Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a​ 95% confidence interval estimate of the population percentage. Based on the​ result, does it appear that greater height is an advantage for presidential​ candidates? Why or why​ not?

Answers

Answer 1

Complete Question

The data for this question is shown on the first uploaded image

Answer:

The 95% confidence interval estimate of the population percentage is  

   [tex] 33.2\% <  p < 76.8 \% [/tex]

Step-by-step explanation:

On the data the first value is the height of the president while the other value is the height of his opponent

    The sample size is  n  =  20  

Looking at the data we see that out of the 20  presidents that only 11 is taller than their opponent

 So the proportion of presidents that are taller than their opponents is  

      [tex]\^ p = \frac{11}{20}[/tex]  

=>   [tex]\^ p = 0.55[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

   [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\^ p (1- \^ p) }{n}} [/tex]

  [tex]E = 1.96 *  \sqrt{\frac{0.55 (1- 0.55) }{20}} [/tex]

   [tex]E = 0.218[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\r p -E <  p <  \r p +E[/tex]

=>    [tex]0.55-0.218 <  p < 0.55+ 0.218 [/tex]

=>    [tex]0.332 <  p < 0.768 [/tex]

Converting to percentage

        [tex](0.332*100)\% <  p < (0.768 *100) \% [/tex]

=>    [tex] 33.2\% <  p < 76.8 \% [/tex]

Refer To The Data Set Of 20 Randomly Selected Presidents Given Below. Treat The Data As A Sample And

Related Questions

Question 7 of 10
A birthday cake was cut into equal pieces, and six pieces were eaten. The
fraction below shows how many pieces are left. According to the fraction,
how many pieces were not eaten?
ოთ
o
A. 3
B. 15
C. 6
O D. 9

Answers

Answer:

Huh...?

Step-by-step explanation:

Answer:

Need to know the fraction

Step-by-step explanation:

1. Simplify 3√-8x24y36
2. Simplify 3√-50 Enter your answer, in simplest radical form, in the box.

Answers

Answer:

√3

Step-by-step explanation:

Factor 3 into its prime factors

          3 = 3  

Note that 3 is a prime number, it only has itself as a factor (that is on top of the trivial factor "1")

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified

The simplified SQRT looks like this:

        sqrt (3)  

hola necesito eso urgente porfavor lo tengo que entregar en 2 horas

Answers

la respuesta es x=10

A box contains 15 large marbles and 11 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 3 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

The probability of selecting a small or white marble is 10/13

Step-by-step explanation:

The total number of marbles is 15 + 11 = 26 marbles

The probability that we want to calculate is if the marble selected is small or white.

So we need to find the number of small marbles as well as the number of white marbles

We can construct a table to see the distribution of the marbles. Please check the attachment for this.

From the table , we can see that there are 11 small marbles and a total of 9 white marbles

The probability of selecting a white marble is;

number of white marbles/total number of marbles = 9/26

The probability of selecting a small marble will be ;

number of small marbles/total number of marbles = 11/26

In probability, whenever we have or, we tend to add

So therefore, the probability of selecting a white or small marble = Probability of selecting a white marble + Probability of selecting a small marble

Mathematically, that would be 9/26 + 11/26 = 20/26

So the probability is 10/13

WILL GIVE BRAINLIEST! What is 24 written as a percent?

Answers

Answer:

24%

Step-by-step explanation:You divide it by a hundred percent and overall it equals 24% since 24 out of one hundred (24/100) it would be 24% of that.

Now you owe me brainly. Thanks.(:

For each equation, find y when X=-3
a) y = 6x + 8
b) y = 1.5x + 11

Answers

a) y= -10.

6 x -3 = -18. -18 + 8 = -10.

b) y = 6.5

1.5 x -3 = -4.5. -4.5 - 11 = 6.5

there are 15 male teachers in the school. there are 35 female teachers in the school

Answers

Answer:

There are total 50 teachers, 30% are male, 70% are female

Step-by-step explanation:

There is no specific question, but I just put the percentage of each gender teacher. Hope this is the question you were trying to find!

Can you help me find the values of x and z?

Answers

Answer:

x = 96

z = 25

Step-by-step explanation:

x and 84 are supplementary angles.

this means that they add together to make 180.

using this, you can make the following equation:

x + 84 = 180

subtract 84 from both sides of the equation

x + 84 - 84 = 180 - 84

x = 180 - 84

x = 96

84 and 3z + 9 are vertical angles

vertical angles are equal.

using this, you can make the following equation:

84 = 3z + 9

subtract 9 from both sides of the equation

84 - 9 = 3z

75 = 3z

divide both sides of the equation by 3

75/3 = 3z/3

25 = z

What is the domain of this quadratic function?

