An organization published an article stating that in any one-year period, approximately 10.3 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, eight of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.

Answers

Answer 1

Answer:

We accept H₀ we don´t have enough evidence to support that the proportion of certain town differs from that of National Information

Step-by-step explanation:

National Information:

p = 10,3 %      p = 0,103

Sample

Sample size    n₁  = 100

x₁  = 8

p₁  = x₁/100         p₁  = 8 / 100     p₁ = 0,08 %  

q₁  =  1 - p₁       q₁  = 1  - 0,08      q₁  = 0,92

Confidence Interval  CI = 95 %   significance level  α  = 5 %   α = 0,05

z(c) for α = 0,05  from z-table is  : 1,64

Test Hypothesis:

Null Hypothesis                                       H₀       p₁  = p

Alternative Hypothesis                           Hₐ       p₁ <  p

The alternative hypothesis suggest a one tail test to the left

z(s)  =  (  p₁  - p ) √p₁*q₁ / n₁

z(s)  = ( 0,08 - 0,103 )/√ 0,08*0,92/100

z(s)  =  - 0,023 / 0,027

z(s)  = - 0,85

Comparing  z(s)   and  z(c)

z(s) > z(c)     - 0,85  > -1,64

z(s) is in the acceptance region, we accept H₀


Related Questions

Find the value of x.

(I know it’s blurry sorry, here are the numbers)

3x-9
2x+2
27

Please help!

Answers

Answer:

= -89x + 227 =

Step-by-step explanation:

The value of x in the circle is 1.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

if a tangent and a chord are drawn from a point outside a circle, and the point of intersection of the tangent and the circle is labeled as point P, then the length of the tangent squared is equal to the product of the lengths of the two segments of the chord:

Now,

From the figure,

(2x - 9)² = 27 (2x + 2)

We can start by simplifying the left-hand side of the equation:

(2x - 9)² = 27 (2x + 2)

4x² - 36x + 81 = 54x + 54

Now we can move all the terms to one side and simplify:

4x² - 90x + 27 = 0

Next, we can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

where a = 4, b = -90, and c = 27.

Plugging in the values:

x = (-(-90) ± √((-90)² - 4(4)(27))) / 2(4)

x = (90 ± √(8100 - 432)) / 8

x = (90 ± √(7668)) / 8

x = (90 ± √(447)) / 8

x ≈ 11.16 or x ≈ 1.09

Rounding to a whole number.

x = 1

Therefore,

The value of x in the circle is 1.

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Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.

Answers

It’s 10 because you need to round

if I have a 8 inch by 10 inch poster what is the area​

Answers

Answer:

80 inches

Step-by-step explanation:

8x10=80

because, lxw

l= length

w= width

Answer:

80

Step-by-step explanation:

im not trying to copy the answer above, im just going to say why its 80

so firstly we have the known dimensions of 10 by 8, so in this case we have 10 rows that each contain 8 units

we can then multiply the 8 units of one row, by the amount of rows there are total (in this case 10) to get the total unit count, or area

8 * 10 = 80

(NOTE: you can use the Asterisk (*) as a multiplication mark as to not get it confused with x as in the variable, as with slash (/) for dividing)

hope this helps with this and other problems, credits to the answer above for doing the initial work :)

This graph represents the demand for health supplements in Oklahoma. Match each section of the function to the description of how the y-value changes as the x-value increases. increases quickly increases slowly decreases slowly decreases quickly A arrowRight B arrowRight C arrowRight D arrowRight

Answers

The appropriate description of the graph is as follows

1. The demand for health supplements in Oklahoma A: increases slowly.

2. The demand for health supplements in Oklahoma B: Decreases quickly.

3. The demand for health supplements in Oklahoma for C: Increases quickly.

4. The demand for health supplements in Oklahoma for D: decreases slowly.

How to interpret lines on a graph?

To interpret lines on a graph, we must first note that those lines mean a number of things but ultimately, the tell or show is the relationship between two or more variables.

In the case of the Oklahoma graphs, we know that the lines represents the deman for health supplements. However, what we don't know are those factors that are causing the demands to increase or decrease.

The above answer is for the graph below that has been attached.

