A random sample of 100 observations produced a sample proportion of 0.25. An approximate 95% confidence interval for the population proportion p is between?

a. 0.165 and 0.335
b. 0.165 and 0.321
c. 0.179 and 0.321
d. 0.207 and 0.293
e. 0.152 and 0.348

Answers

Answer 1

Answer:

The confidence interval for the population proportion p is between ( 0.165 and 0.335 )

Hence, Option a) 0.165 and 0.335 is the correct answer.

Step-by-step explanation:

Given the data in the question;

sample size n = 100

sample proportion p₀ = 0.25

q₀ = 1 - p₀ = 1 - 0.25 = 0.75

confidence interval = 95%

First we calculate our Standard Error

Standard Error = √( ( p₀ × q₀ ) / n )

we substitute

Standard Error = √( ( 0.25 × 0.75 ) / 100 )

Standard Error = √( 0.1875 / 100 )

Standard Error = √0.001875

Standard Error = 0.0433

Now, For 95% confidence interval; z = 1.96

so confidence interval for the population proportion p will be;

⇒ p₀ ± ( z × Standard Error )

we substitute

⇒ 0.25 ± ( 1.96 × 0.0433 )

⇒ 0.25 ± 0.084868

⇒ (  0.25 - 0.084868 ), (0.25 + 0.084868 )

⇒ (  0.25 - 0.084868 ), (0.25 + 0.084868 )

⇒ ( 0.165, 0.335 )

Therefore, The confidence interval for the population proportion p is between ( 0.165 and 0.335 )

Hence, Option a) 0.165 and 0.335 is the correct answer.


Related Questions

what is the value of 5.4
54 tenths
54 hundredths
54 ones
540 tenths

Answers

Answer:

The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.

Step-by-step explanation:

Hope this helps ❤️

Third option hope this helps

Slove for the value of m

Answers

Answer:

m = 6

Step-by-step explanation:

(8m+4) + 38 = 90 ( since they are complementary angles )

8m + 42 = 90

8m = 90 - 42

m = 48/8

m = 6

Answer:

38+8m+4=90 degree(being perpendicular)

42+8m=90

8m=90-42

m=48/8

m=6

Step-by-step explanation:

What are the values of a and b

Answers

Answer:

a equal to five.b equal to three

b=3

If you help me l will give you the brainlest ☑️☑️

Answers

Answer:

64 (if 4 x 4 x 4) or

12 (it could be any of them)

Step-by-step explanation:

Since "3" is related to l x w x h.

You can either do 4 x 4 x 4

or

4 x 3

It depends what formula (aka L x W x H).

Answer:

64

Step-by-step explanation:

= [tex]4^{3}[/tex]

= (4) * (4) * (4)

= 64

Hope this helps :)

Please answer number 5 for brainliest:)

Answers

The answer is 140 cups

What is the length of AC?

Answers

Hey
So the answer is 9cm

IF U GET CORRECT U GET BRAINLIEST

The last five houses built in town sold for the prices shown below. Find the mean price. Use pencil and paper. If a new house built in the town sold for $160,000, how would that affect the mean?

prices: $181,00; $187,00; $144,00; $176,00; $175,00

what is the mean price of the houses??

Answers

Answer:

172,600

Step-by-step explanation:

hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were

so 181,000+187,000+144,000+176,000+175,000=863,000

then divide by 5

863,000/5=172,600

hope this helped !

The other answer above is incorrect, the right answer is $17,260. after you get $86,300 you divide by 5

A child’s shoe box measures 4" by 6" by 3". What is the longest pencil you could fit into this box?

Answers

Answer:

5in

Step-by-step explanation:

Given data

Lenght= 4 in

Width= 6 in

Height= 3 in

Applying the Pythagoras theorem,

Let the longest pencil that could fit in be z

z^2= l^2+ h^2

z^2= 4^2+ 3^2

z^2= 16+9

z^2= 25

z= √25

z= 5 in

Hence the longest pencil is 5in

PLZ HELP NO LINK THIS IS EXTRA CREDIT BC IM FAILING OR I WILL HAVE NO SUMMER!!!!!

