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
Vesna [10]
3 years ago
5

You have been given the task of finding out what proportion of students that enroll in a local university actually complete thei

r degree. You have access to first year enrolment records and you decide to randomly sample 115 of those records. You find that 85 of those sampled went on to complete their degree.
a)Calculate the proportion of sampled students that complete their degree. Give your answer as a decimal to 2 decimal places

Calculate lower bound and upper bound at 95% confidence interval. Give answer decimal to 3 places.
Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer:

The proportion of sampled students that complete their degree is 0.74.

The lower bound for the 95% confidence interval is 0.659 and the upper bound is 0.819.

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:

n = 115, \pi = \frac{85}{115} = 0.739

Rounded to two decimal places, the proportion of sampled students that complete their degree is 0.74.

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}} = 0.739 - 1.96\sqrt{\frac{0.739*0.261}{115}} = 0.659

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.739 + 1.96\sqrt{\frac{0.739*0.261}{115}} = 0.819

The lower bound for the 95% confidence interval is 0.659 and the upper bound is 0.819.

You might be interested in
A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed during June, July, August, and September. On a
Simora [160]
A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed during June, July, August, and September. On average, how much money was billed during each of those four months? A. $34,750 B. $74,250 C. $139,000 D. $417,000 so in conclusion just add up all those prices and you should get 7929$
5 0
2 years ago
Evaluate the following expression when x = 3 and y = 4:
OLEGan [10]

\dfrac{ {3}^{2} +  {4}^{3}  }{2 + 3}  \\  =  \dfrac{9 + 64}{5}  \\  =  \dfrac{73}{5}  \\  = 14.6

Answer is C.

Hope this helps. - M
3 0
3 years ago
Read 2 more answers
Micah is preparing for a piano recital. He practices for 50 minutes on Monday and 90 minutes on Wensday
SCORPION-xisa [38]

Answer:

She increased 80% the practise time

Step-by-step explanation:

The question is incomplete, the following is missing:

<em>by how much did she increase the time she practised each day? </em>

From Monday to Wednesday she increased 90 - 50 = 40 minutes  the practise time.

To compute the increment as a percentage use: increment/reference *100

In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.

6 0
3 years ago
Read 2 more answers
Plot Five points on the parabola the vertex two points to the left of the vertex and two points to the right of the vertex then
dangina [55]

Answer: disisisissisi disk man

Step-by-step explanation: brobro

8 0
3 years ago
The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together wei
HACTEHA [7]

Answer:

The 4th system (h = 4.2 − p ; h = 2p)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Lm is the midsegment of trapezoid ABCD ab=46 dc=125 what is lm
    15·2 answers
  • Express the terms of the following sequence by giving an explicit formula.
    14·1 answer
  • 9.5 kiloliters =____deciliters<br> Can someone help?
    6·1 answer
  • Help ASAP, please!!!!!!!!!!
    6·1 answer
  • 800 calories for 7 servings of pastries how many calories per serving
    8·2 answers
  • Helpppp ASAP<br><br><br><br> PLEASEDEEEE
    9·1 answer
  • Hey yall, 20 points? Factor to write an equivalent expression: 26a−10
    15·1 answer
  • Is 95,590,956 divisible by 9
    7·2 answers
  • Oliver is playing a math game. He chose three cards. The value of each card is shown.
    10·1 answer
  • Simplify:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!