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Neko [114]
3 years ago
10

Round to the whole number 2.8457

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0
3.0? pretty sure that’s the answer
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A given population proportion is .25. What is the probability of getting each of the following sample proportions
anyanavicka [17]

This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)

Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

a)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)

= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

= P[ Z < -0.04 / 0.0413]

= P[ Z < -0.97 ]

from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

b)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )  

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754  ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 )  = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

6 0
3 years ago
5. Maria is tracking the number of miles she runs in one week. She is using the track at her
777dan777 [17]

Answer:

0.00310 miles

Step-by-step explanation:

Maria runs 5 m each week. We need to find how miles she run. It means we need to convert meters to miles. The relation between meter and yards is as follows :

1 meter = 1.09361 yards

Also, 1 mile = 1760 yards

It means,

1 mile = 1609.34 m

1 m = (1/1609.34) miles

5\ m=\dfrac{5}{1609.34}\ \text{miles}\\\\=0.00310\ \text{miles}

So, she will cover 0.00310 miles.

6 0
3 years ago
Does the following represent the Transitive Property?
Sauron [17]
No it does not. If q=b and b=t then q=t is the correct answer. 
7 0
3 years ago
Guys I need help please actually answer and explain! Will mark brainlest!
melomori [17]
23 I just need points
6 0
3 years ago
What's 2\5 =12/n solving proportions
gogolik [260]
<span>Cross multiply: 2 * n = 5 * 12
 
Simplifying 2 * n = 5 * 12
 
Multiply 5 * 12 2n = 60
 
Solving 2n = 60
 
Solving for variable 'n'.
 
Move all terms containing n to the left, all other terms to the right.
 
Divide each side by '2'. n = 30
 
Simplifying n = 30</span>
8 0
3 years ago
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