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
Paha777 [63]
3 years ago
5

The administration at Pierce College conducted a survey to determine the proportion of students who ride a bike to campus. Of th

e 125 students surveyed 6 ride a bike to campus. Which of the following is a reason the administration should not calculate a confidence interval to estimate the proportion of all students who ride a bike to campus? Check all that apply.
A. The sample needs to be random but we don’t know if it is.

B. The actual count of bike riders is too small.

C. The actual count of those who do not ride a bike to campus is too small.

D. n(p-hat) is not greater than 10.

E. n(1 minus p-hat) is not greater than 10.
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0

Answer:

The correct option is (D).

Step-by-step explanation:

To construct the (1 - <em>α</em>)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.

A Normal approximation to binomial can be applied to approximate the distribution of proportion <em>p</em>, if the following conditions are satisfied:

  • n\hat p \geq 10
  • n ( 1 - \hat p) \geq 10

In this case <em>p</em> is defined as the proportions of students who ride a bike to campus.

A sample of <em>n</em> = 125 students are selected. Of these 125 students <em>X</em> = 6 ride a bike to campus.

Compute the sample proportion as follows:

\hat p=\frac{X}{n}=\frac{6}{125}=0.048

Check whether the conditions of Normal approximation are satisfied:

n\hat p =125\times 0.048=610

Since n\hat p, the Normal approximation to Binomial cannot be applied.

Thus, the confidence interval cannot be used to estimate the proportion of all students who ride a bike to campus.

Thus, the correct option is (D).

You might be interested in
Please solve this and give answer
Nikolay [14]

Answer:

Step-by-step explanation:

4 0
3 years ago
Plz answer as soon as possible
Mamont248 [21]
THE FIRST ONE AND THE LAST ONE
3 0
3 years ago
What is the slope of the line in the graph? slope= pls help!!!!!!!!!!!!!!
Flauer [41]

<u>Answer:</u>

1

you rise 1

then run to the right 1

1/1 = 1

let me know if you need a more in-depth explanation.

4 0
3 years ago
Find the slope of this graph, thanks
Anarel [89]

Slope  =  (change in 'y') / (change in 'x')

If you find two points where the line goes through the corners of boxes,
then count up the 'y' boxes and the 'x' boxes between those two points,
you'll find that the line rises 3 y-boxes for each x-box.

The slope of the line is  3 .
7 0
3 years ago
What is the product of -42 and 28?
arsen [322]
It is gonna be -1176.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Use counters to find quotient and remainder
    6·1 answer
  • Find the scale factor of the line segment dilation.
    11·2 answers
  • HELP!!!
    13·1 answer
  • Please help please send me the one that you sent me and I sent it to her and I
    13·1 answer
  • A company purchased 400 units for $20 each on January 31. It purchased 520 units for $26 each on February 28. It sold a total of
    10·1 answer
  • A chef needs to make 8 servings of fruit salad. He has 2 1/2 pounds of fruit salad. How much fruit salad will be in each serving
    7·1 answer
  • All the kitten way together 4 pound and 2 ounces how many ounces does it
    13·1 answer
  • an hourglass is turned over with the top part filled with sand. after 3 minutes, there are 855 ml of sand in the top half. after
    6·2 answers
  • 5 cm <br> 8 cm <br> I hate math
    15·1 answer
  • Please answer ASAP! Plz I’m begging I really need this correct or my mum will be very very mad
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!