Mathematics College

Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy

Answers

Answer 1

Answer:

The large sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]

Cross multiplication , we get

[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]

√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]

squaring on both sides , we get

n = 117.07

Final answer:-

The large sample n = 117.07

Related Questions

Solve the right triangle.
Round your answers to the nearest tenth.

Answers

Answer:

b= 16.6

B= 46 degrees

c= 23

Step-by-step explanation:

What number is 120% of 16?

Answers

Answer:19.2

Step-by-step explanation:

find the tax sales on item divide the price of the item by 20 write an algebraic expression to find the sales tax on an item that cost three dollars find the sales tax on a television that cost $800

Answers

Answer:

Step-by-step explanation:

tax = 1/20 of price

1/20 of $3 = 1/20 × 3 = 3/20 = $0.15

1/20 of $800 = 1/20 × 800 = $40

AABC is reflected across the x-axis.
What is the new location of point B?
0 (-4,-2)
0 (4, -2)
O (4,2)
0 (-4,2)

Answers

The answer is (4,2)

This is because when every anything is reflected over the x-axis the coordinate goes from (X,Y) to (X,-Y). Since the original coordinate is (4,-2) the new coordinate is (4,2).

Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?

Answers

A 10% tip would be $7.50, so a$7 tip is too little

Answer:

a $7 tip is too little

Step-by-step explanation:

Amanda has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number
of grapes. Mark all that apply.
8 to 5
8:13
F8
13

Answers

Answer:

8 to 5

dassit

Step-by-step explanation:

bc for every 5 graped u hv 8

Plz guys help I need help

Answers

Answer:

I'm gonna say C hopefully

Answer:

answer C is correct answer if wrong sory

Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?

Answers

Answer:

105 hopefully this helps you

If you had $20 US, estimate how many Yen and Pounds you would have. Show your work.
please help

Answers

I’m not trying to scam you I’ll do the work but can you give more details

Answer:

$20 USD equal 2094 JPY

Step-by-step explanation:

The distance a vehicle travels can be found by using the formula d = rt, where d is the total distance traveled, r is the rate of speed, and t is the amount of time spent traveling. Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour. To the nearest hour, how many hours does she spend driving?

Answers

Answer:

She spends 2 hours driving.

Step-by-step explanation:

The formula given is:

[tex]d = rt[/tex]

In which d is the distance traveled, r is the rate of speed, and t is the amount of time spent traveling.

Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour.

This means that [tex]d = 80, r = 50[/tex]

To the nearest hour, how many hours does she spend driving?

We have to find t. So

[tex]d = rt[/tex]

[tex]50t = 80[/tex]

[tex]t = \frac{80}{50}[/tex]

[tex]t = 1.6[/tex]

Rounding to the nearest hour

She spends 2 hours driving.

What are the coordinates of the point on the directed line segment from (-7, 10) to
(-2,-5) that partitions the segment into a ratio of 2 to 3?

Answers

line segment from (-10,-3) to (1,7)
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866

Which expression represents the sum of n and 7 multiplied by 3? *
1. n + 7 x 3
2. (n + 7) x 3
3. (n + 7) ÷ 3
4. (n - 7) x 3

Answers

Answer:

Step-by-step explanation:

(n+7)×3

Answer:

1. n + 7×3

Step-by-step explanation:

The sum of n and 7 multiplied by 3:

n + 7×3

It is option 1

This is a tricky one but when reading carefully we see there is nothing that adds n to 7 before multiplying by 3, therefore it reads as n plus ( 7 multiplied by 3).

Find the product of (1)(3)(x).
Your
answer

Answers

Answer:

2/5.

Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.

Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.

Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.

Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15

Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5

Points C, A, and Bare collinear
How many labeled points are between points A and D?
zero
one
two
an infinite number

Answers

I think it’s zero, c is too far in the left and b lies below the two

e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e
e

Answers

Answer:

its c because 1/4 of a dollar is 25 cents 1/2 of a dollar is 50 cents meaning kendall has 18.50$ and Joshua has 18.25

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.