Answers

Answer:

Pretty sure its E sorry if I'm wrong I learned this like 2 years aho

d and f

I believe since the simplified expression is 4m+13 which would be d and that is also equal to what f is.

qqqqqqqqqnxkkakakzmmz

Answers

Answer:

If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

Ok, now we have all the equations.

We know that:

Sec(C) = 30/24

Then:

√(x^2 + y^2) = 30

x = 24

Replacing x in the first equation we get:

√(24^2 + y^2) = 30

y = √(30^2 - 24^2) = 18

Then we have:

x = 24

y = 18

√(x^2 + y^2) = 30

So we can just replace these in the equations:

Tan(C) = y/x = 18/24

Cos(C) = x/(√(x^2 + y^2)) = 24/30

Sin(C) = y/(√(x^2 + y^2)) = 18/30

Ctg(θ) = x/y = 24/18

Sec(θ) = √(x^2 + y^2)/x = 30/24

Csc(θ) = √(x^2 + y^2)/y = 30/18

Which of the following points represent the zeroes of the function y=x^2+9

Answers

the answer of this is -3,0 and 3,0

help please I need this as soon as possible ​

Answers

The answer is y= -2x+4 because if you look closely and carefully you cancer the negative 2 on the y axis

Can someone answer this question please

Answers

Answer:

118

Step-by-step explanation:

Answer:

118⁰

if it is across it is the same number

Solve proportion round it to the nearest hundredth

Answers

Answer:

7.7 = 2.3

3.6 b

7.7b= 8.28

7.7 7.7

b = 1.075324675

b = 1.08

A) If the last digit in the fractional part of 1.080 is less than 5, then simply remove the last the digit of the fractional part. With 1.080, rule A applies and 1.08 rounded to the nearest hundredth is:

If someone can help me with this I’ll mark you Brainlyest

Answers

Answer: For 1

B

Step-by-step explanation:

15,700/ 1/4= 15,700-3,925-3,000/12 =731.25

Write 40 % as a decimal and as a simplified fraction.

A.4.0 and 40/100
B. 0.40 and 2/5
C. 4,000 and 4,000/1
D. 0.40 and 40/100

Answers

Answer:

B. 0.40 and 2/5

[tex]40\% = \frac{40}{100} \\ = \frac{2}{5} \: and \: 0.4[/tex]

Answer:

B

Step-by-step explanation:

A and C are instantly eliminated since the decimal is wrong. B has the most simplified fraction of 40%.

A circle has a radius of 67 centimeters. What is its circumference in
terms of ?

Answers

Answer:

134π

Step-by-step explanation:

c = 2πr

c = 2π(67)

c = 134π

Circumference is pi x diameter
So 67 x 2=134
134pi is the circumference

Complete the equation of this circle:

If you can help that would be appreciated​

Answers

Answer:

(x-3)^2+(y-2)^2=16

Step-by-step explanation:

center is (3,2)

radius is 4

a candy machine holds 500 pieces of candy, 20%, percent of which are blue. customers get an srs of 4 pieces of candy per purchase from this machine. let b, equals the number of blue candies a customer gets in a purchase from a full machine. which of the following would find p(b=1)?

Answers

Answer:

p(b = 1) = 0.4096 = 40.96%

Step-by-step explanation:

For each candy, there are only two possible outcomes. Either it is blue, or it is not. The probability of a candy being blue is independent of any other candy. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% are blue

This means that [tex]p = 0.2[/tex]

Sample of 4

This means that [tex]n = 4[/tex].

Which of the following would find p(b=1)?

P(X = 1). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096[/tex]

So, p(b = 1) = 0.4096 = 40.96%

Answer: (4 1)(0.20)(0.80)^3

Step-by-step explanation:

Y=cosx what will will dy/dx be ​

Answers

9514 1404 393

Answer:

  y' = -sin(x)

Step-by-step explanation:

Your table of derivatives of trig functions tells you the derivative of the cosine is the opposite of the sine.

  dy/dx = -sin(x)

Answer:

[tex]→y = \cos(x) \\ \boxed{\frac{dy}{dx} = - \sin(x) }✓[/tex]

dy/dx=-sin(x) is the right answer.

