In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home. Find a 96% confidence interval for the true proportion of voters who feel this way. a.Find a point estimate for p, the population proportion who thought US spends too little on fighting hunger at home.b.Find a 96% confidence interval for p.

Answers

Answer 1

Answer:

a. 0.48

b. The 96% confidence interval for p is (0.457, 0.503).

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].

In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.

This means that [tex]n = 2000, \pi = \frac{960}{2000} = 0.48[/tex].

This is the answer for question a.

96% confidence level

So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503[/tex]

The 96% confidence interval for p is (0.457, 0.503).


Related Questions

I cut a pizza in half. Then I cut each half into 3 equal pieces and each piece into 2 equal slices. I sold 6 slices. What fraction of the pizza did I sell?​

Answers

Answer:

6/12

Step-by-step explanation:

im pretty sure, i did it on a paper correct me if im wrong sorry if i am

When 6 is added to four times a number, the result is 50​

Answers

x=the number
4x+6=-50
4x=-50-6
4x=-56
x=-56/4
x=-14

Answer:

50-6= 54

54÷4= 13.5

editing for clarity.

first you subtract the 6 from the 50 to find out what the "4 times a number" came to.

in this case, 50-6, which equals 54.

then, you divide the 54 by 4 to get 13.5.

so, the whole math problem would be

4 times 13.5 plus 6 equals 50.

Answer and explain ILL MARK BRAINLIEST I DONT UNDERSTAND

Answers

First let's reduce the feet to miles

there are 5280 feet in a mile therefore

26400 feet=5 miles

31680 feet=6 miles

Jet A(the first jet) descends 5 miles in 96 miles

Jet B(the second jet) descends 6 miles in 120 miles

We can compare these as fractions to see which is steeper. This can be viewed as slope and the origin (0,0) is the airport.

slope: 6/120=?=5/96

1/20=?=5/96

Now we know that 5/100 =1/20 so 5/96 must be bigger than 5/100 because you are dividing by a smaller number.

so 1/20<5/96

So Jet B is descending steeper than Jet A.

As for linear model, I don't exactly know what your teacher means but I think I actually used the linear model when I'm thinking of steepness as slope in the coordinate plane, I will include a picture.

In this extremely zoomed out graph, you can see the blue line is just slighly higher than the red line(slope as in explanation is way easier to tell) this could be seen as the linear model) :) Hope it helped!

HELP MEEEE plzzz Kkkakskwkwiks

Answers

Answer:

a

Step-by-step explanation:

What is the answer to -5+(-5r)+10

Answers

Answer:

=−5r+5

Step-by-step explanation:

Let's simplify step-by-step.

−5−5r+10

=−5+−5r+10

Combine Like Terms:

=−5+−5r+10

=(−5r)+(−5+10)

=−5r+5

Answer: -5r+5

Step-by-step explanation: 1rst: Eliminate redundant parentheses

                                               -5+(-5r)+10

                                               -5-5r+10

                                             2nd: Add the numbers

                                                -5-5r+10

                                                5-5r

                                             3rd: Rearrange terms

                                                5-5r

                                                -5r+5

graph y = 1/2x+3
identify the x intercept
step by step explanation

Answers

Step-by-step explanation:

x-intercept: where y = 0

Set y to zero to find x.

0 = ½x + 3

-3 = ½x

x = -6

(-6, 0)

A bus can hold a total of 60 students. The bus is 73% full how many students are on the bus?​

Answers

Answer:

44

Step-by-step explanation:

so youre looking for 73% of students rite? of means multiplication , you just times 73% by 60

73%*60=43.8

but there cant be point 8 of a person unless theyre missin a couple limbs, so you round up to 44!

hope it helps :)

44
---------------------

Barbara charges $3.50, plus $2.25 for each hour she babysits. If Barbara charges $21.50, how many hours does she babysit?

Answers

Answer:

8 hours

Step-by-step explanation:

The equation is 2.25X + 3.50 = 21.50

X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.

2.25X + 3.50 = 21.50

2.25X + 3.50 - 3.50 = 21.50 - 3.50

2.25X = 18

2.25X = 18

2.25 2.25

X = 8

Michelle's quiz grades are 73, 75, 89, and 91. What score on her fifth quiz will make her average quiz grade at least 85?​

Answers

Answer:

in order to have an average of 85 on 5 tests, she needs to score a total of 85x5.

that's 425 points.

on the first 4 quizzes, she has earned 328 points.

she needs to score 97 points on the 5th quiz to average 85.

she needs to study very hard!

