Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.

Answers

Answer 1

Answer:

The minimum sample size required is 97.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this confidence interval is:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, z = 1.96.

Compute the minimum sample size required as follows:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]

Thus, the minimum sample size required is 97.


Related Questions

what is 75 percent of 225? 30 57.25 75 168.75

Answers

Answer:

168.75

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

168.75

Step-by-step explanation:

Multiply 0.75 and 225 together

(0.75 = 75%)

0.75(225) = 168.75

So 168.75 is 75% of 225

Hope this helped :)

Brainliest?

If you flip 3 coins what is the probability of NOT getting three Heads? P(not getting 3 Heads)​

Answers

Answer:

Yeah im sure you wont get 3 heads for all coins it would usually be like 1 tails, 2 tails or 3 tails :/?

Step-by-step explanation:

-6n + 3= 45
how do you solve this

Answers

Answer:

n= -7

Step-by-step explanation:

subtract 3 from both sides,-6n=42,divide both sides by -6

Answer:

[tex]\boxed{n = - 7}[/tex]

Step-by-step explanation:

[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]

PLZ HELP!!!! WILL MARK BRAINLEST IF CORRECT

Answers

Answer: the answer is 54

Step-by-step explanation: The error in the expression was that it was multiplied by 1 so it can't be one unless it was also 1 and it's not it is 54.

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6

Answers

Answer: y = x/4 + 2

Y equals one fourth x plus two.

Step-by-step explanation:

There seems to be a typo on answer choice c.

Slope intercept form is y= mx + b

m is the slope. b is the y-intercept.

The y-intercept is given here in the coordinate (0,2) It is +2

Slope is rise/run.

Rise: Difference in given y-values is 4-2 = 2.

Run: Difference in x-values is 8-0=8.

So the slope is 2/8 = 1/4

The equation is y = 1/4 x + 2

Alonso multiplied the fractions 312and (−414) and got a product of −1218. Describe the mistake that Alonso made. What is the correct product?

CAUTION: I NEED HELP!!!!!!

Answers

Sorry I thought I was gonna understand but I don’t but good luck:) you can do it

Please help with both and leave a small explanation! I wanna double check my answers!

Answers

Answer:

(1)Hoops shadow would be 6 ft (2) model would be 3 cms

Step-by-step explanation:

9 / 3 = 3   3 x 2 = 6 ft

15 / 5 =3    3 x 1 = 3 cm

which rule best described the following pattern 5,6,15,16,25,26,35​

Answers

The pattern is increasing by 10 then a ding 1 to the next number. Hope this helps! :)

I need help with 10 please!!!!!!!

Answers

From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)

That means cut ( b ) and ( d ) choice, they both are wrong.

Now look at ( a ) and ( c ).

For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2).   f(x) = -2x is just slope and intercepts y-axis at (0,0)

So the answer is ( c )

PLEASE HELP ASAP!?!?!?!?!!!?!?!?!?!?!?!

The diameter of a pizza is 13 1/4 inches what is the length in inches of the diameters of 6 pizzas?

Answers

Answer:

79.5

Step-by-step explanation:

Which equation represents the following word problem? Grace is making a cake. The recipe calls for 21/2 cups of flour. If she has already added 3/4 of a cup into the bowl, how much more flour will she need to add? Let x be the number of cups she needs to add.
A) x+3/4 = 22/2
B) x-3/4=27/2
C) 3/4x = 21/2
D) X/13/4)​

Answers

Answer: c

Step-by-step explanation:

3/4x = 21/2

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour

Answers

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

1 +1 = ???????????????????????????

Answers

Answer:

IT 2

Step-by-step explanation:

A number decreased by 22 is 44. Which equation can be used to solve this problem

Answers

Answer:

44+22=x or x-22=44

Step-by-step explanation:

X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.

Hope this helps please mark brainliest :D

Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

Answers

Answer:

Its area is 370 square centimeters.

Step-by-step explanation:

i need help with this ^

Answers

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract  it and it's 3?

Julie sent 200 emails last month. This month she sent 40% less. How many
emails did she send this month?

Answers

Answer:

She sent 120 emails this month.

Step-by-step explanation:

Multiply 200 by .60 (60 percent) and it will give you 120.

I used 60 instead of 40 because the problem said 40 percent less, NOT 40 percent of 200.

brainliest will be given if correct

Answers

Answer:

10

Step-by-step explanation:

im not sure if its correct but area is the area around the trapezoid and i added them

A game uses a single 6-sided die.

To play the game, the die is rolled one time, with the following results:

Even number = lose $10
1 or 3 = win $3
5 = win $8

What is the expected value of the game?

Answers

45$ since there are 3 even numbers so 3x10= 30 and 1&3= 6 1 five which is 8. Now we add 30+6+8

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?

Answers

Answer:

y=4x-10

Step-by-step explanation:

Piper used 1/5 meter of ribbon to create a border around a triangle if each side of the triangle is the same length how much ribbon did Piper use for each side?

Answers

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

[tex]x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}[/tex]

Please help fast!! Is this a function?

Answers

Answer:

It's not a function..

Step-by-step explanation:

Just take a look at it.

what did u studied about functions before doing this type of problem in math?

Does it look like it? no.

Answer:

That looks very hard .. sorry :(

Step-by-step explanation:

Write the next three terms: 7,10,13,16,

Answers

Answer:

7,10,13,16,19,21,24,27

Step-by-step explanation:

Add 3 every time

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Rewrite the expression in the form a^n

Answers

Answer:

a7/5

Step-by-step explanation:

24% of 72 is what number? (will mark brainliest for full explanation)

Answers

Answer:

300

Step-by-step explanation:

Answer:

17.28

Step-by-step explanation:

Multiply 72 by .24, .24 being 24% because it is 24 out of 100.

I need help with whole thing teacher is putting pressure on me and I have a 10 in her class

Answers

Answer:

So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.

So when it says X -4

                          Y 5

Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)

Step-by-step explanation:

I really hope this helps you its hard to describe over type:(

Good luck:))

help meeeeee plsssss

Answers

Answer: 0.57
It’s out of 100, so it’s 57 hundredths

How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?

Answers

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

A train travels 558 miles in 3 hours. At this rate, how far does the train travel
in 6 hours?
186 miles
O 1,674
0
1,116 miles
O 18 miles

Answers

Answer:

the answer is 1,674

Step-by-step explanation:

because if 3hours in 558 miles you multiply the 3hours in 558miles and the answer is 1,674

e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.

Answers

Answer:

Step-by-step explanation:

Let width of rectangle =X

So length=5x

Given area of rectangle =320inch

Area of rectangle =length ×width

Length×width=320

5X×X=320

5x^2=320

x^2=320/5

x^2=64

So X=√64

Width x= 8inch

Length 5x=5×8

= 40 inch

Perimeter of rectangle =2(length+width)

=2(40+8)

=2(48)

=96inch

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