1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balandron [24]
2 years ago
9

Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in

movies and smoking initiation among adolescents. In the study, 6,522 U.S. adolescents ages 10-14 who had never tried smoking were randomly selected. Of those who subsequently tried smoking for the first time, 38% did so because of exposure to smoking in the movies. Estimate the proportion of all U.S. adolescents ages 10-14 who started smoking because of seeing actors smoke in movies by constructing a 95% confidence interval.
Mathematics
1 answer:
docker41 [41]2 years ago
8 0

Answer:

The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

Step-by-step explanation:

A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.

The (1 - <em>α</em>) % confidence interval for the population proportion (<em>p</em>) is given by:

CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

n = 6522\\\hat p=0.38\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table for the critical value.

Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.38\pm 1.96\times \sqrt{\frac{0.38(1-0.38)}{6522}}\\=0.38\pm 0.0118\\=(0.3682, 0.3918)\\\approx (0.37, 0.40)

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

You might be interested in
4. Over the span of a month, a school tracks student choices at lunch. They 1 point
Darina [25.2K]

Answer:

b

Step-by-step explanation:

56 +32 =88

88 - 22 = 66 remove this who did both as to not double count

100-66=34 bought neither

5 0
3 years ago
Read 2 more answers
Adjust the equation so the line passes through the points. Y=x+1
lapo4ka [179]

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

3 0
3 years ago
Find the slope of a line perpendicular to 3x + 5y = 15.
Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
Simply 15 to the 18 power divide by 15 to the 3 power
andrew11 [14]
The property of exponents says that when you divide two exponents with the same base, you can keep the base and subtract the exponents. So you can do 18-3, which is 15, so it would be 15 to the 15th power
6 0
3 years ago
(50 points) What is the value of sin J for this triangle?
weqwewe [10]

Answer:

8/17

Step-by-step explanation:

right angle box means that area is the bottom

soh cah toa

hypotenuse is 17

hypotenuse is usually the biggest number

opposite is 8

sin is opposite/ hypotenuse

sin is 8/17

6 0
2 years ago
Other questions:
  • How would you find the missing x and y values if you don’t have a model or equation to go by?
    9·1 answer
  • What is 1/4 + 1/2? hurry i need help
    8·2 answers
  • Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students
    5·1 answer
  • I need to write 1 X 1 + 9 X ( 1/2) + 8 X ( ( 1/100) + 1 X ( 1/1000) in a standard form?
    12·1 answer
  • How to divide 55.1 ÷ 19 and show work. ​
    9·1 answer
  • Help pleaseee <br><br> you need to find x
    9·2 answers
  • Please help with this question from Khan Academy!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • Solve this one step equation<br> -6+y=2
    9·2 answers
  • The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
    6·1 answer
  • Please answerNot to be un polite but all of you are ignoring me and I pay y’all to help me so I don’t get it
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!