One research study of illegal drug use among​ 12- to​ 17-year-olds reported a decrease in use​ (from 11.4% in​ 1997) to ​9.8% now. Suppose a survey in a large high school reveals​ that, in a random sample of 1046 ​students, report using illegal drugs. Use a 0.05 significance level to test the​ principal's claim that illegal drug use in her school is below the current national average.

Answers

Answer 1

Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:

[tex]H_0: p \geq 0.098[/tex]

At the alternative hypothesis, it is tested if it is below, that is:

[tex]H_1: p < 0.098[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

93 out of 1046 reported using illegal drugs, hence the parameters are:

[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]

[tex]z = -0.99[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945


Related Questions

The m<1 is 18 more than twice m<2. Find m<3.
See picture for full problem. Please and thank you!

Answers

Answer:  126 degrees

====================================================

Explanation

x = measure of angle 1

y = measure of angle 2

x = 2y+18, since angle 1 is 18 more than twice that of angle 2

Assuming this is a parallelogram, the adjacent angles are supplementary. So,

x+y = 180

2y+18+y = 180

3y+18 = 180

3y = 180-18

3y = 162

y = 162/3

y = 54

This leads to,

x = 2y+18

x = 2*54+18

x = 108+18

x = 126

Note that x+y = 126+54 = 180

Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees

The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°

What is polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

The measure of angle 1 = 2 × The measure of the angle 2 + 18

Write an equation for the above statement,

x = 2y + 18

Here, x is a measure of angle 1 and y is the measure of angle 2,

As you can see from the figure it is a parallelogram then,

x + y = 180  (The sum of supplementary angle)

Solve the equation by elimination method,

y = 54, x = 2 × 54 + 18 = 126

The opposite angle of a parallelogram are equal,

Measure of angle 3 = Measure of angle 1 = 126

To know more about polygons:

https://brainly.com/question/10441863

#SPJ2

a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?

Answers

54 tiles.

9x12=108feet
6x4=24in
Convert 108 feet into inches which will become 1296 inches.

1296/24 will give u 54 tiles

Answer:

Step-by-step explanation:

12 inches per foot

The floor is 9(12) = 108 inches by

12(12) = 144 inches

The floor area is 108(144) = 15552 sq. In.

Each tile is 4(6) = 24 sq. in.

Need 15552/24 = 648 tiles

Fred makes $750 a week working 5 days .How much does he make in one day

Answers

Answer:

$150

Step-by-step explanation:

750/5 = 150

Can U solve it
plz explain fully !​

Answers

Answer:

(9 ^ 3) x 0.04 (4/99)

Step-by-step explanation:

This seems overwhelming, but after simplifying, it will look much easier

Numerator (First Row)

First, we will combine like terms and simplify the top row

(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81

(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)

(9 ^ 2x) x 648

Denominator (Second Row)

Next, we can combine like terms and simplify the second row

(9 ^ x) x 66 - (9 ^ x - 2) x 243

(9 ^ x) - (9 ^ x - 2) x (66 x 243)

(9 ^ 2x + 2) x 16,038

Simplify

Our expression is now

(9 ^ 2x) x 648

(9 ^ 2x + 2) x 16,038

We can simplify it as

(9 ^ 3) x 0.04 (4/99)

I need help please:(

Answers

Answer: times

Step-by-step explanation:

Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:30 tacos and 70 burritos

Step-by-step explanation:

inequality 1: y≤110−x shade down

inequality 2:y≥80− 1/2x Shade up

Answer (30,70)

Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?

How many trucks will Megan need to pack all 539 boxes? (show work )

Answers

Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.

Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.

539/22=24.5. Since there is a remainder, you will need 25 trucks total

I have a system of equations I don’t remember how to do :|

I forgot how to solve this, and I forgot how to find the slope…

Answers

Answer:

  x + y = 3 (infinite solutions)

Step-by-step explanation:

You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."

That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.

_____

Additional comments

There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.

We can solve the first equation for y by subtracting x from both sides:

  x +y -x = 3 -x

  y = -x +3 . . . . . . simplify

In this form, the slope is the coefficient of x. Here, it is -1.

