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]
3 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]3 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
One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
3 years ago
Number 8 <br> solve for x
dalvyx [7]

Answer:

B

Step-by-step explanation:

Since equalateral all angles are 60. 60 - 69 = -9.

5 0
3 years ago
Read 2 more answers
The masses of four planets in a solar system outside the Milky Way are given below.
zhenek [66]
Your answer is Planet B, Planet D, Planet A, Planet C. 
Look at the exponents.
23 comes before 24 and 27. So 3.30 x 10 ^ 23 comes first. Next, 24, and there are 2, so  go by the decimals, 4.87 comes before 5.97. So 4.87 x 10^24 comes before 5.97 x 10^24. Then, that leaves 1.89 x 10^27.
7 0
3 years ago
10 PTS!! PLEASE HELP ALGEBRA 1 MATH!
topjm [15]
#1)
incorrect slope is 
  y2 - y1
-------------
  x1 - x2

answer is B


6 0
3 years ago
Gabriel has $0.80 worth of pennies and
Juliette [100K]

Answer:

nickels=13 and pennies=15

Step-by-step explanation:

0.05n+0.01p=0.80

-0.01(n+p=28)

0.05n+0.01p=0.80

-0.01n-0.01p= -0.28

0.04n=0.52

n=13

p=15

4 0
3 years ago
Other questions:
  • Helppppp mathhhhhhhhhhh
    11·1 answer
  • Ryan is trying to determine whether 2.7x – 5.9 is equivalent to 2.8x – 5.9. To test this, he substitutes 0 for x into both expre
    15·2 answers
  • Simplify -2x^3yxxy^2
    9·1 answer
  • It costs Doug $30 to set up a cupcake stand. He charges $2 for every cupcake he sells. If Doug makes $48 of profit in one day, h
    6·1 answer
  • On Sierra's softball team, 7 out of the 28 players bat left-handed. On Aubrey's team, 5 out of
    9·1 answer
  • Someone help me please
    6·1 answer
  • I need help someone ....
    12·2 answers
  • Can someone help me out thx
    5·1 answer
  • A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond.
    8·1 answer
  • Which expression can be used to find the sum of the polynomials?<br><br> (9 – 3x2) + (–8x2 + 4x + 5)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!