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
777dan777 [17]
3 years ago
8

In a sample of 35 high school seniors, 14 of them are attending college in the fall. Find the 95% confidence interval for the tr

ue proportion of high school seniors that will attend college in the fall from the population.
Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Answer:

Between 23.77% and 56.23%

Step-by-step explanation:

On your TI-84

Press STAT

Use right arrow to scroll over to highlight TESTS

Use down arrow to scroll down to A:1-PropZInt...

Press ENTER

Make the screen read

x:14  

n:35

C-Level:0.95

Calculate

highlight  Calculate

Press ENTER

See this:

(.2377,.5623)

p(hat)=.4

n=35

The confidence interval is 0.2377 < p < 0.5623

Between 23.77% and 56.23%

You might be interested in
g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate
bixtya [17]

Answer:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=25, p=0.85)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want to find the following probability:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

7 0
3 years ago
What is the algebraic expression for the difference between nine times a number and four more than six times the number?
Mazyrski [523]

Answer:

9n-(6n+4)

Step-by-step explanation:

n is number

7 0
4 years ago
What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?
kkurt [141]
The first step in writing f(x) = 3x² + 6x - 8 in vertex form is

E. Factor out 3 from the first two terms.

f(x) = 3x² + 6x - 8
f(x) = 3(x² + 2x) - 8
f(x) + 8 = 3(x² + 2x + __)
f(x) + 8 + 1 = 3(x² + 2x + 1)
f(x) + 9 = 3(x+1)²
f(x) = 3(x+1)² - 9

5 0
3 years ago
Read 2 more answers
Any got an answer for this math question?
Kamila [148]

Answer:the answer  this is negative 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular
Sladkaya [172]

Answer:

Greater than.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • What’s the answer to this question ?
    15·1 answer
  • Which unit would you use to measure the time it would take to fly across the country?
    8·2 answers
  • Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an addi
    8·2 answers
  • Which expression is equivalent to the expression shown?<br> 4² x 4⁴
    9·1 answer
  • · Three arithmetic means between 18 and 92.​
    12·1 answer
  • Please help, thank you.
    15·2 answers
  • Determine the domain on which the following graph of f(x) is negative. ​
    15·1 answer
  • A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary wo
    9·1 answer
  • The altitude of an airplane is decreasing at a rate of 42 ft per second what is the change in altitude of the airplane over a. O
    5·1 answer
  • A scale drawing of a building needs to be made using the scale 1 in=260 ft. How tall will the building in the scale drawing be i
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!