This expression for y can be substituted into the other equation:

  3x +3(-x +3) = 9

  3x -3x +9 = 9 . . . . . eliminate parentheses

  9 = 9 . . . . . . . . . . . simplify

This is true for all values of x or y. There are an infinite number of solutions.

Answer:

There are infinite numbers of solution.

Step-by-step explanation:

Question :

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]

Solution :

Solving the question and finding the final answer.

Here,

x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━

Now, from equation (i),

[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]

[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]

━━━━━━━━━

Now, putting the value of x in equation (ii)

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]

This statement is true for all values of x and y.

So, there are infinite numbers of solution.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

explain please i dont get it

Answers

Answer:

.........................

......

the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach

Answers

Answer:

The ladder reaches [tex]15ft[/tex]

Step-by-step explanation:

In the first case we have

[tex]cos\theta =\frac{12}{15}[/tex]

In second case let the height be [tex]x[/tex]

We have

[tex]sin\theta =\frac{x}{25}[/tex]

We know that

[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]

Substituting

[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]

The ladder reaches [tex]15ft[/tex]

Dani spent $6,300 on a used car. She paid $630
as a down payment. What fraction of the orig-
inal cost was the down payment?
A. 1/10
B. 1/18
C. 1/20
D. 1/40

Answers

Answer:

1/10

Step-by-step explanation:

630/6300 = 0.1

0.1*100 = 10

10% a.k.a 1/10

Hope this helped!

can someone help me

Answers

i believe the answer is 6

Answer:

The answer is 6 cause khan acadamy

Step-by-step explanation:

deposited ​$7,500 into a savings account 5 years ago. The simple interest rate is 2​%. How much money did earn in​ interest?

Answers

Answer:

$750

Step-by-step explanation:

simple interest equation is:

I (interest) = P (principal) x R (interest rate, as a decimal) x T (time, in years)

I = 7500 x .02 x 5

I = 750

HELPPPP PLSSSS IT'S UNIT RATE BUT I Don't HAVE MUCH TIME TO DO IT!!!​

Answers

Answer:

So Jennys Jean store charges the higher rate.

Step-by-step explanation:

Jeanys Jean store

Cost/pair = 20/1 = $20 per pair

Jeans warehouse

Cost/pairs = 36/2 = $18 per pair

So Jennys Jean store charges the higher rate.

Complete the sentences below based on the graph of the function.

Please help!

Answers

Answer:

20 km20 km/h5 km/h

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

  Sean's workplace is located 20 km from his home.

__

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

  (20 km)/(1 h) = 20 km/h

  Sean's speed driving to work was 20 km/h.

__

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

  (10 km)/(2 h) = 5 km/h

  Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

Additional comment

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

Darren got 45 out of the 60 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer: To to find the percentage, you simply need to divide 45 by 60:

Step-by-step explanation:

45/60= .75

Move the decimal from the .75 over 2 times which would get you 75% on his test. So he got a 75%

Answer:

75%

Step-by-step explanation:

To find the percentage of questions Darren got correct, first create a fraction.

question's correct/total question's so 45/60

Then, convert the fraction to a percent.

45/60 = 0.75 =75%

So, Darren got 75% of the questions correct.

hope i helped


What is the height of the triangle?
17 units
34 units
51 units
68 units

Answers

51 units
Using right triangle formula we will get 51 explanation in the picture

What’s the slope of a line that goes through (0,2)(7,5)

Answers

Answer:

slope = 3/7 or 0.43

Step-by-step explanation:

use the slope(gradient) formula

Solve for B: 19 (less than or equal too sign) B + 17

Answers

Here you go, the work is on the paper attached

Which of the following is a nonlinear function

Answers

Answer:

Linear functions are equations where the greatest power of the variable (typically x) is 1;

They are graphed as straight lines;

So, any function that has the following format:

f(x) = ax + b;

Nonlinear functions would be any equation that has a variable to a power greater than 1;

This could be a quadratic equation or an exponential equation

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

W= 2

Step-by-step explanation:

GUYS PLEASE HELP!!!

Answers

Answer:

C (5,4)

Step-by-step explanation:

(x,y)

fist number in the ordered pair is the X value

Second number in the ordered pair is the Y value

A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis

B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis

C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)

After doing all of these we see that C does not end up on the line

Paul has 0.50$ in his pocket. What fraction of a dollar does he have

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

Paul has 1/2 of a dollar.

