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

Which statement best describes a ratio

Answers

Answer: Where are the options?

Step-by-step explanation:

determine if the relation is a function
(-1, 5), (0,3), (2,3), (3, -1)

Answers

Answer:

This relation IS a function

Answer:

This is a function

Step-by-step explanation:

Down below none of them overlap

There is no two points in the lines.

what is the reciprocal of x^3 and a^2 ? please help!!!

Answers

Answer:

1/x^3 and 1/a^2

Step-by-step explanation:

1/x^3 and 1/a^2 the person above me is correct

Calculate Valume of cones and spheres

Answers

Answer:

v = 1808,64cm³

Step-by-step explanation:

big cone:

a = pi.r²

a = 3,14x12²

a = 452,16cm²

v = a.h/3

v = 452,16x12/3

v = 1808,64cm³ (that's a three)

you got the point, now you can do the others... kinda of

OBX Cart Rentals has created a website for customer access. They are trying to determine a reasonably secure number of available passwords. They have decided to allow upper case letters, lower case letters, digits (0 â 9), and the three special characters: $, ! ?. Find the number of possible 6 character passwords given each of the conditions (Note: you MUST simplify completely.)
a. The password must begin with a letter (either upper or lower case)
i. repetitions permitted
ii. repetitions not permitted
b. The password must begin with a letter and end with a special character ($, !, ?):
i. repetitions permitted
ii. repetitions not permitted

Answers

Answer:

A)

i) for repetitions

there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords

ii) for Non - repetitions

there will be : 52 * 64 * 63 * 62 * 61 * 60 =  47576954880

B)  

i) for repetitions

there will be : 52 * ( 65 )^4 * 3  =  2784697500

ii) for Non-repetitions

there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760

Step-by-step explanation:

Total Number of letters = 52

Number of upper case letters = 26

Number of lower case letters = 26

Number of digits ( 0 - 9 ) = 10

special characters = 3

password = 6 characters

Therefore the total number of choices = 52 + 3 + 10 = 65

A) The password must begin with a letter (either upper or lower case)

i) for repetitions

there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords

ii) for Non - repetitions

there will be : 52 * 64 * 63 * 62 * 61 * 60 =  47576954880

B)  The password must begin with a letter and end with a special character ($, !, ?):

i) for repetitions

there will be : 52 * ( 65 )^4 * 3  =  2784697500

ii) for Non-repetitions

there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760

The mixed number 1 7/8 can be expressed as 17/8 True False​

Answers

Answer:

False

Step-by-step explanation:

1 7/8 =15/8

Which statement best describes the relationship between inherited traits and genes

Answers

Where The Picture. ? Or Whole Problem

Answer:

options please

Step-by-step explanation:

Study the equation.
y = x2 - 4x - 77
Write the equation in graphing form (vertex form).

Answers

Answer:

y=(x-2)^2-81

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

For all real numbers x,if x is an integers then x is a rational number?
A.If a reak number is an integer then_
B.for all integerd x,_
C.If x _then _
D.All integers x are _

Answers

Answer:

c

Step-by-step explanation:

A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer:

The measure of the center angle is 0.6 radians

Step-by-step explanation:

Mathematically, the length of an arc can be calculated using;

L = theta/360 * 2 * pi * r

where theta is the central angle

In this case, theta = ? , pi = 22/7 and r is 13

cm, length of arc is 8 cm

So we have ;

8 = theta/360 * 2 * pi * 13

360 * 7 * 8 = theta * 2 * 22 * 13

20,160 = 572 theta

theta = 20,160/572

theta = 35.24

let us convert this to radian measure

Mathematically, 1 degree = 0.0175 radian

Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians

To the nearest tenth, this is 0.6 radians

What percentage of the guesst at this hotel called for room service yesterday?

Answers

Answer:

   

Step-by-step explanation:

I will mark Brainliest What is the length of AB

Answers

22

Since angles A and C are equal the side AB and AC are equal so;

5x-3 = 3x+ 7
2x = 10
X = 5

Sub 5 in for x in equation for AB

5(5) -3 = 25 -3 = 22

WHats 100000000000000 x 1000000000000000000000

Answers

Answer:

1e+35

Step-by-step explanation:

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.

A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?

Answers

Answer:

about 5.8cm

Step-by-step explanation:

The factors of a number are given below: 2, 4, 5, 8, 10, 16, 20, 40. What is the number?

Answers

Answer:

the answer would be 80 because it is divisible with all the numbers shown above

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?

Answers

Complete Question

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)

A 0.8531

B 0.1468

C 0.9332

D 0.0668

Answer:

The correct option is  A

Step-by-step explanation:

Generally from the z table  the area under the normal curve to the left corresponding to  1.05 is

     [tex]P(Z < 1.05) = 0.8531[/tex]

PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?

Answers

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm is the amount of precipitation recorded at the beginning of the tracking or when the tracking started.

✍️The y-intercept of the graph of Monday's storm is 0 mm, when time = 0 min.

✅The y-intercept of the graph of Thursday's storm also has the same meaning as that of Monday's storm.

✍️The y-intercept of the graph of Thursday's storm is 0 mm, when time = 0 min.

George buys 1.5 pounds of apples, 2.7 pounds of
oranges, and 1.9 pounds of grapes. How much
change does he get from a $10 bill?

Answers

Answer:

aaaaaaaaaaaaaa2rdfdggggdfgdgv

Step-by-step explanation:

Suppose the owner of a local apple orchard has 4 half-bushels of apples to sell. He loads them on his truck, and drives his route, stopping at stores along the way attempting to sells the apples. Suppose:

- Each half-bushel is sold for $40.