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII68052wassupcan someonetell me whats 1+1 PLZZZZZZZZZZZZZZZZZZZZZZZZZ im so confused plz help

Answers

Answer:

yooooooo its 2

Step-by-step explanation:

1. Find the approximate volume of a sphere with a diameter of 12cm

2. Find the approximate volume of a cone with a diameter of 14cm and a height of 9 cm

Answers

Answer:

si simon chavon

Step-by-step explanation:

How am I supposed to solve this? There is no table, am I missing something?

Answers

Answer:

What table were you looking for?

Step-by-step explanation:

I’ve actually never seen a problem like this either.

What value of x satisfies this equation?
log(2x)=2

Answers

Answer:

[tex] log(2x) = 2 \\ 2x = {10}^{2} \\ 2x = 100 \\ x = 50[/tex]

The value of x that satisfies this equation log(2x) = 2 is 50

How to determine the value of x?

The equation is given as:

log(2x) = 2

Change the equation to an exponential equation

2x = 10^2

Evaluate the exponent

2x = 100

Divide both sides by 2

x = 50

Hence, the value of x that satisfies this equation log(2x) = 2 is 50

Read more about equations at:

https://brainly.com/question/2972832

#SPJ2

Which of the following polynomials is in standard form?

Answers

Answer:

right! it's B

Step-by-step explanation:

-----------------

Find the distance between the two points (-2,5) (4,-2)

Answers

Answer:

6,7

Step-by-step explanation:

The distance
= √(4-(-2))^2 + (-2-5)^2
= √36+49
= √85

The answer is 85.

(4w-3)^2
what would be the answer to that?? please explain, i’m so confused.

Answers

Answer:

16w^2  - 24w + 9

Step-by-step explanation:

To simplify this, you would use the special product (a - b)^2 = a^2 - 2ab + b^2. We can correlate this with the given term so that,

a = 4w

and

b = 3

Now we just substitute into a^2 - 2ab + b^2

(4w)^2 - 2(4w)(3) + (3)^2

16w^2  - 24w + 9

Answer:     16w^2 - 24w + 9

==========================================================

Explanation:

(4w-3)^2 is the same as (4w-3)(4w-3) because squaring something is the same as multiplying it by itself.

Another example would be something like 7^2 = 7*7

-----------

So we're asked to expand out (4w-3)(4w-3)

Let's make x = 4w-3 and replace that first copy of '4w-3' with 'x'

We get this expression:  x(4w-3)

Distribute the x through to get...

x(4w-3)

x*4w + x*(-3)

4wx - 3x

-------------

Now replace the x with (4w-3) and apply distribution twice more

4wx - 3x

4w(4w-3) - 3(4w-3)

16w^2 - 12w - 12w + 9

16w^2 - 24w + 9  which is the answer

-------------

You can use the FOIL rule as an alternative method to get this answer. The box method is a visual tool to keep all the terms organized. See the attached image below for what I mean by the box method. The four terms inside the boxes represent the four terms from 16w^2 - 12w - 12w + 9, which was the second to last step we got shown above.

Yet another alternative you could use is the perfect square formula which is

(a-b)^2 = a^2 - 2ab + b^2

where in this case, a = 4w and b = 3.

An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that
the value would increase by 10% every year. Which of the following functions can be used to model the
estimated dollar value of the chair years after purchase?
(A) f(t) = 500(0.1)
(B) f(t) = 500(0.9)
(C) f(t) = 500(1.1)
(D) f(t) = 500(10)
(E) f(t) = 510+

Answers

Answer:

A

Step-by-step explanation:

To find 10% of 500 you would multiply 500 by 0.1

5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?


asap please thank you so much ​

Answers

Answer:

the plane landed at 10:43 A.M

HELP WILL GIVE BRANLIEST!

Answers

Answer:

Step-by-step explanation:

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