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
Solnce55 [7]
2 years ago
7

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu

dy was performed at the end of the school year and asked each if they had used steroids at any point in the last school year. Of the upperclassmen, 23 claimed to have used steroids in the last school year, and of the underclassmen, 21 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids. Enter the confidence interval - round to 3 decimal places.
Mathematics
1 answer:
iVinArrow [24]2 years ago
7 0

Answer:

-0.061 < P_1 -P_2< 0.025

Step-by-step explanation:

Give data:

n_1 = 350

n_2 =250

x_1 = 23

x_2 = 21

\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066

\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084

for 95% confidence interval

\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025

z_{\alpha/2} = 1.96  from standard z- table

confidence interval for P_1  and P_2 is

\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}

(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}

-0.018 \pm 0.043

confidence interval is

-0.018 - 0.043 < P_1 -P_2

-0.061 < P_1 -P_2< 0.025

You might be interested in
What is 5-5x+4x equal ?
Arisa [49]

Answer:

-x+5

Step-by-step explanation:

5-5x+4x

= 5+(-5x)+4x

combine like terms:

5+(-5x)+4x

(-5x+4x)+(5)

= -x+5

5 0
2 years ago
Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x
Dvinal [7]

Answer:

\dfrac{A}{x}+\dfrac{B}{x-6}

Step-by-step explanation:

Given the function \dfrac{37}{x(x-6)}, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

= \dfrac{37}{x(x-6)}\\\\= \dfrac{A}{x}+\dfrac{B}{x-6}

<em>Since we are not to solve for the constants, hence the partial fraction is </em>\dfrac{A}{x}+\dfrac{B}{x-6}

8 0
3 years ago
Simplify the following fractions using ur magic number. (*2,3,5,7,11,13*)
pshichka [43]

1) 6/14  divide by 2 =        3/7

2) 9/12 divide by 3 =         3/4

3) 15/25 divide by 5 =        3/5

4 0
3 years ago
Need help with Algebraic reasoning senior level?
dimaraw [331]
I need help with a question in algebra 2. May you please help me? If that’s fine with you?
7 0
3 years ago
Two towns are 324 miles apart. on a map they are 4 1/2 apart. the scale of the map is 1
Rom4ik [11]
Shouled be 1:32 if u divide 324/(4.5)
6 0
3 years ago
Other questions:
  • Evaluate the integral Integral from left parenthesis 2 comma 1 comma 2 right parenthesis to left parenthesis 6 comma 7 comma neg
    13·1 answer
  • If you divide any number by itself, what is the result? How can you apply this result to the expression -1×60/-1×10?
    13·1 answer
  • What is the area of a rectangle with the length of 43 inches and a width of 25 inches?
    15·2 answers
  • Select the points that are solutions to the system of inequalities. Select all that apply
    13·2 answers
  • Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=
    10·1 answer
  • What is the weight of this pear
    11·1 answer
  • A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?
    12·2 answers
  • A clock hand rotated from 12 to 6 this is​
    12·1 answer
  • How long would it take for the value of the account to reach $880 to the nearest tenth of a year?
    8·1 answer
  • What are the answers
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!