Find more exercises that includes graphs;

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Please help i would really appreciate it.

Answers

(1,4) this is because the flip over y axis does not touch the y value but gives the opposite of the x value
The third one maybe? Don’t blame me if it’s wrong

In ΔABC, a = 1.9 inches, b = 7.1 inches and c=7.4 inches. Find the measure of ∠B to the nearest degree.

Answers

Answer:

74°

Step-by-step explanation:

Given  ΔABC with:

a = 1.9 in, b = 7.1 in, c=7.4 in

To find

∠B

Solution

Use the law of cosines

cos B = (a² + c² - b²)/(2ac)cos B = (1.9² + 7.4² - 7.1²)/(2*1.9*7.4)cos B = 0.283m∠B = accos (0.283)m∠B = 74° (rounded)


Karen bought some books for $4 each and received a discount of $5 off of her total purchase. She spent 571 after the discount. How many
books did she buy? ( NO LINKS ) LINKS GET REPORTED!

Answers

Answer:

she bought 143

Step-by-step explanation:

( 27 − 9 ) × 3 ÷ 9 + 18 = 42 .

Answers

Answer:

24=42

Step-by-step explanation:

Use PEMDAS!

Answer: 24 = 42

Step-by-step explanation:

PEMDAS / order of operations.

Please find the VOLUME . Will mark the brainliest be geniune no links

Answers

Answer:

Pyramid formula: V= LWH/3

224

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

The figure shown is a triangular prism

The volume of a triangular prism can be calculated by using this formula

[tex]V=ah[/tex]

where a = area of base and h = height

we are already given the height ( 8 ft ) so all we need to find is the area of the base

Because this is triangular prism the base will be a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height

The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft

That being said we plug in the values into the formula

[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]

So we can conclude that the area of the base is 42 ft²

Now to find the volume

Using the formula V = ah

* plug in the values *

V = 42 * 8

42 * 8 = 336

Therefore the volume of the triangular prism is 336ft³

can someone help i will give brainlest

Answers

Answer:

Your answer is x+ 9.Thanks.

The logo on a shirt is in the shape of a parallelogram. What is the area of the parallelogram? Round to the nearest tenth.

Answers

Answer:

90

Step-by-step explanation:

Can somebody explain Scatter Plots and Equations of Lines for me. I'm not quite understanding it

Answers

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.

The following data points represent the number of red candy pieces in each of Nate's bags of candy.
4, 7, 11, 11,2,5,8
Using the data, create a histogram

Answers

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the data:

4, 7, 11, 11,2,5,8

To create an histogram of the data, we could use the online histogram maker ;

4

7

11

11

2

5

8

Jeff translates triangle FGH 2 units left and 4 units up.

What are the new coordinates of point F after the translation?

O A (-2,4)
O B. (0,4)
O C. (2,6)
OD. (6,6)
(look at photo)
PLZ HELP FAST ILL GIVE POINTS AND BRAINLYEST

Answers

Answer:

C. (2,6)

Step-by-step explanation:

Translate 2 units left and 4 units up: (x,y) -> (x-2 , y+4)

F (4,2) -> (4-2 , 2+4) -> (2 , 6)

I don’t know how to do this . I need help

Answers

its A because similar is same angles or sum like that and ABC is A15 B120 C is (180-135)=45 and JKL is J15 k(180-60)=120 and L45

Taylor cuts 1/3 sheet of constitution paper for arts and crafts project. Enter 1/3 as an equivalent fraction with the demontinators shown.

Answers

Enter a picture with it please it’ll be able to help

Is 0.6 greater than 0.85?? ( 4th grade work)

Answers

Answer:

No its not

Step-by-step explanation:

Answer:

No, 0.85 is greater.

Step-by-step explanation:

Imagine a number line, with one at the end and 0.1 at the other end. With .85, It would be closer to one, with 0.6 being behind 0.85. The only other reason that 0.6 is greater than 0.85 is if they are converted to fractions.

Rationalize the denominator and simplify 2√x-3 √y / √x+ √y

Answers

2√x−3√xyx+√y is your answer.

