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
OLga [1]
3 years ago
13

A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered

to be 86% reliable. In other words, if an individual lies, there is a 0.86 probability that the test will detect a lie. Let there also be a 0.070 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions.
a. What is the probability of Type I error? (Round your answer to 3 decimal places.)


Probability


b. What is the probability of Type II error? (Round your answer to 2 decimal places.)


Probability
Mathematics
2 answers:
zhannawk [14.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

a) The probability of a Type I error in a lie detection test would be the probability that the lie detection machine incorrectly detected lie for the truth tellers. This is already given in the problem as 0.07.

Therefore,

P(Type-I) = 0.07

Therefore 0.07 is the required probability here.

b) The probability of a Type II error in a lie detection test would be the probability that the lie detection machine incorrectly detected truth for the the people who are actually liars. This is thus 1 - reliability.

P(Type-II) = 1 - Reliability = 1- 0.86 = 0.14

Therefore 0.14 is the required probability here.

STatiana [176]3 years ago
6 0

Answer:

a) 0.070

b) 0.14

Step-by-step explanation:

Given that the tests are 86% reliable, i.e a probability of 0.86 a lie would be detected.

Probability of error = 0.070

a) For type I error, we have:

The probability of a type I error in this lie detector is the probability that the test erroneously detects a lie even when the individual is actually telling the truth, i.e

P(type I error) = P(rejecting true null)

= 0.070

b) The probability of a Type II error this lie detectot is the probability that the test erroneously detected truth insteax of lie.

i.e = 1 - reliability

P (Type II error) = P(Failing to reject false Null)

= P(Not detecting a lie)

= 1-0.86

= 0.14

You might be interested in
Don't answer if you don't know
SIZIF [17.4K]
0.10d + 0.25q = 3.55
q = d + 3

0.10d + 0.25(d + 3) = 3.55
0.10d + 0.25d + 0.75 = 3.55
0.10d + 0.25d = 3.55 - 0.75
0.35d = 2.80
d = 2.80/0.35
d = 8.....8 dimes

q = d + 3
q = 8 + 3
q = 11 <=== 11 quarters
3 0
3 years ago
Divide and simplify.
balandron [24]
The last one is the correct one.


8 0
3 years ago
What is the probability that a marble chosen at random is
Brums [2.3K]

Answer:

P=\frac{6}{11}

Step-by-step explanation:

The probability can be defined as the ratio between the possible events and the total number of outcomes.

In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.

Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.

Therefore, the probability is

P=\frac{6}{11}

The right answer is the last choice.

4 0
3 years ago
Read 2 more answers
X=3m/2-m <br><br>make m the subject of the formula<br>help me plss
wel

Answer:

2X/(3+X)

Step-by-step explanation:

X = 3m/2-m

Cross multiply both sides

X × (2-m)= 3m

2X-Xm= 3m

2X= 3m+Xm

2X= m(3+X)

Divide both sides by the coefficient of m which is (3+X)

m= 2X/(3+X)

8 0
3 years ago
Giving Brainliest!! I just need a pdf/answers to this worksheet, my friends and I are very desperate
Verdich [7]

Answer:

answer down below

Step-by-step explanation:

11.h=-5 12.k=7.8

13.y=-4 14.h=36

15.v=18 16.c=-32

17.k=8 18.x=-29

19.m=28 20.v=11

6 0
2 years ago
Other questions:
  • 7 is ten times the value of?
    8·2 answers
  • Find the domain of the function:<br>f (x) = 2x/x^2-4<br>​
    7·1 answer
  • How do you multiply letters
    8·1 answer
  • write the eqaution in slope intercept form of the line that has a slope of 2 and contains the point (4,2)
    15·1 answer
  • Kim's class voted on a location for a field trip. 3/4 of the class voted for the museum. 1/8 of the class voted for the zoo. The
    14·1 answer
  • I don’t understand how to do 1 a.
    14·1 answer
  • I need help. 2/7 of _ is 14?
    7·1 answer
  • What does this mean, what does the negative sign in front of the parenthesis mean? -2= -(n-8)
    13·1 answer
  • . Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores
    7·1 answer
  • the length of a rectangle is 8 units greater than its width . find the dimensions when its area is 105 square units.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!