The people at the Cloak soft drink company believe that their brand of drink is favored over their competitor's brand, Pempsi, by the majority of people. A quick survey is conducted to test this belief. Forty people are asked whether they prefer Cloak or Pempsi, and 28 people did prefer Cloak. A statistician at Cloak wishes to construct a 95% confidence interval for the proportion of people that prefer Cloak soft drink. Drag the blue marker from above the words 'lower bound' to the lower bound of the confidence interval on the number line provided. Drag the red marker from above the words 'upper bound' to the upper bound of the confidence interval on the number line provided.

Answers

Answer 1

Solution :

[tex]$p = \frac{28}{30}$[/tex]

  = 0.93

Given :

[tex]$a=0.05$[/tex]

[tex]$z(0.025)=$[/tex] [tex]$1.96$[/tex]   (from standard normal table)

So the lower bound is

[tex]$=p+z\times \sqrt{p \times \frac{1-p}{n}}$[/tex]

[tex]$=0.7+0.93\times \sqrt{0.7 \times \frac{1-0.7}{30}}$[/tex]

= 1.63 + 0.083

[tex]$=1.73$[/tex]


Related Questions

please help me. Will mark u brainlyist.... Please don't put a randome answer if u don't know.

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Answer:

105

Step-by-step explanation:

< 7 is also 105- they are alternate exterior angles

PLEASE HELP ME!!!!!

what is the perimeter and area of this figure?

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Answer:

The perimeter is 99

Step-by-step explanation:

you do 11x9=99

What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?

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Answer:

D

Step-by-step explanation: :)

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Answer:

a

Step-by-step explanation:

WILL MARK BRIANLIST IF GOTTEN RIGHT!!!

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Answer:

55

Step-by-step explanation:

The angle is 1/2 of the arc

please help me to find this out i really really need help.

The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.

Give your answer correct to 3 significant figures. ​

Answers

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Therefore, the length of the angle be [tex]x=38.65[/tex] degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be [tex]x[/tex].

Consider Δ[tex]ADF[/tex]

which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].

So,

tan(x)=Perpendicular / Base

i.e.,

[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]

Hence, the length of the angle be [tex]x=38.65[/tex] degree.

To know more about the trigonometry

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RT and UW are parallel lines
Which angles are corresponding angles?

Answers

Answer:

<uvx and <rxv is your amswer

Express the null hypothesis and the alternative in symbolic form. Use the correct symbol (μ, p, σ ) for the indicated parameter.
An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.
A. H0:p<0.0016
H1:p≥0.0016
B. H0:p=0.0016
H1:p<0.0016
C. H0:p=0.0016
H1:p>0.0016
D. H0:p>0.0016
H1:p≤0.0016

Answers

Answer:

A. H0:p<0.0016

H1:p≥0.0016

Step-by-step explanation:

An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation.

This means that the null hypothesis is that the proportion is less than the proportion explicited, that is:

[tex]H_0: p < \frac{16}{10000}[/tex]

[tex]H_0: p < 0.0016[/tex]

At the alternate hypothesis, we test if the claim at the null hypothesis is wrong, that is, if the proportion is equals or more to this value. So

[tex]H_1: p \geq 0.0016[/tex]

The correct answer is given by option A.

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

d

Step-by-step explanation:

if you were to flip A and B they would match

The box-and-whisker plot shows the
number of miles run per week by the
members of a running club.

What is the range of the data?

Answers

Answer:

18

Step-by-step explanation:

range= max-mini

21-3=18

⚠️ PLEASEEEE HELPPPPPP !!!!!

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Answer:

Where is the pic

Step-by-step explanation:

How much simple interest is earned on $4,000 in 3 1/2 years at an interest rate of 5.2%?

Answers

Answer:

$728

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

I = (4000)(0.052)(3.5)

I = 728

Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.

What is Simple Interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Here, Principal = $ 4000

          Time = [tex]3\frac{1}{2}[/tex] years = 7/2 years = 3.5 years

          Rate = 5.2 % =  0.052

Now, SI = P.R.T/100

         SI = 4000 X 3.5 X 5.2 / 100

         SI = $ 728

Thus, Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.

Learn more about Simple Interest from:

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the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers

Answers

9514 1404 393Answer:

  20, 36

Step-by-step explanation:

Let x and y represent the smaller and larger numbers, respectively. The given relations let us write two equations:

  x + y = 56 . . . . . . the sum of the two numbers is 56

  2x -y/2 = 22 . . . . twice the smaller exceeds half the larger by 22

We can solve this by multiplying the second equation by 2 and adding the first.

  2(2x -y/2) +(x +y) = 2(22) +56

  5x = 100 . . . . . . simplify

  x = 20

  y = 56 -20 = 36

The two numbers are 20 and 36.

Write as algebraic sum
(a+b)(2b-a)=

Answers

Apply the distributive property.

=a(a−2b)+b(a−2b)

=a2−2ab+ba−2b2

=a2−ab−2b2.

Answer
−a
2
+
2
b
2
+
a
b

Here is the answer

Please look at the images below. (I will mark you as Brainliest if you are correct!)

