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
kipiarov [429]
2 years ago
7

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

y 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, 25 claimed to have used steroids in the last school year, and of the underclassmen, 19 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids.
Mathematics
1 answer:
iris [78.8K]2 years ago
6 0

Answer:

-0.048

Do not reject  H_0:P_1-P_2=0

Step-by-step explanation:

From the question we are told that

Sample size n_1=350

Sample size n_2=250

Sample proportion 1  \hat P= \frac{25}{350} =>0.07

Sample proportion 2 \hat P= \frac{19}{250} =>0.076

95% confidence interval

Generally for 95% confidence level

Level of significance

 \alpha = 1-0.95=>0.05

 \alpha /2=\frac{0.05}{2} =>0.025

Therefore

Z_a_/_2=1.96

Generally the equation for confidence interval between P_1 - P_2  is mathematically given as

(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2}  }

(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250}  }

(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4  }

(-0.006)\pm 0.042

(-0.006)- 0.042=>-0.048

(-0.006)+ 0.042=>0.036

Therefore

Confidence interval is

-0.048

Conclusion

Given the confidence interval has zero

Therefore do not reject  H_0:P_1-P_2=0

You might be interested in
I need help with this math questions can anyone help Thanks.<br> Can u help me on #1 and#2
Fynjy0 [20]
1.
yes
x is number of group acts
y is number of indivual acts


2. I would eliminate x by multiplying 2nd equation by -3 then adding

12x+6y=120
<u>-12x-3y=-90 +
</u>0x+3y=30

3y=30
divide by 3
y=10

sub
4x+y=30
4x+10=30
4x=20
divide 4
x=5

each group act takes 5 mins and each individual takes 10 minutes
<u /> 

4 0
3 years ago
Janie receives an allowance of $ 3 $3dollar sign, 3 per week. In addition, she can earn $ 2 $2dollar sign, 2 for each chore she
Gnesinka [82]

Hello  Dafnemlp47vj7

The inequality for one week would be <u><em>13  = 2c + 3 </em></u>

6 0
3 years ago
I HELP NEED ASAP PLZ HELP ME
Artemon [7]

Step-by-step explanation:

hope it helps.........

6 0
3 years ago
Read 2 more answers
Shown here is the graph of which inequality? PLEASE HELPPP!
lakkis [162]
The answer to this one will be C
Hope this helps :)

3 0
3 years ago
Read 2 more answers
I will give brainliest if you answer all correctly ​
miskamm [114]

Answer:

I think 13 is C

Step-by-step explanation:

71+52= 123

180-123= 57

7 0
3 years ago
Other questions:
  • What is the value of the summation ∑i=14(2i+6i2)
    12·1 answer
  • A bag with 2 1/6 ounces of peanuts can make 2/5 of a jar of peanut butter. It can make a full jar with how many ounces of peanut
    14·1 answer
  • 6x +2 =2(x+4)-2 helpp meee
    13·2 answers
  • Select all that apply
    9·1 answer
  • Y less than 21 write in expresion algebraic
    8·2 answers
  • I don’t understand this
    13·1 answer
  • The perimeter of a rectangle is P = 2w + 2L, where w is the width of the rectangle and L is the length of the rectangle. Rearran
    11·2 answers
  • kim practices soccer each day. she made a chart of the number of shots she made and the goals she scored. find the equation that
    10·1 answer
  • What are the possible measures of the triangles side? Select all that apply
    11·1 answer
  • Write the slope-intercept form of the equation for the line.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!