. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)

Answers

Answer 1

Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)

Using the relation :

[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]

Sample size, n = 40467

Sample proportion, p = 3156/40467 = 0.078

Zcrit at 95% = 1.96

Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex]

Margin of Error = 0.0026128

Lower boundary = 0.078 - 0.0026128 = 0.075

Upper boundary = 0.078 + 0.0026128 = 0.081

Hence, the confidence interval is (0.075; 0.081)

Learn more :


Related Questions

mean: 7.3
median: 7.1
standard deviation: 1.1
Q1: 6.8
Q3: 7.4
when a tenth time is added to the list, the standard deviation increases to 1.5. is the tenth time likely an outlier

Answers

Answer:

Yes it is an outlier

Step-by-step explanation:

Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.

Answers

Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.

Step-by-step explanation:

had this question

The ratio of roses to tulips is 2:3. What percent of the flowers are roses?

Answers

Answer:

  40%

Step-by-step explanation:

Roses are 2/(2+3) = 2/5 = 2/5×100% = 40% of the total.

Sheila predicted that the Doja cat concert would have 310 people attend. Only 220 attended. Find the percent Error Show your work

Answers

Answer: 29%

Step-by-step explanation: 220 out of 310 attended. This mean the error percentage is 90/310. Dividing 90 by 310, we get the answer of around 29%.

Would appreciate brainly <3

Which product is greater than 63?

7/8 x63
3/2 x 63
4/5 x 63
2/3 x 63

Answers

Answer:

The answer is 3/2 x 63

Step-by-step explanation:

3/2*63 = 189 / 2 = 94.5

7/8*63 = 441 / 8 = 55.125

2/3*63 = 126 / 3 = 42

4/5*63 = 252 / 5 = 50.4

Therefore the answer is 3/2 x 63 because it’s product is greater than 63.

What is hypothesis and axioms?​

Answers

Answer:

Hypothesis-  scientific prediction that can be tested or verified

Axioms- statement which is assumed to be true

Step-by-step explanation:

GUYS I NEED HELP PLZZZ ILL GIVE BRAINLIEST!

Deondra has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12?

Answers

No equation really.

I guess she could just by 2 lb green grapes and 3 lb red grapes.

Maybe because I didn't understand the question completely.

Butiki po ang sagot dito hehehhee sorry need points aahahaha

BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.

Answers

Answer:

See below for answer.

Step-by-step explanation:

BA ≅ BC                         Given

DA  ≅ EC                       Given

BA + DA ≅ BC + EC      Congruent  parts are congruent

BD ≅ BE                        Addition

Find the perimeter. Simplify your answer.

Answers

Answer:

10u-16

Step-by-step explanation:

Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:

2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16

Answer:

10u - 16

Step-by-step explanation:

Perimeter = 5u - 10 + 5u - 10 + 2 + 2

= 10u - 16...ans

Hope it Helps you!!

pls help i was to turn this by tomorrow

Answers

Answer:

a d

Step-by-step explanation:

The mean age of 5 people in a room is 39 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?

Answers

Answer:

21

Step-by-step explanation:

Mean is the average of the objects

With five people, the mean is the average age of these people so what did you divide 5 into to get 39.

5 × 39 = 195

After a person enter the room, total 6 in the room with a mean of 36.

6 × 36 = 216

Now the age of the person who entered the room  216 - 195 = 21

2. At a rate of 50 mph, a car travels a distance
of 600 miles. How far will the car travel at
a rate of 40 mph if it is driven the same
amount of time?

Answers

Answer: 480 miles

Step-by-step explanation:

first you divide 600 by 50 and thats the amount of hours.

600 / 50 = 12

then multiply 40 x 12 and you got your answer. :)

40 x 12 = 480 therefore your answer is 480

Pls help me with this question

Answers

Answer:

were is the qn?

