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
goblinko [34]
3 years ago
11

A survey of 1010 college seniors working towards an undergraduate degree was conducted. each student was asked, "are you plannin

g or not planning to pursue a graduate degree?" of the 1010 surveyed, 658 stated that they were planning to pursue a graduate degree. construct and interpret a 98% confidence interval for the proportion of college seniors who are planning to pursue a graduate degree. (0.612, 0.690); we are 98% confident that the proportion of college seniors who are planning to pursue a graduate degree is between 0.612 and 0.690. (0.621, 0.680); we are 98% confident that the proportion of college seniors who are planning to pursue a graduate degree is between 0.621 and 0.680. (0.616, 0.686); we are 98% confident that the proportion of college seniors who are planning to pursue a graduate degree is between 0.616 and 0.686. (0.620, 0.682); we are 98% confident that the proportion of college seniors who are planning to pursue a graduate degree is between 0.620 and 0.682.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0
The confidence interval is (0.616, 0.686).

To find the confidence interval, we first find p, the proportion of students:
658/1010 = 0.6515

The confidence interval follows the formula
p\pm z(\sqrt{\frac{p(1-p)}{N}})

To find the z-score associated with this level of confidence:
Convert 98% to a decimal:  98% = 98/100 = 0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this is closer to the z-score 2.33.  

Using our information, we have:
0.6515\pm 2.33(\sqrt{\frac{0.6515(1-0.6515)}{1010}})
\\
\\0.6515\pm 0.0349

This gives us the interval (0.6515-0.0349, 0.6515+0.0349) or (0.616, 0.686).
You might be interested in
Dylan borrowed $2100 from the bank for 15 months. The bank discounted the loan at 2.6%. How much was the interest? $ State your
melomori [17]

Answer:

actual rate of interest is 2.08 %

Step-by-step explanation:

Given data

borrowed = $2100

time = 15 months

rate = 2.6%

to find out

interest and receive from the bank and actual rate of interest

solution

we know bank discounted the loan at 2.6%

so interest will be 2.6% of $2100

that is  = 2.6/100 × 2100

interest = $54.60

so receive from the bank  is  borrowed money - interest

receive = 2100 - 54.60

receive from the bank is $2045.40

and we can say that interest is directly proportional to time

so interest of 12 months / interest of 15 month = 12 month time/ 15 month time

here  interest of 12 months = 12/15 ×  interest of 15 month

interest of 12 months = 12/15 × 54.60

interest of 12 months is $43.68 (annually)

now we can calculate actual rate of interest

that is = interest / borrowed money × 100

actual rate of interest = 43.68/2100 × 100

actual rate of interest is 2.08 %

6 0
3 years ago
How do I show work for this question?, A train travels at an average speed of 67.5 miles per hour. At this speed how far could t
KatRina [158]

Answer: 219.375 miles

<u>Step-by-step explanation:</u>

d = r * t

   = 67.5 * 3.25

   = 219.375

5 0
3 years ago
All of the following are equivalent, except _____.<br><br> 3x<br> 2x 2<br> x(2 + 1)<br> 2x + x
Blizzard [7]
2x 2 is the answer your looking for,

When there are two variables (letters) you combine them by adding
6 0
2 years ago
Please help me id really appreciate it
Olenka [21]
They answer has to be c
7 0
3 years ago
What theorem is this<br>sss,sas,asa,aas,hl, or not enough info​
svp [43]
ASA - verticals angles are equal, two sides are equal, and two other angles are marked equal
6 0
3 years ago
Other questions:
  • Which statement is true about the given information? A line has points B, C, D, and E. All points are equal distances from each
    7·1 answer
  • What is the image point of (1, -3) after a translation right 5 units and up 2 units?
    12·1 answer
  • A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars) as a function of Size (measur
    15·1 answer
  • A circle has its center at the point X, and points A, W, and Y lie on the circle. Which line segment could not be a chord of the
    14·1 answer
  • Here are two simultaneous equations
    8·2 answers
  • Yapın.............. Bir sürpriz.. yardımcı olur musunuz ​
    15·1 answer
  • what's the ratio of boys to girls in a class is 3:4 and if there are 12 boys in the class how many girls are ther​
    15·2 answers
  • The square root of 105 would lie between which two consecutive integers?
    10·1 answer
  • Best answer = brainliest
    8·1 answer
  • Please show the steps​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!