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
5

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

ighth grade level. Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. Using the data, construct the 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level.
Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

n = 1537, \pi = \frac{353}{1537} = 0.2297

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

You might be interested in
How do i Write in Digits the fifty five hundredths​
grandymaker [24]

fifty five hundredths is equal to 0.55

6 0
2 years ago
Read 2 more answers
Can someone please help me I posted this multiple times but no one answers pls help me quick​
mario62 [17]
You would have to make 465=1550-7 1/2 x and find x
Subtract 1550 from both sides
-1085=-7 1/2x
Divide -7 1/2 on both sides
And the answer is 144 2/3
Sorry about ur bad luck
6 0
2 years ago
Solve for w.<br> 69=5w – 16<br> Simplify your answer as much as possible.
7nadin3 [17]
W=17 im too good at math to be wrong about this
3 0
3 years ago
Read 2 more answers
Determine whether the following function is one-to-one. f ( x ) = 6 x + 1
seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0
2 years ago
Write an equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5,−3) PLEASE
maksim [4K]

Answer:

y= 4/5x + 1

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • At a school, 147 students at least play one sport. this is 60% of the students at the school. how many students are at the schoo
    15·1 answer
  • Jamal and keisha went running keisha ran 2 miles more than jamal if keisha ran 8 miles how many miles did jamal run
    12·1 answer
  • Please explain!
    8·1 answer
  • 4. The Navarro family uses an average of 225 gallons of water per day, 5 gallons of water per day, 5 gallons of water which goes
    13·2 answers
  • The length of a rectangle is 7 inches less than twice the width of the rectangle. If the area of the rectangle is 60 square inch
    5·1 answer
  • In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, e
    10·1 answer
  • You spin a spinner and flip a coin. Find the probability of the compound event.
    15·2 answers
  • What is 2*8[(9+0)6*9]?
    13·2 answers
  • Katie wants to go ice skating. What would be a good temperature for this activity?
    9·1 answer
  • For each of the following a) identify the inverse function needed to solve for the indicated angle and b) solve for the angle (r
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!