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
Korvikt [17]
4 years ago
6

In a large school district, 16 of 85 randomly selected high school seniors play a varsity sport. in the same district, 19 of 67

randomly selected high school juniors play a varsity sport. a 95 percent confidence interval for the difference between the proportion of high school seniors who play a varsity sport in the school district and high school juniors who play a varsity sport in the school district is to be calculated. what is the standard error of the difference?
Mathematics
2 answers:
tresset_1 [31]4 years ago
8 0
First of all, you need to calculate the sample proportions:
p₁ = 16 / 85 = 0.188
p₂ = 19 / 67 = 0.284

The (approximated) standard error of the difference is given by the formula:
SE = \sqrt{ \frac{ p_{1} (1 - p_{1}) }{ n_{1} } +  \frac{p_{2} (1 - p_{2})}{n_{2}}  }
     = <span> \sqrt{ \frac{ 0.188 (1 - 0.188) }{ 85 } + \frac{0.284 (1 - 0.284)}{67}} }

    = 0.0695</span>
Mashcka [7]4 years ago
6 0

Answer:

Standard Error of the difference = 0.0695

Step-by-step explanation:

Its given that : In a large school district, 16 of 85 randomly selected high school seniors play a varsity sport

\implies P_1=\frac{16}{85}\\\\n_1=85

Also, in the same district, 19 of 67 randomly selected high school juniors play a varsity sport

\implies P_1=\frac{19}{67}\\\\n_2=67

Now, finding the standard error of the difference :

\text{Standard Error = }\sqrt{\frac{P_1(1-P_1)}{n_1}+\frac{P_2(1-P_2)}{n_2}}\\\\\implies \text{Standard Error = }\sqrt{\frac{\frac{16}{85}(1-\frac{16}{85})}{85}+\frac{\frac{19}{67}(1-\frac{19}{67})}{67}}\\\\\implies\text{Standard Error = }0.0695

Hence, Standard Error of the difference = 0.0695

You might be interested in
If quadrilateral PQRS is a kite, which statements must be true? Check all that apply.
mel-nik [20]

A kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can’t be used in both pairs).

Then:

  • Two disjoint pairs of consecutive sides are congruent by definition - QP≅QR and QR is not congruent to RS (one side can’t be used in both pairs);
  • One diagonal (segment QS, the main diagonal) is the perpendicular bisector of the other diagonal (segment PR, the cross diagonal), so PM≅MR;
  • The opposite angles at the endpoints of the cross diagonal are congruent, thus ∠QPS≅∠QRS.
  • ∠PQR is not congruent to ∠PSR, because they are not angles at the endpoints of the cross diagonal.

Answer: correct options are A, B and E.

3 0
4 years ago
Read 2 more answers
3/4 divided by 4/3 whats the answer to this problem
fiasKO [112]

Answer:

9/16

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which of the following parabolas opens upward and appears narrower than y = −3x^2 + 2x − 1? A. y = 4x^2 − 2x − 1 B. y = −4x^2 +
Kamila [148]
Narrowing it down it's either a or c because the other 2 choices open downward (negative a).
Graphing the 2 parabolas choice c is narrower.
c
7 0
3 years ago
What is the sum 4x+1/x+2 + x-1/3x
Yuri [45]

Answer:

\dfrac{4x+1}{x+2}+\dfrac{x-1}{3x}=\dfrac{13x^2+4x-2}{3x^2+6x}

Step-by-step explanation:

Domain:\\x+2\neq0\ \wedge\ 3x\neq0\\\\x\neq-2\ \wedge\ x\neq0

\dfrac{4x+1}{x+2}+\dfrac{x-1}{3x}=\dfrac{(4x+1)(3x)}{(x+2)(3x)}+\dfrac{(x-1)(x+2)}{(3x)(x+2)}\\\\=\dfrac{(4x)(3x)+(1)(3x)+(x)(x)+(x)(2)+(-1)(x)+(-1)(2)}{(3x)(x+2)}\\\\=\dfrac{12x^2+3x+x^2+2x-x-2}{(3x)(x)+(3x)(2)}\\\\=\dfrac{13x^2+4x-2}{3x^2+6x}

5 0
3 years ago
Decrease £900 by 5%?
GaryK [48]
45 should be the answer for that specific question.
4 0
3 years ago
Read 2 more answers
Other questions:
  • In Asad's class, 4/5 of the students like cake. Of those, 2/3 like chocolate cake. What ftaction of Asad's class likes chocolate
    9·1 answer
  • What comes after 68?
    14·2 answers
  • What is (9 x 10 ^-3)^2 in scientific notation
    15·1 answer
  • A particular type of bacteria grows at a rate of 21 % per day. If my hyena got infected with 2300 bacterium when his leg was cut
    12·1 answer
  • What times what equals 225?
    13·1 answer
  • Oct 16, 12:30:47 PM
    10·2 answers
  • Elizabeth is making a volcano for her science project. She determines that the radius of the base of the volcano
    9·1 answer
  • What is x in this equation: 3x+5=-20
    5·2 answers
  • Which equation shows the volume of the rectangular prism as a product of its edge lengths?
    12·1 answer
  • If a truck starts from rest and it has acceleration of 4m/s^2 for 5 seconds and calculate it's final velocity . What will be the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!