Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required

Answers

Answer 1

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

37% of freshmen do not visit their counselors regularly.

This means that [tex]\pi = 0.37[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2[/tex]

[tex]n = 1030.4[/tex]

Rounding up:

A sample size of 1031 is required.


Related Questions

Plzzz help as soon as possible

Answers

the y-axis is up and down and the x is side to side. the middle point where the dark lines intersect is (0,0) the -negative points are to the left and below the line and the positive points are to the right and above the line

Identify the null and alternative hypothesis in the following scenario.

To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with unknown standard deviations.

a. H0:μ1≥μ2; Ha:μ1<μ2
b. H0:μ1≤−μ2; Ha:μ1>−μ2
c. H0:μ1≥−μ2; Ha:μ1<−μ2
d. H0:μ1=μ2; Ha:μ1≠μ2
e. H0:μ1≤μ2; Ha:μ1>μ2

Answers

Answer:

H0 : u1 = u2 ;  H1 : u1 ≠ u2 , or specifically u1 > u2  

Step-by-step explanation:

Null Hypothesis is the neutral hypothesis , stating no difference from assumed value,  (or in this case no difference between both batteries' mean life)

Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)

Let mean life of battery 1 & battery be b = u1 & u2 , respectively.

Null Hypothesis  [ H0 ] : u1 = u2

Alternate Hypothesis  [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }

What is the first step in constructing an angle

Answers

Answer:

Step 1: Draw the arm PQ.

Step 2: Place the point of the compass at P and draw an arc that passes through Q.

Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.

Step-by-step explanation:

Step 1: Draw AB of any length. Step 2: Place the centre of the protractor at A and the zero edge along AB. Step 3: Start with zero near B. Mark point C at 40°.

Which symbol correctly compares the two angle measures?
I radians
30°
O
A.
B. <
C. >

Answers

I think the answer is b

Answer:

C. >

Step-by-step explanation:

What’s the correct answer??? I will mark as brainlest

Answers

The answer should be A
3x

reason: the - (- makes positive. you add the x and 5x to get 6x, then subtract the -3x to get 3x :))

hope this helps

Find the missing length indicated
Please help, no links

Answers

Answer:

x = 48

Step-by-step explanation:

36/x = x/64

x² = 36 x 64 = 2304

x = √2304 = 48

What is 7,300,000 written in scientific notation?

Answers

Answer:

7300000 in scientific notation can be written as 7.3 x 10^6

Which statement describes the behavior of the function f(x)= 3x/4-x​

Answers

Answer:

-3

Step-by-step explanation:

i sarched it up

Answer is:)
( A ) just did it on edge.

I WILL GIVE BRAINLIEST IF YOU HELP
Find the area of the polygon below in square units.

Answers

Answer:

20 square units

Step-by-step explanation:

this polygon is a trapezoid

the formula to find the area is 1/2(b1+b2)h

If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units

when you plug that into the calculator you get

1/2(6+4)4 = 20 square units

Is the expression 3x+2 a binomial?

Answers

Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .

Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.

Answers

answer:

step-by-step explanation:
7/200 of them were defective
7/200 = 0.035
193/200 of them were approved
193/200 = 0.965
y being the number of boxes approved
x being to amount of time
y = 0.965x - 0.035

Which of the following is an example of a sample that would NOT be random? A. Going through the list and choosing the first 25 names on the list. B. Writing each student’s name on a card and then drawing out 25 names without looking. C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names. D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y
B (7,-3)
C(6,-)
A (4,-9)
What is the y-coordinate of point C?
OA – 4
OB. –S
C. -6
D.-7

Answers

Answer:

c, -6

I hope this helps you

Determine if the following probability is experimental or theoretical.
Abbey threw 10 foul shots and made 6 of them. What is the probability Abbey will make her next shot?
A)Experimental
B)Theoretical

Answers

Theoretical because she hit more than half she just needs to hit a couple more to get that perfect score

f(x) = 2x3 - 3x2 + 5
g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14

Answers

Answer:

(f - g)(x)  = -x³ -5x² + 4x + 14

Step-by-step explanation:

        f(x) = 2x³ - 3x² + 5

       g(x) = 3x³ + 2x² - 4x - 9       subtract

(f - g)(x)  = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)

(f - g)(x)  = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)

(f - g)(x)  = (-1)x³ + (-5)x² + (4)x + (14)

(f - g)(x)  = -x³ -5x² + 4x + 14

Need help quick just the answer

Answers

it is c

if you need an example  tell me in the comment

6. What percent of 24 is 12?
Answer plsss

Answers

I think it would be half or. 50

Answer:

50%

Step-by-step explanation:

To find our answer will will first put it into an equation as  [tex]\frac{100}{x}[/tex] × [tex]\frac{24}{12}[/tex].  Because we are cross multiplying we will multiply 100 by 12 and we get 1,200.  Now because we are solving for x we will divide 1,200 by 24, which is 50%.  Therefore, 50% is our answer.

help asap pls! (Apply PEMDAS if needed)

Answers

Answer:

10

Step-by-step explanation:

You just plug x into the expression and then you simplify:

30-2^2*x+12÷3

We know that x=6

30-(2^2)(6)+12/3

30-(4)(6)+4

30-24+4

10

A block of wood is 2.5 feet long, 0.5 feet wide, and 0.25 feet tall. It weighs 16.5 pounds.
To the nearest pound, what is its density in pound per cubic feet?

Answers

Answer:

Density = 52.8 pound per cubic feet.

Step-by-step explanation:

Given the following data;

Length = 2.5 feet

Width = 0.5 feet

Height = 0.25 feet

Mass = 16.5 pound

To find the density of the wood;

First of all, we would determine the volume of the wood.

