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
qaws [65]
4 years ago
10

The proportion of items in a population that possess a specific attribute is known to be 0.40. If a simple random sample of size

100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.46​, what is the sampling​ error?
Mathematics
1 answer:
WARRIOR [948]4 years ago
5 0

Answer:

The sampling error =  0.06

Step-by-step explanation:

From the given information:

Let represent \beta to  be the population proportion = 0.4

The sample proportion be P = 0.46   &

The sample size be n = 100

The population standard duration can be expressed by the relation:

Population standard duration \sigma = \sqrt{\dfrac{\beta(1- \beta)}{n}}

\sigma = \sqrt{\dfrac{0.4(1-0.4)}{100}}

\sigma = \sqrt{\dfrac{0.4(0.6)}{100}}

\sigma = 0.049

The sample proportion = 0.46

Then the sampling error  = P - \beta

The sampling error  = 0.46 - 0.4

The sampling error =  0.06

You might be interested in
Y less then x squared minus 5x plus 4
sasho [114]
Are you sure its Y? Maybe you mean to put 0
4 0
3 years ago
Which best completes the following sentence? Triangles are congruent if they have the same
bagirrra123 [75]

Answer:

same sides and angles

Step-by-step explanation:

6 0
3 years ago
Two teaching methods, A and B, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if m
Mkey [24]

Answer:

(a) Shown below.

(b) Shown below.

(c) The probability that a person does not learn Spanish is 0.18.

(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.

Step-by-step explanation:

(a)

Consider the provided data.

P(A)=0.20\\P(B)=0.80\\P(L|A)=0.70\\P(L|B)=0.85

Then the probability of not learning Spanish using the respective methods are:

P(L'|A)=1-P(L|A)=1-0.70=0.30\\\\P(L'|B)=1-P(L|B)=1-0.70=0.15

(b)

The Probability Tree representing each of the probabilities mentioned above is attached below.

(c)

Compute the probability that a person does not learn Spanish as follows:

P(L')=P(L'|A)P(A)+P(L'|B)P(B)

         =(0.30\times 0.20)+(0.15\times 0.80)\\\\=0.06+0.12\\\\=0.18

Thus, the probability that a person does not learn Spanish is 0.18.

(d)

Compute the probability that method B was used given that a student learned the Spanish successfully as follows:

P(B|L)=\frac{P(L|B)P(B)}{P(L|A)P(A)+P(L|B)P(B)}

            =\frac{(0.85\times 0.80)}{(0.70\times 0.20)+(0.85\times 0.80)}\\\\=\frac{0.68}{0.14+0.68}\\\\=0.82927\\\\\approx 0.83

Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.

3 0
3 years ago
nolan works at a sandwich shop. he needs to make 7 turkey sandwiches. each sandwich has 1/3 of a pound of turkey. how many pound
FromTheMoon [43]

Turn 7 into a fraction so it can be multiplied. > 7/1

Multiply 7/1 by 1/3.

7/1 × 1/3 = 7/3

Simplify 7/3 into a mixed number.

7/3 = 2 1/3

Nolan will need 2 1/3 lbs of turkey.

7 0
4 years ago
Read 2 more answers
Eight less than four times the sum of a number and 3 is 16
vovangra [49]

the number is 6.....

5 0
3 years ago
Other questions:
  • What is the relationship between 0.04 and 0.004
    10·1 answer
  • C-3+2×-6×+4× show me the answer
    10·1 answer
  • Which is the best approximation of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B110%7D%20" id="TexFormula1" title=" \sqrt{
    10·1 answer
  • A. $264.08<br>B. $316.89<br>C. $373.23<br>D. $454.21
    13·2 answers
  • multiply the polynomials. What is the coefficient of the last term? −4m(2m3 −6m2 + m − 5) = −8m4 +24m3 −4m2 ___m
    14·2 answers
  • Mr. Lou paid $150.00 for 60 square
    11·1 answer
  • Round 19 and 17 to the nearest tenth
    12·1 answer
  • I need help fast please!!!!!
    9·2 answers
  • Which situation can be represented by the expression 1.3x? O The total cost of an item that is x dollars more than $1.30 A OB Th
    11·1 answer
  • Calculate the volume of a cylindrical steel bar which is 8 cm long and 3.5 cm in diameter ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!