Answers

Answer: A) all real numbers

The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.

At the start of the football game, there were 840 fans in the stadium. It began to rain during halftime, so 10% of the fans went home.
During the 3rd quarter of the game, the visiting team scored five touchdowns, so 25% of the remaining fans went home.
How many fans were in the stadium after the 3rd quarter?

Answers

After the third quarter there were 567 fans in the stands
840x.90(total-part)=756 fans at 1/2 time
756x.75= 567 fans after the third quarter

The table shows ticket prices for the local minor
league baseball team for fan club members and
non-members. For how many tickets is the cost the
same for club members and non-members?

Answers

Answer:

2x club member ticket = 1x non-club member ticket

math question geometry

Answers

Answer:

Step-by-step explanation:

Area=7*7=49

?*7=49*2

?*7=98

?=98:7

?=14

will be nice if you give me brainlies.Good luck!

The function f (x) = 6x + 13 defines a
sequence for x > 1. What are the first three
terms of the sequence?

Answers

Answer:

15, 21, 27

Step-by-step explanation:

Given the function :

f(x) = 6x + 13 ; which defines a sequence for x > 1

The first three terms of the sequence ;

x > 1 ;

Hence x = 2, 3, 4

The sequence :

f(2) = 6(2) + 3 = 12 + 3 = 15

f(3) = 6(3) + 3 = 18 + 3 = 21

f(4) = 6(4) + 3 = 24 + 3 = 27

r.i.p walter wallace Jr

Answers

Big rip in the chat :(

What is the area of rhombus ABCD?
24.57 cm^2
39.00 cm^2
98.28 cm^2
78.00 cm^2

Answers

Step-by-step explanation:

The area of rom boss is 78.00cm friend

Answer: 98.28 cm^2 Is your correct answer

Step-by-step explanation:

Hope this helps:)

How many more cards does Linda make more than paul during the week? Enter the answer in the box.

Answers

Answer:

108

Step-by-step explanation:

72 / 2 = 36 x 3 = 108 yup yup

Solve the following literal equation for w X = wy/c

Answers

Answer:

w = xc/y

Hope this helps!

X
O f(x) = x(x – a)(x - b)3
O f(x) = (x - a)2(x – b)4
O f(x) = x(x – a) (x – b)2
O f(x) = (x - a) 5(x - b)

Answers

Answer:

f(x)=x(x- a) (x - b) 2 that is the answer good luck


Find the solution of this system of equations
4x - 2y = 0
-X - 2y = -25

Answers

Answer:

y = 25

X = 25/2 is the value of X an dy

Answer:

x=5

y=10

Step-by-step explanation:

4x-2y=0

-x-2y=-25

subtract

5x=0-(-25)

5x=25

x=25/5=5

-5-2y=-25

2y=-5+25

2y=20

y=20/2=10

how many solutions does a dependent system of equations have?

Answers

A dependent system of equations has infinite simultaneous solutions

Describe the transformation of y=f(x) for the new function f(x)=2/3|x-7|

Answers

Answer:

Stretch of 2/3, right by 7

I need an answer asap

Answers

Answer:   The answer is 120

Step-by-step explanation:  you add 50+70 and u will get 120

Matthew can write 7 paragraphs in 35 minutes. How many
paragraphs can he write in 20 minutes?

Answers

He can write 4 paragraphs. 1 paragraph every 5 min.
Matthew can write 4 paragraphs in 20 minutes

Have a nice day

Give the coordinates of the point located halfway between (2,1) and (2,4) Answer>

Answers

Answer:

(2,[tex]\frac{5}{2}[/tex])

Step-by-step explanation:

Midpoint formula: M=([tex]\frac{x_{1} +x_{2} }{2}[/tex],[tex]\frac{y_{1} +y_{2} }{2}[/tex])

M=([tex]\frac{2+2}{2}[/tex],[tex]\frac{1+4}{2}[/tex])

=([tex]\frac{4}{2}[/tex],[tex]\frac{5}{2}[/tex])

=(2,[tex]\frac{5}{2}[/tex])

(2 5/2)
Hope it helps

Evaluate the expression (x - y)^2 – x when x=3 and y=8

HELP PLEASE‼️‼️

Answers

Answer:

22

Step-by-step explanation:

Step 1: fill in the equation

(3-8)^2-3

Step 2: simplify

= -5^2-3

= 25-3

Step 3: solve

= 22

Answer:

This would change into (9 - 64) - 3 which would change to, -55 - 3 = -58

Step-by-step explanation:

Hope this helped!