Answers

Answer:

the answer would be 49

Step-by-step explanation:

they need to sell 49 to get their money back and make the 400 dollar goal

What is the median of the following data set?
{13, 18, 13, 14, 13, 16, 14, 21, 13}
A. 13
B. 13.5
C. 14
D. 15

Answers

I think that the question should have asked mode so mode is A 13

The median of the data is 14

What is median?

The median is the middle number in an ordered data set.

Given:

{13, 18, 13, 14, 13, 16, 14, 21, 13}

First all the data according to ascending order, we get

13, 13, 13, 13, 14, 14, 16, 18, 21

So, the median is the 5th term which is 14.

Learn more about median here:

https://brainly.com/question/17126196

#SPJ2

what is the deep meaning of slope

Answers

Step-by-step explanation:

the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

The RMS Titanic has 2,224 people on board ship (including children). There was only enough lifeboat space for 1.178 people.
What is the probability of survival? List as a whole percent

Answers

Answer:31.6

Step-by-step explanation: 31.6 percent survived and 53.4 could have!

82 - 2x - 10 factor each polynomia
l

Answers

the answer to that equation is =2(36 - x) i’m pretty sure

PLZ HELP ME What shape is this cross-section?

Answers

Answer:

i'm not sure if i'm right but think is cube

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?

Answers

14-3=11, The answer is 11

Answer:

well I have this question too if you are doing amplify math so I got the soulutions x+3=14 and x=14-3.

Step-by-step explanation:

And for the x= part its x=11

What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27

Answers

Answer:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

A=lw
So 12*15=180

The answer is c

Helppppppp pleaseee I’m confused

Answers

Answer:

I guess u turn it into fraction from i think

You turn 7/55 into a decimal to get your answer

When completely factored, 8x + 2y - 4

Answers

Answer:...

-4+8x+2xy

Step-by-step explanation:

at total of 2 feet of snow falls over three days on the first day 1/6 of the snow falls on the second day 7/12 of the snow falls

PLZZ HELPP

Answers

Answer:

[tex]Day\ 3 = 1\frac{3}{12}[/tex]

Step-by-step explanation:

Given

[tex]Total = 2ft[/tex]

[tex]Day\ 1 = \frac{1}{6}[/tex]

[tex]Day\ 2 = \frac{7}{12}[/tex]

Required

Determine the amount of snow on day 3

This can be calculated using:

[tex]Day\ 1 + Day\ 2 + Day\ 3 = Total[/tex]

Substitute values for the known parameters

[tex]\frac{1}{6} + \frac{7}{12} + Day\ 3 = 2[/tex]

Collect Like Terms

[tex]Day\ 3 = 2 - \frac{1}{6} - \frac{7}{12}[/tex]

Take LCM

[tex]Day\ 3 = \frac{24 - 2 - 7}{12}[/tex]

[tex]Day\ 3 = \frac{15}{12}[/tex]

Express as mixed number

[tex]Day\ 3 = 1\frac{3}{12}[/tex]

Please answe number 1 PLEASE

Answers

Answer:

i believe the answers D

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

pls help me i neeed it first to answer gets a brainliest

Answers

Answer:

Step-by-step explanation:

Its counting up by 10 and going up by 2

Answer:

its c

Step-by-step explanation:

Can someone please urgently help me with this

Answers

Answer:

£ 268.2

Step-by-step explanation:

495(1/3)+124(0.5)+(495(2/3)-124)(0.2)=165+62+41.2

=268.2

Answer: £268.20

Step-by-step explanation:

1/3 of 495 is 165.

124 x .50 = 62.

165 + 124 = 289

495 - 289 = 206

206 x .20 = 41.20

165 + 62 + 41.20 = 268.20

Please help!!!!!!!!!!!!!!!!!!!!!

Answers

Collect like terms:
You have 2 with mn so 9mn - 9mn =0
You also have 2 with m4n so -19m4n - 12m4n = -31m4n
Put it together:
-31m4n -8m2
So C
Let me know if you have any questions

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