Volume = length * width * height

Volume = 2.5 * 0.5 * 0.25

Volume = 0.3125 cubic feet

Next, we find the density;

Mathematically, density is given by the formula;

Density = mass/volume

Substituting into the formula, we have;

Density = 16.5/0.3125

Density = 52.8 pound per cubic feet.

Juliette won her 400m race in a time of 1:01.71. If she ran the 1500m at the same rate,
approximately how fast would she run the race?

Answers

Answer:

230.77 seconds or about 3.85 minutes (2 minutes 50.4 seconds)

Step-by-step explanation:

First I will convert the minutes into seconds to make this a little easier.

1:01.71 would just be 61.71 seconds

400/61.71 is her speed for the first race. (speed is distance/time)

That is approximately 6.5 meters per second

time is distance/speed

1500/6.5= 230.769...

I do not know what you need to round to, but Juliette would take 230.769 seconds to run the 1500 meter race.

Can anyone help me out here !

Answers

Okay, so we’ll use sin in this case. You could use cos too, I just like sin. Sooo

sin(?) = 39/89
? = sin^-1(39/89) <— make sure you calculator is in degrees mode, not radians when doing this calculation!
? = 25.989° ≈ 26°

Please help i need the MAD what ever that means

Answers

Answer:

what is the MAD??????????

Step-by-step explanation:

Answer:

Answer depends on the data (not provided in your question)

Step-by-step explanation:

MAD stands for mean absolute deviation.  The definition gives clues as to how to find it.

Deviation refers to how far a number is from the mean (average) of the data

Example:  For the data  -12, 4, 12, 16, the mean of the data is (-12+4+12+16)/4 = 5.

Data  Absolute Deviation from mean

-12      |-12 - 5| = 17

 4       |4 - 5| = 1

12       |12 - 5| = 7

16       |16 - 5| = 11

Mean Absolute Deviation (MAD)

(17 + 1 + 7 + 11) / 4 = 9

YO SOMEONE HELP MEEE

Answers

Answer:

x= -14

Step-by-step explanation:

answer: x= -14

explanation:

the diagram shows a parallelogram. what is the value of x​

Answers

Answer:

Step-by-step explanation:

what

Answer:

where is the diagram

Step-by-step explanation:

There is a sequence of four Engineering classes that a student must pass to finish her major. Each class depends primarily on material learned in the previous class. Consider a student who will maintain good standing in these classes. An experienced advisor predicts that, if the student earns an A in one of these classes, she has probability .6 of an A in the next class in the sequence, .3 of a B, and .1 of a C. If the student earns a B in one of these classes, she has probability .25 of an A in the next class in the sequence, .55 of a B, and .20 of a C. If the student earns a C in one of these classes, she has probability .05 of an A in the next class in the sequence, .40 of a B, and .55 of a C. a) Write out the Markov transition matrix for how this student is expected to do in the next class in sequence after taking one of the classes. b) Find the probability that if a student earns a

Answers

Answer:

[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]

Step-by-step explanation:

using the given data in the question

a) The Markov transition matrix

[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]

Note : Column 1 = A,  column 2 = B,  Column 3 = C

Row 1 = A,   Row 2 = B and ROW 3 = C

b) Question is incomplete

Find the volume of the right cylinder in terms of pie.

Answers

Answer:

[tex] \Large{\boxed{\sf V = 192\pi \: m^3}} [/tex]

[tex] \\ [/tex]

Explanation:

The volume of a right cylinder can be calculated using the following formula:

[tex] \Large{\sf V = \pi \times r^2 \times h }[/tex]

Where:

V is the volume of the cylinder.r is the radius of the cylinder.h is its height.

[tex] \\ [/tex]

[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf r &=\sf 4 \: m \\ \sf h &=\sf 12 \: m \\ \end{cases} } [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf V = \pi \times (4m)^2 \times 12m = \pi \times 16m^2 \times 12m \\ \\ \\ \implies \boxed{\boxed{\sf V = 192\pi \: m^3 }} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the volume of a cylinder here:

↣https://brainly.com/question/6204273

Qadir has $400.56 in his Friendly Debit card checking account. He uses the card to pay $450.50 to fix his furnace. Four days later, he deposits $150.00 into his checking account. How much money will Qadir have left in his account when the money is taken out to pay for the repair?

Answers

Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.

Answers

Answer:

1. 144.4 m²

2. 120 m³

Step-by-step explanation:

The figure is composed of a triangular prism and a rectangular prism

1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)

✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L

b = 5 m

h = 2 m

s1 = 3.2 m

s2 = 3.2 m

s3 = 5 m

L = 6 m

Plug in the values

Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6

= 10 + (11.4)*6

= 78.4 m²

✔️Area of rectangular prism = 2(LW + LH + WH)

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Area of rectangular prism = 2(6*5 + 6*3 + 5*3)

= 126 m²

✔️Area of the face joining both figures = L*W

L = 6 m

W = 5 m

Area = 6*5 = 30 m²

✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)

= 48.4 + 96

= 144.4 m²

2. Volume of composite figure = volume of triangular prism + volume of rectangular prism

= ½*a*c*h + L*W*H

a = 2 m

c = 5 m

h = 6 m

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Volume = ½*2*5*6 + 6*5*3

Volume = 30 + 90 = 120 m³

Which graph below shows a system of equations with one solution?

1 and 2

Answers

Answer: the Second one

Step-by-step explanation:

Hope this helps you

Anita opened a savings account and deposited $600.00 as principal. The account earns 6% interest, compounded continuously. What is the balance after 1 year?
Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent. ( help please)

Answers

Answer:

$637.10

Step-by-step explanation:

Given:

P = 600

r = 6% or 0.06

t = 1

Work:

[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]

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