A concert started at 5:22 PM on a Friday. The concert ended at 7:04 PM. How long did the concert last?

Answers

Answer: 1 hour 42 minutes

Answer:

1 hour and 42 minutes

Step-by-step explanation:

Express 700 as a product of its prime factors in index form.

NO SILLY ANSWERS OR REPORT!!

Answers

Answer:

5^2 x 2^2 x 7

Step-by-step explanation:

Plzzzzzzz I neeed number 7 I’ll give brainly

Answers

Answer:

Removing the -6 makes the average go from 4.1 to 5.2

Removing the -6 makes the median go from 4 to 5

Step-by-step explanation:

Average:

-6+3+3+3+3+5+6+6+8+10 = 41

41/10 = 4.1 (This is the mean/average)

If we remove -6, then:

3+3+3+3+5+6+6+8+10 = 47

47/9 = 5.2222 (This would be the new average)

So removing the -6 makes the average go from 4.1 to 5.2

Median:

The median of (-6+3+3+3+3+5+6+6+8+10) is between 3 and 5, so the median is 4.

Without -6, the median of (3+3+3+3+5+6+6+8+10) is 5.

So removing the -6 makes the median go from 4 to 5

Find the GCF of 6 and 15 using lists of factors.

Answers

The GCF of 6 and 15 is 3. We know this because, for example, 3, 6, 9, 12, 15, and 15, 30.

Answer:

gcf of 6 and 15 is 3

Step-by-step explanation:

multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and 48

multiples of 15 are 1, 2, 3, 6, 9, 18

Twice as a number plus 5 is equal to 27 what does x equal

Answers

Answer:

x=11

Step-by-step explanation:

2x+5=27

-5 -5

2x=22

x=11

Answer:

x = 11

Step-by-step explanation:

2x + 5 = 27

2x +5 - 5 = 27 - 5

2x = 22

x/2 = 22/2

x = 11

Other Questions
how has telophones improved from back then 0.3 6.24 show your work, ik im retarted A student found a 500 cm3 sample of vinegar. Knowing that vinegar is a solution of ethanoic acid (CH3COOH) and water, this student decided to take a 25.0 cm3 sample, dilute it with 25.0 cm3 of water and then react it with sodium hydroxide. The dilute sample required 37.0 cm3 of 0.850 mol dm3 sodium hydroxide solution to react entirely with it via the following reaction: CH3COOH(aq) + NaOH(aq) NaCH3COO(aq) + H2O(l)Calculate the concentration of ethanoic acid in the original sample of vinegar. The first budget customarily prepared as part of an entity's master budget is the _____ budget. a.cash b.production c.sales d.direct materials purchases A hawk swoops down and catches a squirrel. The squirrel provides energy for the hawk. What happens to the rest of the matter? The governor's canes symbolized __________________a.Spanish control over the Pueblos.b.the ancient history of the Pueblos.c.a feeble people who needed canes.d.the right of the Pueblos to govern themselves. How does Martin Luther king use pathos in letter from birmingham These Muslims believe that Ali, a relative of Muhammad, should havebeen the first caliph (political and religious leader of the new Arabreligion and empire):SunniShia What was the main goal of early American city police Hi Can you answer these questionsEither you answer all or just one its okThx if you have distance and time how do you find speed? -2 X-9=3. Please help 3 A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?Follow the steps to decide on the party location.1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite.2. Write an expression for the amount you would spend on a birthday party at the skating rink.3. How many people could you invite to the bowling alley? Show how you found your answer. How many people could you invite to the skating rink? Round 2,946 to the nearest thousand 6=1/12v solve each equation. Check your solution How can fake news be monitored and/or prevented? I really need help with this ? How did the Ming dynasty remove Mongol influence in China?a They revived Chinese culture, literature, and art.b They banned Confucian beliefs from the Mongols.c They destroyed many buildings from the Mongol period.d They stopped using the civil service exams the Mongols used. In what way did the block printing help the Chinese whats the slope-intercept form equation represented on this line?