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
sammy [17]
2 years ago
8

Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic

e on 400 multiple-choice questions on a variety of AP exams1 shows that B was the most common correct choice, with 90 of the 400 questions having B as the answer. Does this provide evidence that B is more likely to be the correct choice than would be expected if all five options were equally likely? Show all details of the test. The data are available in APMultipleChoice.
Mathematics
1 answer:
Semenov [28]2 years ago
7 0

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

You might be interested in
When solving a system of equations by substitution, what is meant by a useless result (12=12)?. a.. parallel lines. c.. inconsis
Montano1993 [528]
<span>When solving a system of equations by substitution, meant by a useless result of (12=12) is no solution. The answer is letter B, the equation has no solution because it can have infinite solution. I hope the answer helps, thank you for posting your question here. </span>
4 0
3 years ago
Read 2 more answers
How do i complete this with quadratics?
Bond [772]
I hope this helps you



log6 [x. (2x-7)]=log6 (6^2)


x. (2x-7)=36



2x^2-14x-36=0

2x +4



x -9


(2x+4)(x-9)=0


x= -2


x=9





7 0
3 years ago
8th grade - geometry
Cloud [144]
What are you trying to prove here? I know when step will be the use of the Transitive Property. If a=b, and b=c, then a=c.
8 0
2 years ago
a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no
Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

Port to Radar station = 2 miles

Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

x = 6.25 miles

By sine rule we have

\frac{sin A}{a} = \frac{sin B}{b}

Therefore,

\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}

α = Angle between radar and ship α

∴ α = 58.052

Where we put

\frac{sin 45}{6.25} = \frac{sin \alpha }{x} to get

\frac{x}{6.25} = \frac{sin \alpha }{sin 45} and differentiate to get

\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt}  }{sin 45}

\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt}  }= 3.208 degrees/second = 0.05599 rad/sec.

6 0
3 years ago
In the number 4105 how many significant figures​
Alekssandra [29.7K]

Answer:

There are 4 significant figures in the number 4105

Hope this helps!

Mark me brainliest if I'm right :)

5 0
2 years ago
Read 2 more answers
Other questions:
  • Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3
    6·1 answer
  • Damian is paid $1,980 monthly. What is his annual salary?
    10·2 answers
  • Which point represents the approximate location of 90 ? A) point A B) point B C) point C D) point D
    12·1 answer
  • Frances has 4 square baking dishes. Each pan is 7 inches × 7 inches × 2 inches. Which expression will give her the total volume
    10·1 answer
  • Please can someone help
    7·1 answer
  • PLEASE HELP ):
    13·1 answer
  • What's the solution for y+1/2=3/4
    15·1 answer
  • Pls explain ASAP <br> Thanks
    9·2 answers
  • Y=4x+5 cuando x=9 <br> Porfavor es para hoy
    12·2 answers
  • Find the total surface area of the net below.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!