Step-by-step explanation:

Simplify the expression -3/(-2/5)

Answers

-3/(-2/5) = -3 * (5/-2)=15/2=7.5

Answer:

im new but im pretty sure its 7.5

Step-by-step explanation:

To solve this expression, we can use PEMDAS or order of operations. Parenthesis. Exponents.

parallel perpendicular or neither

Answers

Answer:

parallel

Step-by-step explanation:

4-2/-9-0= 2/-9

6-8/4+5= -2/9


Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).

Answers

Step-by-step explanation:

a general line equation is

y = ax + b

the slope of a line is always the factor of x (a).

it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here it is -5/4.

it says, when x changes by +4, then y changes by -5.

a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.

and we get it by using the point coordinates in the equation and then solve for b :

1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b

b = -4

so, the full equation of the parallel line is

y = -5/4x - 4

3 - k - 5k =3
i need help on this asap

Answers

Hello there!

3-k-5k=3

Combine like terms:

3-6k=3

-6k=3-3

-6k=0

k=0

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

k = 0

Step - By - Step:

1. 3 - k - 5k = 3

3 - 6k =3

2. rearrange terms:

3 - 6k = 3

-6k + 3 = 3

3. Subtract  3 from both sides of the equation:

-6k_3=3

-6k+3-3=3-3

4. simplify:

-6k + 3 - 3 = 3 - 3

-6k = 3 - 3

-6k = 0

5. divide both sides of the equation by the same term:

-6k = 0

-6k/-6 = 0/-6

6. simplify:

k = 0/-6

cuantos segundos tiene una hora

Answers

Answer:

3600

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

verificando :)

Find the perimeter. Simplify your answer.

Answers

Step-by-step explanation:

perimeter =

2(L+B)

=2× (7z+3 +3z+5)

2×10z +8

=20z+16

Please help !!!!!!
Carl is looking for tickets to a concert. Last week he found them for $35.00 each ticket. This week the price is $54.00 for each ticket. Did the price increase or decrease? What was the percent change in price? (Show all of your work)

Answers

Answer:

See Below

Step-by-step explanation:

Lets note some facts,

Last weeks price for tickets: $35

This weeks price: $54

If you were to ask if these numbers increased or decreased, the numbers increased.

It increased by 19%, for as 19 dollars.

Hope this helps!

The width of a rectangle measures (7f-4)(7f−4) centimeters, and its length measures (2f+5)(2f+5) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

Perimeter is 18f+2

Step-by-step explanation:

Given : rectangle having width (7f-4) and length (2f+5)

To Find : Expression For Perimeter = ?

Solution : We know that, perimeter  of rectangle is 2(L+B)

-> 2(7f-4+2f+5)

-> 2(9f+1)

-> 18f + 2

I hope this helps.

I just need answers ;-;

Answers

Answer:

1. 5⁴

2. d¹⁰

3. w⁶

find the gradient and y- intercept of the line with equation 2x+3y-7=0

Answers

Answer:

Gradient = -2/3

y-intercept = 7/3

Step-by-step explanation:

Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept

2x + 3y = 7

3y = -2x + 7

y = -2/3x + 7/3

Write 0.00000506 in scientific notation.

Answers

Answer:

5.06*10 to the power of -6

Step-by-step explanation:

you need the number to be in between one and 10 so 5.06 is where the decimal should be and the exponent is negative because when you want to put it back to the rational number you go 6 decimal places to the LEFT

wouldn’t it be 5.06*6 ?? Sorry if I’m wrong slick forgot how to do this but If I REMBER correctly this should be the answer again sorry if not

Given trapezoid​ WXYZ, what is​ XY?

Answers

Step-by-step explanation:

X is the mulplied

Y is the pronouns

which product is greater (-4) x (-6) or (-7) x (-8) explain how

Answers

Answer:

(-7) × (-8)

Step-by-step explanation:

(-4) × (-6) = 24

(-6) × (-7) = 42

4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?

Answers

Answer:

61 miles

does this help??

Step-by-step explanation:

Find the length of side x to the nearest tenth.
309
X
60°

Answers

X = 1/cos(30)
X = 1.154700538
X = 1.2 (nearest tenth)

7.5t= 45 Solve this.

