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Kamila [148]
3 years ago
15

A population proportion is . A sample of size will be taken and the sample proportion will be used to estimate the population pr

oportion. Use z-table. Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within of the population proportion? b. What is the probability that the sample proportion will be within of the population proportion?
Mathematics
1 answer:
padilas [110]3 years ago
6 0

Complete Question:

A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?

Answer:

A) 0.61351

Step-by-step explanation:

Sample proportion = 0.4

Sample population = 200

A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion

Statistically:

P(0.4-0.03<p<0.4+0.03)

P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200

P[-0.03/0.0346410 < z < 0.03/0.0346410

P(−0.866025 < z < 0.866025)

P(z < - 0.8660) - P(z < 0.8660)

0.80675 - 0.19325

= 0.61351

B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion

Statistically:

P(0.4-0.08<p<0.4+0.08)

P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200

P[-0.08/0.0346410 < z < 0.08/0.0346410

P(−2.3094 < z < 2.3094)

P(z < -2.3094 ) - P(z < 2.3094)

0.98954 - 0.010461

= 0.97908

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Pls answer quickly, thanks!!
dybincka [34]

At the equilibrium price p, we can solve for the quantity of goods x :

demand = supply

5200 - 0.0005x = 2800 + 0.0003x

2400 = 0.0008x

x = 3,000,000

With this quantity of goods, the equilibrium price is

p = 5200 - 0.0005 (3,000,000)

p = 5200 - 1500

p = 3700

7 0
2 years ago
I don't know what I'm doing wrong here, can anyone help?
Novosadov [1.4K]

if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

<h3></h3><h3>What is wrong with the graph?</h3>

When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.

In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

That is the only error with the graph.

If you want to learn more about piecewise functions:

brainly.com/question/3628123

#SPJ1

8 0
1 year ago
Calculate the area of a square with a side length of 12 cm.
inna [77]

Answer:

24 cm squared

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help with math it’s urgent thanks
Artemon [7]

Answer:

(1, 3)

Step-by-step explanation:

 2x + 3y =  11      ------------(i)

-4x + 2y = 2        ------------(ii)

Multiply equation (i) by 2.

(i)*2              4x + 6y = 22

(ii)               <u>-4x  + 2y = 2</u>                  {Now add and x will be eliminated}

                            8y = 24

y= 24/8

y = 3

Plugin the value of y in equation (i)

2x + 3*3 = 11

2x + 9 = 11

2x = 11-9

2x = 2

x = 2/2

x = 1

8 0
3 years ago
Griffin ordered a pair of sneakers online. He had a $17 credit that he applied toward the purchase, and then he used a credit ca
MrMuchimi
Well it would be 63$ if we are not including tax because 80-17=63
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