It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 40 Americans yielded 22 who bought their significant other a present and celebrated Valentine's Day. Estimate the true proportion of all Americans who celebrate Valentine's Day using a 98% confidence interval. Express the answer in the form the point estimates /- the margin of error.

Answers

Answer 1

Answer:

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

 (0.3672 , 0.7328)

Step-by-step explanation:

Explanation:-

Given Random sample size n =40

Sample proportion

                            [tex]p = \frac{x}{n} = \frac{22}{40} = 0.55[/tex]

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

   

          [tex](p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )[/tex]

         

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

    [tex](0.55-2.326\sqrt{\frac{0.55 X0.45}{40} } , 0.55 + 2.326\sqrt{\frac{0.55 X0.45}{40} } )[/tex]

  ( 0.55 - 0.1828 , 0.55 + 0.1828)

  (0.3672 , 0.7328)

         

Answer 2

Answer:

Step-by-step explanation:

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

 

         

       

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

   

 ( 0.55 - 0.1828 , 0.55 + 0.1828)

 (0.3672 , 0.7328)


Related Questions

Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.
Is the answer
A. y + 1 = 4x – 1
B. y – 1 = 4x + 1
C. y – 1 = 4(x + 1)
D. y + 1 = 4(x – 1)

Answers

Answer:

I would say the best answer choice is B.

a boy has 10 cookies. and his brother has 2.5 times as many. how many does the brother have

Answers

Answer:

25

Step-by-step explanation:

what is the greatest common factor of 24 40 and 56

Answers

The common factors for 24,40,56 24 , 40 , 56 are −8,−4,−2,−1,1,2,4,8 - 8 , - 4 , - 2 , - 1 , 1 , 2 , 4 , 8 .

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 divided by 3  = 8

40 divided by 5 = 8

56 divided by 7 = 8

GCF is basically the greatest common factor. Mostly the greatest number factor of these multiples.

Marta's pet snake is 10 inches shorter than three times the length of Dilbert's pet snake. If both their snakes laid together end to end measure 110 inches, how long is Marta's snake? Which equation would NOT solve this problem?
x + 3x - 10 = 110
3x - 10 = 110
4x - 10 = 110
x + 3x = 120

Answers

X=30 I used a website lol

Michelle had 600 fish to feed the dolphins in a zoo. Each dolphins ate the same number of fish. There are 9 dolphins in all. How many fish did Michelle have left?​

Answers

Answer:

each dolphins eat 600÷9=66.67

Six ninth-grade students and six 12th-grade students were asked: How many movies have you seen this month? Here are their responses.

Ninth-grade students: 5,1, 2, 5, 3,8
12th-grade students: 4,2,0, 2, 3, 1

a. By hand, calculate the mean, variance, and standard deviation of each of these data sets. Which is more spread out, the ninth-grade or 12th-grade data set?
b. Make a graph of both data sets. Which of these data sets appears more spread out? Does your answer agree with your conclusion in part (a)?

Answers

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Grade of students:

Grade of student:

In point a:

Grade of [tex]9^{th}[/tex] students:

[tex]\to n= 6\\\\\to Mean = \frac{ \sum x_i}{n} \\\\[/tex]

               [tex]= \frac{ 5+1+2+5+2+8}{6}\\\\ = \frac{24}{6}\\\\ = 4[/tex]

[tex]\to Variance\\\\\sigma^2 = \frac{\sum(x_i -\bar{x})^2}{n-1}[/tex]

    [tex]=\frac{1}{5}(10)\\\\=2[/tex]

[tex]\to Standard \ deviation ( \sigma) :\\\\= \sqrt{\sigma^2}\\\\= \sqrt{2}\\\\= 1.141[/tex]

Since the Grade of [tex]9^{th}[/tex] student's variance is higher than [tex]12^{th}[/tex]grade,  

In point b:

Please find the attached file.

The plot above shows that the student of the ninth grade is spread more widely, as the student from 0-8 to 12 is from 0-4.

Coach DeLeon purchases spirt equipment. Basketballs cost $20 each and soccerballs $18 each, he had a budget of $150

Answers

Answer:

basketballs

Step-by-step explanation:

a inequality is less then or greatee then the basketballs are more

Find the value of x
Will give brainliest

Answers

x = 52.33333333
—————

A varsity boy's basketball team has a ratio of seniors to juniors that is 7:4. The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?

Answers

Answer:

The varsity boys team

Step-by-step explanation:

write an equation in point slope form of the line that passes through the point (0,1) and has a slope if -3/2

Answers

Step-by-step explanation:

y - 1 = -3

x - 0 2

2y - 2 = -3x

2y = -3x + 2

The price of a pair of sunglasses was reduced from $55 to $33. By what
percentage was the price of the sunglasses reduced?