Answers

Answer:

t = 337.5

Step-by-step explanation:

(7.5) * 7.5t = 45 * (7.5)

t = 337.5

Just some simple algebra, please mark me brainliest!

write a funny statement

Answers

Answer:

haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Other Questions
What is an equation of the line that passes through the point (8,1) and is parallel to the line x-4y=4x Epidemics like smallpox often spread rapidly and wiped out entire native tribes. Why werent these diseases as fatal for the Spanish?A. The Spanish had vaccinations that made them completely immune to these diseases.B. The Spanish sent infected men back to Spain to contain the disease from spreading.C. The Spanish had doctors whose cures were more effective than native medicine men.D. The Spanish had developed antibodies over time that helped them resist these diseases.E. The Spanish avoided all contact with the villages that were infected by these diseases. Complete the following sentences with appropriate adverbs.1. Ellos hablan_______2. Mis padres vienen a verme_3. Jaime llega___4. El muchacho me habla____5. Tengo___ diez dlares.6. Los muchachos bailan_____7._____no tengo dinero.8. Compro ese champ______para la caspa.9. Carlos conduce_____10. Ramn juega al tenis_____ when fatty acid metabolism creates more acetyl-coa than can be handled in the citric acid cycle, the excess acetyl-coa is converted into ________. What was different about the molecules you needed to make protein 3 compared to the molecules you used to make protein 2? if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why which one is true and why make v the subject of the formula t=4v+3 Assume that a cross is made between tall and dwarf tobacco plants. The F1 generation showed intermediate height, whereas the F2 generation showed a distribution of height ranging from tall to dwarf, like the original parents, and many heights between the extremes. These data are consistent with _____________ inheritance India instituted the "one child policy," program that included incentives and penalties to assure that a couple only produced one child What were South Carolinas stated reasons for seceding from the United States in December, 1860? Do you believe that the stated reasons were the complete explanation for South Carolinas secession? Was South Carolina justified in seceding? Explain your answer in a well-organized essay of at least 4 paragraphs that demonstrates your understanding of the documents and your knowledge of the time period. Riddle! I man who can't talk takes his dog to the dog park without his collar or leash. His dog runs to the other dogs to play. When the man goes to get his dog, he finds it with 8 other dogs VERY identical. how does he get his dog to come with him? Good luck Unit 8: Rosldent Care Skills: Sample Items1. A partial bath would include bathing the following body areas:Face, hands underarms and genital areab. Face, neck, chest and armsFace, feet and legsd. Hands, feet, chest and backC. How do atoms join together? find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100 9/12 as an equivelant fraction How do I get a guy that likes me to ask me out quickly?We've been talking for a month!WILL GIVE BRANLIEST!!! I PROMISE!!! Read the excerpt from "Demon's Run."Here is the truth, she said. Your fathers work making household repairs for the townspeople has fed us til now, but hes gone. Laundering clothes brings in a bit, but not enough. Were all strong and hard workers with a lot of stamina, so I think we could farm if we had some land. And theres land in Oklahoma.We have nothing to lose, said Margaret, who was sixteen, and like her mother, she was both practical and brave. Her brother, Benjamin, fourteen, and her sister, Lizzie, eleven, agreed.So the family began preparing for the journey. Lily worked day and night doing laundry and was able to make a bit more than the family needed to buy food.Which sentence is an example of indirect characterization?like her mother, she was both practical and braveWere all strong and hard workers with a lot of stamina,Lily worked day and night doing laundrySo the family began preparing for the journey. How might a free African American view the same event? Gwendolen. How absurd to talk of the equality of the sexes! Where questions of self-sacrifice are concerned, men are infinitely beyond us.Jack. We are. (Clasps hands with Algernon.]Cecily. They have moments of physical courage of which we women know absolutely nothing.What is Wilde satirizing in his remarks about men's sacrifices?How men experience far worse pain than women understand.How women go through the pain of childbirth and men do notHow women experience less pain because they are physically weakerHow men suffer much more physically than women