Step-by-step explanation:

A haft of a dollar is 50 cents since 1 dollar is 100 cents so the fraction simplified would be 1/2 or 50/100.

SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU!

Answers

Answer:1. (1,2)    2.(-1,0)

Step-by-step explanation:

1.  5x-4(-3x+5)=3  x=1             2. 3(2y-1)-2y=-3    y=0                                                  

y=-3x1+5    y=2 Plug them in                       X=2x0-1            x=-1       plug them in                

Identify the terms and like terms in the expression.3n+7−n−3

Answers

Answer:

n

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers.

change 4700g into kg

Answers

Answer:

4.7 kilograms

Step-by-step explanation:

[ 1000 g = 1 kg ]

Change 4700g into kg,

→ 4700 ÷ 1000

→ 4.7 kg

Answer: 4.7 kg (divide by 1000)

Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!!

Answers

Answer:

your answer is the last option

Step-by-step explanation:

There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer

The answer is 58 hope this helps

a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed

Answers

Answer:

10π

Step-by-step explanation:

First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.

So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ

.RP.1.3 | JoAnn bought 2 shirts for $13.50 each and a purse for $8.
The sales tax was 6%. What is the total she paid for her
purchase, including tax?

Answers

Answer:

The answer is  $22.79. Hope this helped! If the answer is wrong i'm super sorry!

Step-by-step explanation:

$13.50 + $8 = $21.50

0.06 x 21.50 = $1.29

$1.29 + $21.50 = $22.79

Please help I don’t understand please!!!

Answers

Answer:

y>5.5

Step-by-step explanation:

4y+3>2y+14

Subtract 2y from both sides.

2y+3>14

Subtract 3 from both sides.

2y>11

Divide 2 by both sides.

y>5.5

-hope it helps

the (y) and mean 1 and you need to multiply al number

Other Questions
who is the only us president sworn in on a roman catholic missal rather than a bible? Choose a cultural universal and describe a way that it is expressed in your own culture. A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?Monthly cost with 9 slices: Monthly cost with xx slices: factor completely. -3x^2+9x+30 Read this claim from paragraph 3 of the passage.One of the most common forms of censorship in schools is banned books.Which type of evidence does the author use to support this claim?expert opinionfacts and statisticsanecdotal evidenceno evidence 20 POINTS!! PLEASE HELP DUE NOWWW!Gia started to solve the equation 3(x 10) 5x = 2x 26 below. They want to move the variables to the left side of the equation for their next step. Fill in Line 4 and give the property.Line 1: 3(x 10) 5x = 2x 26 Original ProblemLine 2: 3x 30 5x = 2x 26 Distributive PropertyLine 3: -2x 30 = 2x 26 Collect Like TermsLine 4: _______________ _______________ Which of these describes a comedy instead of a tragedy?people experience many difficult situationspeople die or suffer some serious losscharacters try to solve a problem togetherproblems are solved happily in the end. Which reason for Allied victory is supported by the chart?fewer wounded soldiersgreater number of troopsdeadliest weaponstook more prisoners Very important question Apply the distributive property to create an equivalent expression.-9x(5j+k)PLEASE HELP THANK YOUU!! Lamar wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 11 feet. Suppose glass costs $5 for eachsquare foot. How much will the glass cost to replace the window?sax 5 ? Bots have answered this for the past two times but I still need help. The question is below. A recombinant plasmid molecule is introduced into a bacterial cell by A. recombination B. nuclear transplantation C. ligation D. transformation 2.5 x 10^3 times what number is equal to 5 x 10^6? 7. He ___________ housework after school at the moment.A. are doing B. does C. is doing D. will do Solve for x: 3x 8 = 13SHOW WORK Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week? What is the solution to this equation? 2 x + 3 = x 4 What happened after Israel declared its independence on May 14, 1948? when keisha installed a fence along the 200 feet perimeter of her rectangular back yard she left and opening for GATE in diagram below she used X to represent the length of the gate (I give brainliest) what does it mean when you hear ringing in your ear