BEUH PLEASE ANWSERRDDD THIS

Answers

Answer:

Circumference

Step-by-step explanation:

Answer:

circumference

Step-by-step explanation:

A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number

Answers

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that [tex]P(0) = 5000[/tex]

So

[tex]P(t) = 5000e^{rt}[/tex]

After three hours it grew 6500 bacteria:

This means that [tex]P(3) = 6500[/tex]. We use this to find r.

[tex]P(t) = 5000e^{rt}[/tex]

[tex]6500 = 5000e^{3r}[/tex]

[tex]e^{3r} = \frac{65}{50}[/tex]

[tex]\ln{e^{3r}} = \ln{\frac{65}{50}}[/tex]

[tex]3r = \ln{\frac{65}{50}}[/tex]

[tex]r = \frac{\ln{\frac{65}{50}}}{3}[/tex]

[tex]r = 0.0875[/tex]

So

[tex]P(t) = 5000e^{0.0875t}[/tex]

How many bacteria will be present after 13 hours?

This is P(13). So

[tex]P(13) = 5000e^{0.0875*13} = 15594.8[/tex]

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

what is the inverse function of y equals 3x + 1what is the inverse function of Y=3x+1​

Answers

Answer:

[tex]y=\frac{x-1}{3}[/tex]

Step-by-step explanation:

[tex]x=3y+1[/tex]

Subtract 1,

[tex]3y=x-1[/tex]

Divide each side by 3,

[tex]y=\frac{x-1}{3}[/tex]

if a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.​

Answers

If you are comparing a*b=4*3, a = 4 and b = 3.

This would mean that 2a = 8.

If a×b=2a=b, evaluate 4×3 , Based on the given equation, the result of 4 × 3 is 12.

To evaluate 4 × 3 using the given information, we substitute the values of a and b into the equation.

An equation is a mathematical statement that shows the equality of two expressions or quantities. It consists of an equal sign (=) placed between the two sides of the equation. The expressions on each side of the equal sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation.

Equations are used to represent relationships and solve for unknown values. They can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal is to find the value or values of the variable(s) that make the equation true.

Given: a × b = 2a = b

Let's assign a = 4 and b = 3:

4 × 3 = 2(4) = 3

Simplifying the equation:

12 = 8 = 3

Therefore, based on the given equation, the result of 4 × 3 is 12.

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Full question

If a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.​

( No graph Needed)

explain adpose tissue​

Answers

Answer:

Adipose tissue is commonly known as body fat. It is found all over the body. It can be found under the skin (subcutaneous fat), packed around internal organs (visceral fat), between muscles, within bone marrow and in breast tissue.

Adipose tissue is commonly known as body fat. It is found all over the body. It can be found under the skin (subcutaneous fat), packed around internal organs (visceral fat), between muscles, within bone marrow and in breast tissue.

Need help with this

Answers

Should be 49^2 = 36^2 + 25^2, or something like that.

please help me on this

Answers

Answer:

C

Step-by-step explanation:

rolling a 1 and
the coin landing
on tails

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Rolling a 1 is [tex]\frac{1}{6}[/tex]

Flipping tails is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}=\frac{1}{12}[/tex]

de que numero 92 es el 15% mas?

Answers

105.8

EXPLANATION

15% de 92 es 13.8
92 + 13.8 = 105.8

The area of sector AOB is
9/4pi and MZAOB = 40°. Find the
radius of circle O.
Radius:

Answers

Answer:

i ma rhhy

Step-by-step explanation:

i am right

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

11/20

Step-by-step explanation:

plz can i get brainliest:)

5 shirts for $30.00

Rate: What go's here Unit Rate: What go's here?
Pls help!

Answers

Step-by-step explanation:

that each shirt is 6 dollars

Other Questions
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These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately.Now that the lab is complete, it is time to write your lab report. The purpose of this guide is to help you write a clear and concise report that summarizes the lab you have just completed. The lab report is composed of four sections:Section I: Experimental Overview Provide background information. Include the hypothesis(es). Summarize the procedures.Section II: Data and Observations Summarize the data you collected in the lab guide. Include information from data tables. Include any written observations that are relevant.Section III: Analysis and Discussion Discuss any important calculations or formulas used. Identify key results, what the results indicate, and any trends in the data. 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