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
Elden [556K]
3 years ago
13

In a sample of 330 randomly selected PCC students it was found that 175 of them have a car. Assume this sample comes from a popu

lation that is normally distributed. a. Calculate the EBP then construct a 95% confidence interval estimate of the percentage of PCC students have a car (round the values of the interval to three decimal places). b. Based on your confidence interval, can we conclude that most students at PCC own a car?
Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

a) 0.530 - 1.96\sqrt{\frac{0.530(1-0.530)}{330}}=0.47615

0.530 + 1.96\sqrt{\frac{0.530(1-0.530)}{330}}=0.58385

And if we convert this interval into % we got (47.615%, 58.385%)

b) For this case since the lower value for the confidence interval is a value lower than 0.5 (50%) we don't have enough evidence to conclude at 10% of significance than  most students at PCC own a car

Step-by-step explanation:

We can begin calculating the best estimator for the true proportion of students at PCC who own a car:

\hat p = \frac{175}{330}=0.530

Part a

The confidence level is 95% , and the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true proportion is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the info given we got:

0.530 - 1.96\sqrt{\frac{0.530(1-0.530)}{330}}=0.47615

0.530 + 1.96\sqrt{\frac{0.530(1-0.530)}{330}}=0.58385

And if we convert this interval into % we got (47.615%, 58.385%)

Part b

For this case since the lower value for the confidence interval is a value lower than 0.5 (50%) we don't have enough evidence to conclude at 10% of significance than  most students at PCC own a car

You might be interested in
There are a total of 25 students in class. 60% of the students are in band. How many students are in band?
Marizza181 [45]

Step-by-step explanation:

60% of 25 :

100% = 25

1% = 25/100

= 0.25

60% = 0.25 x 60

= 15

So 15 pupils are in band.

5 0
3 years ago
The table shows some values of a function of the form y
kherson [118]

The value of c, the constant of the function y = ax² + bx + c, exists -3.

<h3>What is an equation?</h3>

An equation exists as an expression that indicates the relationship between two or more numbers and variables.

Given that: y = ax² + bx + c

At point (4, 21)

21 = a(4²) + 4b + c .......(1)

At point (5, 32)

32 = a(5²) + 5b + c .........(2)

At points (6, 45)

45 = a(6²) + 6b + c .......(3)

Therefore, the value of a = 1, b = 2 and c = -3.

The value of c, the constant of the function y = ax² + bx + c, exists -3.

To learn more about equations refer to:

brainly.com/question/2972832

#SPJ9

4 0
1 year ago
I need to solve for the indicated pieces of the right triangle and round sides and angles to the nearest tenth also find What x
Troyanec [42]

Check the picture below.

Make sure your calculator is in Degree mode.

3 0
2 years ago
How long does it take to double $1000 at an annual interest rate of 6.35% compounded monthly?
KatRina [158]

Answer:

63.5

Step-by-step explanation:

1000× 6.35 / 100 = 63.5

3 0
3 years ago
Given: ABCD is a trapezoid with AB || DC. If m∠A = 125 and m∠B = 99, find m∠C/
Pavlova-9 [17]

Answer:

The measure of angle C is 81\°

Step-by-step explanation:

we know that

If AB || DC

then

m -----> supplementary angles by consecutive interior angles

and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees

m

step 1

Find the measure of angle D

m

substitute the measure of angle A

125\°+m

m

step 2

Find the measure of angle C

m

substitute the values

125\°+99\°+m

m

5 0
3 years ago
Other questions:
  • the area of a parallelogram is 36x^6y^5. if the base of the parallelogram is 3xy^2 units,what is the height of the parallelogram
    10·1 answer
  • jerry is a co-owner of a small company and received 1/3 of the company profits, what was the overall profits if jerry made 150,0
    9·1 answer
  • There is a drug order for 75 mg of drug.The drug is available in 30-mg scored tablets. How many tablets should be administered?
    5·1 answer
  • Which of the following statements is true for inverse functions f(x) and g(x)?
    12·2 answers
  • Please include Work!!!
    13·1 answer
  • Round 19.543 to the nearest hundredth
    5·1 answer
  • Which of these describe a scenario in which the given quantity changes at a constant rate with respect to time? Select
    10·1 answer
  • Find the slope of the line that is perpendicular to y=-6x+12. PLEASE HURRYTTT
    6·2 answers
  • Pls help will mark the brainiest
    11·2 answers
  • Find the value of x. Write your answer in simplest form.<br><br><br><br> x =
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!