Laura had a toy robot collection. 4/7 of her 28 robots make noise. How many of Laura’s robots make noise? If you guys answer can you please do show you work.

Answers

Answer:

4/7 of 28 robots is 16.

Step-by-step explanation:

This is because 4/7 is equal to 16/28 when you simplify it. multiply 7 by four and you get 28 as your denominator and 16 as your numerator.

Is my Answers Correct? Very easy Question!

Answers

Answer:

Step-by-step explanation:

Correct

Step-by-step explanation:

the 5th one on the right is standard form,

the second one is perfect square form.

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

Answers

Answer:

x = 6, x = 8, and x = 10

Step-by-step explanation:

Since 44 > 35, that means that

[tex]2x + 3 > x + 8\\x + 3 > 8\\x > 5[/tex]

so that means the ones that work are x = 6, x = 8, and x = 10

in a classroom 1/6 of the students are wearing blue shirts and 2/3 of wearing white shirts there are 36 students in the class how many students are wearing blue shirts​

Answers

Answer:

6 students are wearing blue shirts

Step-by-step explanation:

you divide 36 by 6 and that equals 1/6 of the students.

Look at the image. Could someone please help me out? Only question B Thank you! WILL GIVE BRAINLYEST​

Answers

Answer:

y = 3

Step-by-step explanation:

2x+6y=5x+4y   if x=2

2(2)+6y=5(2)+4y

4+6y=10+4y

-4     =-4

6y=6+4y

-4y=   -4y

2y=6

/2=/2

y=3

5th grade math. correct answer will be marked brainliest. what are the last 2 boxes?

Answers

Answer:

you forgot (2,28) :)

Step-by-step explanation:

the answer should be (5,37)

Use the bar graph to find the probability of the event

Not spinning a 1

Answers

10+8 you add all the data to get your answer

↓⊂∩⊥ββ⊄⊃БНasdsxЫ
c=9 d=8
6d-2c

Answers

Answer:

im sorry what?

Step-by-step explanation:

Need help fast with this

Answers

Answer:

c

Step-by-step explanation:

For the first one the answer would be A. 4x^10y^2. The second one it would be D. 64. The third one would be B. -15m^6. And the fourth one it would be D. m^24.

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.

probability of two bananas
p( two bananas )​

Answers

                                                                                                                                                   

                                                                                                                       .hnsxasy543esx nuyAtre

A single six-sided die is rolled. Find the probability of rolling a seven.

Answers

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Step-by-step explanation: there are  only 6 sides to the die that is rolled

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Answers

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Answers

It is asking how many layers which is 5 because in order to build it it went up 5
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Answers

Answer:B

Step-by-step explanation:

Help please
look picture and match

Answers

Answer:

Rectangle= Choice four

Square= Choice three

Trapezoid= Choice one

Parallelogram= Choice two

Rhombus= Choice five

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

I think these are the correct answers. Hope this helps!


When Joe solved a system using substitution, he got 7 = 9. What can Joe
conclude? *
The solution to the system is (7.9).
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The system of equations has infinitely many solutions,

Answers

Answer:

The system of equations does not have a solution

Step-by-step explanation:

Whenever you get a number = a different number, that means there's no solution.

Write the equation of a line parallel to and passes through the given line’s x-intercept. Leave answer
in slope-intercept form

Answers

Answer:

y = 1/2x - 4

Step-by-step explanation:

The x-intercept is when y = 0, so it would be:

-x  + 2 * 0 = 4

-x = 4

x = -4

That means the x-intercept is (0, -4)

The parallel line would have the same slope as this one, so:

[tex]-x+2y = 4\\2y = x + 4\\y = 1/2x + 2[/tex]

The parallel line has a slope of 1/2

So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)

Put it in point slope form:

y - (-4) = 1/2(x - 0)

y + 4 = 1/2x

y = 1/2x - 4

Y=3(x+2)^2-3 in standard form

Answers

Y= x2 - 12x + 15   Y=3(x+2)^2-3 in standard form

u={1,2,3,4,5,6,7,8,9}
a={2,4,6,8}
b={3,6,9}

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Answers

Answer:

AUB = {2,3,4,6,8,9}

Step-by-step explanation:

The set u should not be included in set AUB

Factorise
7lm - 21lmn​

Answers

Answer:

7lm - 21lmn

taking common 7lm

7lm(1-3n)

wHy dO i FeEl HaPpy?

Answers

Answer:

Step-by-step explanation:

because its called an emotion have a great day

:)

Answer:

maybe you ate dark chocolate? lol

Step-by-step explanation:

:)

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