope form? Show your work.

Answers

Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Answer:

The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Step-by-step explanation:

(GIVING BRAINLIEST AND EXTRA POINTS!!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK.

6/10 - 1/5 + 1/4

Answers

Answer:0.65

Step-by-step explanation:

Firstly, we convert the fractions into decimals:

6/10=0.6

1/5=0.2

1/4=0.25

We then get :  0.6 - 0.2 + 0.25

0.6-0.2=0.4

0.4+0.25=0.65

Which of the following values are solutions to the inequality 1 + 5x < 4?

Answers

Step-by-step explanation:

you cant add 1 to 5x, so subtract 1 on both sides leaving you with 1 + 5x < 4 that equals 5x < 3 -1 -1

then divide 5 from both sides 5x < 3 This leaves 5 5

you with x < 3/5

Martin is interested in joining a gym and has researched the cost of two gyms close to his
house Gym A has a $50 registration fee and costs $30 per month. Gym B has a $100
registration fee and costs $10 per month. The cost of joining each gym can be modeled by the
expressions below, where m represents the number of months.
• Gym A: 30m + 50
• Gym B: 10m + 100

Answers

Answer:

I suppose that you want to find which gym will be cheaper for you.

We have two equations:

• Gym A: 30m + 50

• Gym B: 10m + 100

First, let's find the value of m such that both gyms cost exactly the same:

30*m + 50 = 10*m + 100

Let's solve this for m

30*m - 10*m = 100 - 50

20*m = 50

m = 50/20 = 2.5

now:

for m < 2.5, Gym A will be cheaper, because the y-intercept is smaller.

for m > 2.5, Gym B will be cheaper, because the slope is smaller,

Then depending on the number of months that Martin wants to go to the gym, he can se the info above to pick the one that is cheaper.

Peter wants to plot the point (-2, 3) on a coordinate plane. Which statement best describes how to plot this point starting from the origin?

Answers

Answer:

From the origin, go left 2 then up 3

Step-by-step explanation:

negative x value means move left, positive y value means move up

Answer:

go left 2 and go up 3

Little note:

Hope this helps

(x-8)(2x+5)=0 solve the equation

Answers

Answer:

x=8

Step-by-step explanation:

x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8

Hope this helps and have a great day :)

Find the mean monthly subscription fee? Round your answer to the nearest cent.
$8.78
$6.78
$5.78

Answers

Answer:

$6.78

Step-by-step explanation:

Add $10 +$6 +$2.75+$3+$5+$10+$10+$4+$12+$5 =$67.75

Now divide $67.75 by 10 which is the number of values you added up

$67.75/ 10 = 6.775

Now round to nearest cent = $6.78

The answer is $6.78 !

X+4
What is the solution of
2x-1
*** <0
?
-4 04s x51/
0
45x< 1 / 1
4 O <
.

Answers

Step-by-step explanation:

can you snap a picture for this question bcs i cant understand the question

yoo someone help me with this im at school right now and its due in like 10 mins !

Answers

This should be the right answer 3a+2(3)=24 a=6

Please help!
Nika baked three loaves of zucchini bread. Each loaf needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used? 4 + 4 + 4 = 12 5 + 5 + 5 = 15 4 + 4 + 4 = 16 17 + 17 + 17 = 51

Answers

Answer:

4+4+4=12

Step-by-step explanation:

Each cake needs  cups of flour. Therefore, the best estimate of the number of cups of flour that Nika used to make the three loaves is:

4 + 4 + 4 = 12

Answer:

Step-by-step explanation:

Nika baked three loaves of zucchini bread.

Each bread needed 17/4

17/4 simplified as a decimal is 4.25 or as a fraction 4/25

Answer 3

4 + 4 + 4 = 16

Why? Because 4/25 is NOT gonna be a whole number.

25/25 = 1.

So, saying that I picked the 3rd answer because 16 is closer to 25.

16 is over 4 so we have to look at the next place value. And 51 is more than 25.

Is the equation a linear function or nonlinear function?
y = 0.5x – 1

Answers

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 0.5x - 1

Step 2: Compare

y = mx + b

y = 0.5x - 1

m = 0.5

b = -1

The equation is a linear function. It's proportional.

Talbot Family has a monthly income of $3,200. They spend $800 on rent what percentage of the Talbot family is spent of rent?

Answers

Answer:

800/3200= .25 or 25%

you must divide the rent by the monthly income.

whats 4/5 of 3/4 and whats 2/3 of 1/4

Answers

Answer:

4/5 of 3/4 = 3/5

2/3 of 1/4 = 1/6

Step-by-step explanation:

That doesn’t really make sense

A group of 10 friends are in line to see a movie. It cost $15 for 3 people to see a movie. How much will the group pay?​

Answers

Answer:

50

Step-by-step explanation:

15/3=5

5*10=50

Answer:

So if it costs 15$ for 3 just multiply that by 3 (which equals the amount it’d cost for 9 people, which is 45$). And then divide 15 by 3 which is 5$ or the amount it’d cost for one person to see a movie. 45+5=50$. So the group will pay 50$.

Someone please help thank you

Answers

Okay so basically
Step by step

The sum of two numbers is 60 and the difference is 6. What are the numbers?

Answers

Answer:

33 and 27

Step-by-step explanation:

60 ÷ 2 is 30

33 is 6 more than 27

HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?

Answers

Answer:

11

Step-by-step explanation:

Solve 3x2 + 4x = 2. (2 points)

Answers

Answer:

The answer is (-2±√10)/3

Step-by-step explanation:

so if it is 3x^2+4x=2 then

set one side to zero

subtract 2 from both sides

3x^2+4x-2=0

this is not factorable by normal means so use quadratic formula which is if you have the equation in ax^2+bx+c=0 form you can solve for x if you put it into this equation quadratic formula  so if you were to input it into this equation you would get

a=3

b=4

c=-2

the solution is: (-2±√10)/3

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