Answers

Answer:

ima say its a that is my lucky guess im sorry if you get it wrong

Which number line shows the graph of x 11?
OA
+
9
10 11 12 13 14
10 11 12 13 14
+
9 10 11 12 13 14
6 7 8 9
10 11 12 13 14

Answers

Answer:

B

Step-by-step explanation:

X 11 means that x could equal 11. The number is included on the answer. So, the circle on the number line has to be closed/filled in. X could be any number equal to or greater than 11, so the number line has to be shaded to the right. :D

Find the perimeter of an isosceles triangle with a base of 48 in and a height of 14 in.
will mark brainlist dont give me that link

Answers

Answer:

I think the answer is 103.6

Step-by-step explanation:

divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem

(14)^2 + (24)^2 = /742 = 27.8

27.8x2 + 48 = 103.6

hope that answers your question

Sam's T-shirt business uses the demand function P =-Q + 26 and the
supply function P = Q-10. Acceding to these functions, what will the
equilibrium point (P,Q) be for Sam's T-shirt business?

A: (8,18)
B: (18,8)
C: (26,10)
D: (10,26)

Answers

Answer:(26,10) is your answer

Step-by-step explanation:

2. 6t - 12=48 3. 85*4=100​

Answers

Answer:

2 ) 6t=48+12

t=60/6

t=10

HELP PLEASEEEEEEEE I NEED HELP ASAP

Answers

Answer: Fish tank = 9 other fishtank= 9,000 Jewlery box=9 other jewelry box=320

CANT SEE OTHER SORRY

Step-by-step explanation: Ok first IK UR NOT IN COLLEGE second dont

cheat imma give ya answer to be noice

Can u give me the steps to this problem? What should I do first? Please please

Answers

First, look at pemdas
Parentheses
Exponents
Multiplication
Division
Add
Subtract
Do it in order

please help meeeeeeeeeeee

Answers

Answer:

for example

Step-by-step explanation:

(1,3)

the one would go on the bottom.

and the 3 would go on the vertical side!

hope that helped! :)

You graph from the x-axis and the graph from the y-axis to create the points and then connect them together.

Mina is analyzing products of negative numbers. Is the product (- 7.291015)(- 3.214195) • (- 2.124819) positive or negative? How do you know ? Explain your reasoning . If 99 negative numbers are multiplied together , is the product positive or negative ? How do you know ? Explain your reasoning

Answers

Answer:

Step-by-step explanation:

Mina is analyzing products of negative numbers. Is the product (- 7.291015)(- 3.214195) • (- 2.124819) positive or negative? How do you know ? Explain your reasoning . If 99 negative numbers are multiplied together , is the product positive or negative ? How do you know ? Explain your reasoning

Answer:

Probably the easiest way to visualise negative and positive numbers is using a number line, a tool with which you may well be familiar, especially if you have children at primary school.

It looks something like this:

Number line showing a scale of -25 to +25.

A number line can help you to visualise both positive and negative numbers and the operations (adding and subtracting) that you can do with them.

When you have an addition or subtraction to calculate, you start at the first number and move the second number of places either to the right (for an addition) or left (for a subtraction).

This number line is a simplified version, but you can draw them with every number included if you wish. The big advantage of a number line is that it is very easy to draw for yourself on the back of an envelope or a piece of scrap paper, and it is also quite hard to go wrong with the calculation. As long as you are careful to count the number of places that you are moving, you will reach the correct answer.

What 2+2? I forgot :( points hehe

Answers

Answer:

4

Step-by-step explanation:

2+2=4

What is the area of the kite 10 12 12 18

Answers

p=2A
q so it’s 18
That is the answe

A square has an Area of 49 square feet. What is the measure of a side length? * ​

Answers

Answer: 7 feet

hope this helps, have an amazing day <3

which is it? please answer asap

Answers

Answer:

the difference of m and 5 is graeter than 10

How many three digit numbers can you get by arranging the numbers 5, 6,
7, 8, 3, 4, 5, 6, 7, 8, 9?

Answers

Answer:

84 numbers

Step-by-step explanation:

Numbers starting with 12 – 7 numbers

Numbers starting with 13 – 6 numbers;

14 – 5, 15 – 4, 16 – 3, 17 – 2, 18 – 1.

Thus total number of

numbers starting from 1 is given by the sum of 1 to 7 = 28.

Number of numbers starting from 2- would be given by the sum of 1 to 6 = 21

Number of numbers starting from 3- sum of 1 to 5 = 15

Number of numbers starting from 4 – sum of 1 to 4 = 10

Number of numbers starting from 5 – sum of 1 to 3 = 6

Number of numbers starting from 6 = 1 + 2 = 3

Number of numbers starting from 7 = 1

Thus a total of: 28 + 21 + 15 + 10 + 6 + 3 + 1 = 84 such numbers.

Emily is having a bad cold. She uses up of a box of tissues every day. How many boxes of tissues does she need to buy if she expects the cold to last for? days? How many boxes does she need to buy so she doesn't run out of tissues?​

Answers

Answer:

Step-by-step explanation:

1 per day  Taylor , but the question doesn't say how many days...  :/

Find the distance between the two points. (2, 4), (7, 2)

Answers

Answer:

5.38516480 or  √ 29

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5.385165 or sqrt 29

Step-by-step explanation:

d = distance

d= sqrt (7-2)^2+(2-4)^2

and when simplified fully you get

sqrt or 5.385165

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