Answers

Answer:

166.6% (put a little line over the LAST 6.)

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100.

Answer:

60%

Step-by-step explanation:

33×100=3300÷55=60

60%×55=33

100pts!!!PLZ answer my question for God's sake PLZ​

Answers

3×2-2×y+c

hope that helps you

Answer:

lick a my suck a my

Step-by-step explanation:it is 3×2-2×y+c

What is the reason for each step in the solution of the inequality?
700 + 16 < -5(4 – 5x)
Match the reason with the correct step in the inequality.

Answers

I think it is givin. But I’m am not 100% sure

What is the value of 3/7 ÷ 5/21 ?

Answers

Answer:

9/5 brainliest please

Step-by-step explanation:

Answer:

[tex] \frac{9}{5} \: or \: 1\frac{4}{5}[/tex]

Step-by-step explanation:

[tex] \frac{3}{7} \div \frac{5}{21} \\ \\ = \frac{3}{ \cancel7} \times \frac{ \cancel{21} \: \: \: \red{ \bold{3}}}{5} \\ \\ = 3 \times \frac{3}{5} \\ \\ = \frac{3 \times 3}{5} \\ \\ = \frac{9}{5} \\ \\ = 1 \frac{4}{5} \\ [/tex]

Can I get him with all the questions please?

Answers

Answer:

[tex]14.16\\15. a) 14[/tex]

Step-by-step explanation:

[tex]14. We\ are\ given\ that,\\The\ assumed\ number\ x\ is\ 4\ more\ than\ 12\\Hence,\\x=4+12\\x=16\\Lets\ see\ that\ x=16\ as\ a\ solution,\ matches\ with\ the\ other\ information\ provided.\\We\ are\ also\ given\ that,\\x<20, 16\ is\ less\ than\ 20\ too.\\x>13, 16\ is\ greater\ than\ 13\ too.\\x<17, 16\ is\ less\ than\ 17\ too.\\As\ all\ the\ conditions\ are\ satisfied,\ x=16\ as\ a\ solution\ is\ verified.\\[/tex]

[tex]15. a)\\Let\ the\ assumed\ no.\ be\ y\\Here,\ we\ are\ given\ the\ following\ information\ about\ y:\\y>10,\\y<20\\y>12\\y<15\\Hence,\\The\ number\ y\ lies\ in\ between\ 12-15.\\Hence,\\y\ could\ either\ be\ 13,14.\ But\ the\ phrase\ 'Of\ the\ numbers\ are\ left\\ I\ am\ the\ greater\ number', tells\ us\ that,\ y\ is\ the\ greater\ no.\ among\ 13\ and\ 14.\\Hence\ as\ 14>13,\\y=14[/tex]

1. Find the 8th term of the following linear sequences.
i) 2,4,6,8,...
ii) -7,-4,-1.2- iii)0,-1/2,-1,-1 1/2
iv) 12,5,-2. v) 8,14, 20,...
vi) 63,58, 53, ...​

Answers

We know the formula,

t =n =ar

n−1

Here n=8

Common ratio =−2 and first term =a=−6

t =8

=(−6)×(−2)

8−1

t =8

Use this formula

=(−6)×(−2)

7 t= 8

=768

Usha thinks that the area of the development will be greater than the total area of 50 football pitches.
Usha knows
• a football pitch is rectangular 100m by 50m
• 1 mile = 1600m.

Answers

Answer:

Usha is correct

Step-by-step explanation:

See attachment

Given

Dimension of the development

[tex]Height = \frac{1}{2}\ mile[/tex]

[tex]Base = \frac{1}{2}\ mile[/tex]

Dimension of a football field

[tex]Length = 100m[/tex]

[tex]Width = 50m[/tex]

First, we calculate the area of the development.

Because it is triangular in shape, the area is:

[tex]Area = \frac{1}{2} * Height * Base[/tex]

[tex]Area = \frac{1}{2} * \frac{1}{2}mile * \frac{1}{2}mile[/tex]

Convert mile to meter

[tex]Area = \frac{1}{2} * \frac{1}{2}* 1600m * \frac{1}{2} * 1600m[/tex]

[tex]Area = \frac{1}{2} * 800m * 800m[/tex]

[tex]Area = 400m * 800m[/tex]

[tex]Area = 320000m^2[/tex]

The area of 50 football pitch is then calculated as:

[tex]Area = 50 * Length * Width[/tex]

[tex]Area = 50 * 100m * 50m[/tex]

[tex]Area = 250000m^2[/tex]

By comparison:

[tex]320000 > 250000[/tex]

Hence, Usha's thought is correct

Uhm ian askin fo a lot buh ,,, uh someone add me on Rblx , XxColdTyXx is da user

Answers

Answer:

Mk! I will when I get my account back!

