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just olya [345]
3 years ago
6

a researcher at a major clinic wishes to estimate the proportion of the adult population of the united states that has sleep dep

rivation. how large a sample is needed in orde to be 98% confident that the sample proprtion will not differ from the true proprtion by more than 5%?
Mathematics
1 answer:
Anna11 [10]3 years ago
5 0

Answer:

The estimate of a population proportion is approximately 541.

Step-by-step explanation:

We can solve the the problem by using the formula for minimum sample needed for interval estimate of a population proportion which is given by the formula

n = pq ((Z/2) / E)^2

As, p is not defined so we use the standard p and q which is 0.5 and 0.5.

The reason for this is we have to choose form 0.1 to 0.9 both values of p and q, we will find the maximum value of pq occurs when they both are 0.5.

Next, we will find the value of (Z/2) by looking at the Z-table, we will find that at 98% confidence (Z/2) = 2.326. Now we start substituting the values in the above formula

n = (0.5)×(0.5) × (2.326/0.05)^2

n = 541.027

n ≅ 541.

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Munari bought a computer for 35% off the list price. If the list price is $3,500, how much did he spend?
mixas84 [53]

Answer:

2275

Step-by-step explanation:

list price * discount rate = discount

3500 *35% = discount

Change to decimal form

3500 *.35 =1225

list price - discount = sale price

3500-1225 =2275

He will spend 2275

5 0
2 years ago
Read 2 more answers
Find value of 8.3x24.2x0.03 round to nearest hundredth
Darina [25.2K]
When multiplying them out you get:
6.0258
but rounded to the nearest hundredth you'd get:
6.03
4 0
3 years ago
Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old
erik [133]

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

3 0
3 years ago
Point F is on circle C. What is the length of line segment GF?
Levart [38]
The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?

12.5  units
15.0  units
17.5  units
20.0  units

according to the image, GF= GC + CF

CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem

that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )

GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0  units

8 0
3 years ago
Read 2 more answers
A rectangular prism has a volume of 600 cubic inches.
choli [55]

Answer:

The length is 12 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by:

V=LBH

It was given that; the rectangular prism has a volume of 600 cubic inches.

The height of the prism is 5 inches and the width is 10 inches.

We want to find the length of the rectangular prism.

We substitute V=600, H=5,and W=10 into the formula:

600=5×10×L

600=20L

L =  \frac{600}{50}

L = 12in

6 0
2 years ago
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