- It will cost $15 of gas to drive the route.

Historically, the orchard owner knows he will have a 40% chance of making no sales, a 30% chance of selling 1 half-bushel, a 10% chance of selling 2 half-bushels, and a 10% chance of selling 3 half-bushels.

(a) Calculate the orchard owner’s expected profit from driving the route.

(b) Calculate the standard deviation of the profit from driving the route.

Answers

Answer:

a) The orchard owner's expected profit from driving the route is $33.

b) The standard deviation of the profit is $27.28

Step-by-step explanation:

a) Data and Calculations:

Apples to sell = 4 half-bushels

Price of each half-bushel sold = $40

Sales revenue = $160 ($40 *4)

Cost of driving the route = $15

Expected values:

Event                          Probability  Revenue       Profit         Expected  Profit

No Sales                        40%            $0         ($15) ($0 - $15)        ($6.00)

Selling 1 half-bushel      30%         $40         $25 ($40 - $15)         $7.50

Selling 2 half-bushels   10%          $80         $65 ($80 - $15)        $6.50

Selling 3 half-bushels   10%         $120       $105 ($120 - $15)     $10.50

Selling 4 half-bushels   10%         $160       $145 ($160 - $15)     $14.50

Total expected profit = $33

Event                          Expected  Profit  Mean        Squared

                                                                       Difference

No Sales                            ($6.00)        -39             1,521

Selling 1 half-bushel           $7.50         -25.5           650.25

Selling 2 half-bushels        $6.50         -26.5           702.25

Selling 3 half-bushels      $10.50         -22.50         506.25

Selling 4 half-bushels      $14.50         -18.50          342.25

Sum of squared differences                                     3,722

Mean of squared differences = 744.4 (3,722/5)

Standard deviation = square root of the mean

= 27.28

= $27.28

Find the midpoint of the segment with the following endpoints.
(9, 1) and (5, -7)

Answers

Answer:

7;-3

Step-by-step explanation:

9+5/2 ; 1+(-7)/2

14/2 ; -6/2

7 ; -3

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

the line goes through the points (1,2),(5,3) and (9,4)

so the rise is 1
the run is 4

so the slope (aka rise over run) is 1/4x

identify the variables in 3a+7b(c-8)

Answers

A b and c are your variables
Hope this helps

The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.
​(a) compute the​ z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
​(b) determine the quartiles.
​(c) compute and interpret the interquartile​ range, iqr.
​(d) determine the lower and upper fences. are there any​outliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the​ z-score corresponding to the individual is
and indicates that the data value is
standard​ deviation(s) the
the table is for the entire problem.

Answers

Answer:

A.) - 0.2992

B.) Q1 = 36.75

Q2 = 38.45

Q3 = 41

C.) IQR = 4.25

D.) LOWER FENCE = 30.375

UPPER FENCE = 47.375

Yes, 49.3

Step-by-step explanation:

Given the data:

Arranged data in ascending order :

31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3

Using calculator to save computation time :

Population mean (μ) = 38.88

Standard deviation (s) = 3.61

A.) The zscore for individual who obtained 37.8 miles per gallon :

Standardized score formula :

Z = (Score(x) - mean) / standard deviation

Z = (37.8 - 38.88) / 3.61

Z = - 1.08 / 3.61

Z = - 0.29916

Z = - 0.2992

B) The quartile ;

Lower quartile (Q1) :

1/4(n +1)th term

n = sample size = 24

1/4(24 + 1)

= 1/4(25) = 6.25th term

(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75

Upper quartile (Q3) :

3/4(24 +1) = 3/4(25) = 18.75th term

(18th + 19th) = (40.6 + 41.4) = 82/2 = 41

Median (Q2) :

1/2(24 +1) = 1/2(25) = 12.50th term

(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45

C.) interquartile range :

Q3 - Q1 = (41 - 36.75) = 4.25

D.) OUTLIER

LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375

UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375

Mr. Chavez has assets of $250,000 and liabilities of $18,000. He decides to finance the entire amount of the purchase of a car valued at $26,000. Which of the following is true? a. Mr. Chavez increased his assets. b. Mr. Chavez increased his net worth. c. Mr. Chavez increased both his assets and net worth. d. Mr. Chavez did not increase his assets or his net worth. Please select the best answer from the choices provided A B C D

Answers

Answer:

C.

Step-by-step explanation:

Answer: C. Mr Chavez increased both his assets and net worth

Step-by-step explanation: edgenu 2021

Find the value of x.
930
45°
X=
help please

Answers

Answer:

45 Degrees

Step-by-step explanation:

Compare to its other side

180°-138°=42°
Hope this helps

PLEAD HELP ME FAST!!!!

Answers

Answer:

i can't really see to clear ..

Step-by-step explanation:

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

Answers

Answer:

a) 9676.1053731 rad/min

b) 1540 rpm

Step-by-step explanation:

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

truck with 30-in.-diameter wheels is traveling at 70 mi/h.

---------

1 mile per hour = 88 feet per minute

70 mi/hr = 6160ft/minute

----------

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

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

Each revolution = pi*d feet = 4pi feet

rpm = 6160 ft/min / 4pi feet = 990/pi rpm

=~ 1540 rpm

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

(a) Find the angular speed of the wheels in rad/min.

rad/min

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

rad/min = rpm*2*pi

= 1540 rpm × 2× π

= 9676.1053731 rad/min

Hiiii I really need helppppp pls pls

Answers

Step-by-step explanation:

sas

side angle side

mark me as brainliest

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