Step-by-step explanation:

Easy algebra 1 please help

Answers

9514 1404 393

Answer:

  (H)  y = 1/3x + 5

Step-by-step explanation:

When x=0, y=5, so you know G is not a possibility.

Y increases at a lower rate than x does. For example, between the first two table entries, x goes up by 6, but y goes up by 2. The only choice with a rate of change less than 1 is ...

  (H)  y = 1/3x + 5

How do you find the mean and standard deviation?

Answers

To find the mean you have to add up all the numbers, then divide by how many numbers there are. To find standard deviation you need to find the mean, then for each data point, find the square and it’s distance to the mean, sum the values, then you divide by the number of data points.

I really need the answer ASAP

Answers

option A

A=x+3
B=x+(1+2)

GIVIVNG AWAY ALL MY POINTS FOR THIS QUESTION PLS ANSWER

Answers

Answer:

50  miles

Step-by-step explanation:

50 because 1 inch is 20 miles. There is two and a half inches.

The Table Shows The Number Of Rows Of Bricks A Worker Can Lay In Different Numbers Of Hours



Number Of Hours.
4
6
8
10

Number Of Rows
12
18
24
30


How Many Bricks Can The Worker Lay Each Hour?

A 2
B 3
C 6
D 9

Answers

The answer is 3. If you set it up in a T table and label x as the number of hours and y as the number of rows. Then use rise over run (y over x) the fractions simplify to 3 over 1.

5. Viruses spread at an exponential rate. Write a model for a virus that starts with 1 person and increases by 400% every week. Write an exponential model in the form y=ab^x to represent this situation.

Answers

Answer:

y = 4^x

Step-by-step explanation:

Initial number is 1 so a = 1

Weekly growth rate is 400% which is 4 times increase, therefore b = 4

So the function becomes:

y = 4^x

Josh wants to add a model of a tree house to his model railroad layout how big should the tree be if the actual tree is 315 inches and the scale is 1:90

Answers

Answer:

3.5 inches on the scaled model

Step-by-step explanation:

So using the ratio, 1:90 I thought of two ways to solve this

1) Proportion

2) Equation

Using the proportion method

1:90=x:315

Now cross multiply

315=90x

Now solve and you’ll get 3.5

Equation is just

315/90=X?

Just solve and you’ll also get 3.5

Assume that when adults with smartphones are randomly​ selected, 63​% use them in meetings or classes. If adult smartphone users are randomly​ selected, find the probability that exactly of them use their smartphones in meetings or classes.

Answers

Answer:

Solved using binomial, probability = 5.7%

Step-by-step explanation:

Number of people (N) = 7

Probability of success (using phone) = 63% = 0.63

So, probability of failure (not using phone) = 1 - 0.63 = 37

Number of success (r) = 2

N c r . P^r . Q^n-r

7 c 2 (0.63)^2 (0.37)^5

= 21 (0.3969) (0.0069)

= 0.057

Helpppp meeee fassttt pleaseeee

Answers

Answer:

 y = -1/3x + 3 2/3

Step-by-step explanation:

step 1. find the slope of the given line

y2-y1/x2-x1          2 - 4/ 3 + 3 = - 1 / 3

take the opposite of that and there is your slope

step 2. plug in the values to the following equation using the given point:

y - y1 = m ( x - x1 )          y - 4 = - 1/3 ( x + 1 )

step 3. solve for y

y-4 = -1/3(x+1)

-1/3(x) and -1/3(1)  ----> y-4 = -1/3x-1/3

y-4+4 = -1/3x-1/3+4  ---->  y = -1/3x + 3 2/3

hope this helps. if you need more help lmk in the comments. i am in algebra two so you can trust me. Happy holidays

Easy Unit Rate. Help quick!

Answers

Answer:

vuguvcfhhhhhhhhcgyy

A store is having a sale in which the cost of any item is 35% off.
Can the expression be used to find the cost, x, of an item?
Select Yes or No. Please look at your picture.

Answers

Answer:

1. no

2. yes

3. no

4. yes

Step-by-step explanation:

only the second and last expression works. If x is the final cost, and it is 35% off, then you are subtracting 0.35xor keeping 0.65x

please give thanks by clicking heart button! :)

Please help ill give brainliest

Answers

Answer:

1- true

2- dairy

3- false

1. i think this one is false
2. fats
3. false
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