A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying technology display results from a test of the claim that 35​% of adults have heard of the new electronic reader. Use the normal distribution as an approximation to the binomial​ distribution, and assume a 0.05 significance level to complete parts​ (a) through​ (e). Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Two-tailed test Right tailed test What is the test statistic? (Round to two décimal places as needed.) What is the P-vahie?

Answers

Answer 1

Answer:

a) We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:[tex]p=0.35[/tex]  

Alternative hypothesis:[tex]p \neq 0.35[/tex]  

And is a two tailed test

b) [tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]  

c) [tex]p_v =2*P(z<-1.326)=0.184[/tex]  

d) Null hypothesis:[tex]p=0.35[/tex]  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

[tex]\hat p=\frac{522}{1562}=0.334[/tex] estimated proportion of people who have heard of a new electronic reader

[tex]p_o=0.35[/tex] is the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:[tex]p=0.35[/tex]  

Alternative hypothesis:[tex]p \neq 0.35[/tex]  

And is a two tailed test

Part b

The statistic for this case is given :

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

[tex]p_v =2*P(z<-1.326)=0.184[/tex]  

Part d

The null hypothesis for this case would be:

Null hypothesis:[tex]p=0.35[/tex]  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.


Related Questions

877+100=__+258help me​

Answers

Answer:

719 = x

Step-by-step explanation:

877+100=_x_+258

Combine like terms

977 = x+258

Subtract 258

977 -258 = x+258-258

719 = x

719 would be the right answer I believe not too sure

convert the decimal 0.085to a percent​

Answers

Answer:

8.5%

Step-by-step explanation:

Answer:

8.5%

Step-by-step explanation:

0.085

1: Ignore the 0 and take the numbers that is 85

2: Add a percent

3: Answer is 8.5%

Hope this helps.

Which of these quadrilaterals are rectangles?

Answers

Answer:Parallelogram, rhombus ,square

Step-by-step explanation:

What is the variable for setting an alarm clock

Answers

Answer: The time in which the alarm clock will sound.

Step-by-step explanation:

The variable is something that can change or be changed.

So in the case of the alarm clock, the variable is the number that you select, which is the number (or hour) in which the alarm clock will make noise, because you have total freedom to change it.

Which of these are characteristics of good experimental design? Check all that apply. Good experimental design uses different methods for trials in an experiment. Good experimental design allows scientists to replicate experiments. Good experimental design tests only one variable at a time. Good experimental design plans how to record data so the data can be published. Good experimental design involves only one trial in an experiment. Good experimental design includes logging every step and data point of the experiment.

Answers

Answer:21

Step-by-step explanation:9+10

Answer:

B,C,D.F

Step-by-step explanation:

What is the length of AC? Brainliest for right answer

Answers

Answer:

2.3 units

Step-by-step explanation:

It takes you 3/8 of a hour to walk 9/10 of a mile. How far can you walk in 2 hours?

Answers

Answer:

Velocity = distance / time

Velocity = (9/10) / (3/8)

Velocity = (9/10) * (8/3) = 72 / 30 =24 / 10 = 2.4 miles per hour

Therefore, you could walk 4.8 miles in 2 hours.

Step-by-step explanation:

Answer:4.8 miles

Step-by-step explanation:

3/8 of an hour to walk 9/10 of a mile

2 hour to walk ____

Distance walked in 2hr=(2x9/10) ➗ 3/8

Distance walked in 2hr=18/10 ➗ 3/8

Distance walked in 2hr=18/10 x 8/3

Distance walked in 2hr=(18x8) ➗ (10x3)

Distance walked in 2hr=144 ➗ 30

Distance walked in 2hr=4.8 miles

Giving brainliest for CORRECT awnser.

Answers

Answer:

x=8±√35

Step-by-step explanation:

x^2-16x+50=21

Use the formula (b/2)^2 in order to create a new term. Solve for x

by using this term to complete the square.

Exact Form:

x=±√35+8

Decimal Form:

x=13.91607978…,2.08392021…

Trust me, I swear to god I will give brainiest just help me out

Answers

Answer:

1286.8

Step-by-step explanation:

Volume of a cylinder is pi(r²)(h)

The radius is 6.4 and the height is 10

Answer:

1286.1 units³

Step-by-step explanation:

V = πr²h

= 3.14 x 6.4 x 6.4 x 10

= 3.14 x 409.6

= 1286.144 units³

= 1286.1 units³

what type of function has a common rate of change

Answers

Answer:

  linear

Step-by-step explanation:

A linear function has a constant rate of change.

_____

The word "common" is usually used to refer to a shared characteristic of two or more entities. It would not ordinarily be used to describe a characteristic of one function. We're not quite sure what you mean by "has a common rate of change."

14 points
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team?*
11,040
36,960
62,338
36,000

Answers

Answer:

11,040 is the answer

Step-by-step explanation:

you just need to subtract

There are 36,960 people were supporting the home team.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At the college football game there were 48,000 people.

If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.

x/ 48000 = 77/ 100

here plugging in all our numbers gives us .

x =  (77/ 100)48000

x = 36,960

Therefore, There are 36,960 people were supporting the home team.

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GIVING 100 POINTS FOR THESE 3 PROBLEMS

Answers

Answer:

Step-by-step explanation:

[tex]A=\frac{a+b}{2}*h=\frac{4+7}{2}*3=16.5cm^2[/tex]

[tex]A=\frac{ab}{2} =\frac{4*6}{2} =12in^2[/tex]

[tex]A=wl=6*5=30in^2[/tex]

[tex]12+30=42in^2[/tex]

[tex]A=\frac{a+b}{2}h=\frac{28+40}{2}*30=1020ft^2[/tex]

Wall = A=[tex]\frac{ab}{2} =\frac{6*30}{2}=90ft^2[/tex]

Answer:

16.5cm²42in²90ft²

Step-by-step explanation:

Question 1:

A = (a+b/2)h

A = (4+7/2)3

A = (11/2)3

A = (5.5)3

A = 16.5cm²

Question 2:

A = bh/2 = 6*4/2 = 24/2 = 12

A = bh = 6*5 = 30

A = 12 + 30 = 42

A = 42in²

Question 3:

A = (a+b/2)h

A = (28+40/2)30

A = (68/2)30

A = (34)30

A = 1020ft²

A = bh/2

A = 30*6/2

A = 180/2

A = 90ft²

Best of Luck!

Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability​ distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.

Answers

Complete Question

Determine whether the distribution is a discrete probability distribution.

xP(x)

0   0.100

1   0.200

2  0.300

3  0.400

Is the distribution a discrete probability​ distribution?

A. Yes , because the sum of the probabilities is equal to 1.

B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.

C. No , because the sum of the probabilties is not equal to 1.

D. No , because each probability is not between 0 and 1 comma inclusive.

Answer:

The correct option is B

Step-by-step explanation:

From the question the probabilites are

        [tex]p_1 = 0.100[/tex]

        [tex]p_2 = 0.200[/tex]

        [tex]p_3 = 0.300[/tex]

        [tex]p_4 = 0.400[/tex]

The sum of the probability is  

       [tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]

Sally wants to fill ten 8-inch tea glasses. How much tea does she need?
A) 80 ounces
B) 40 ounces
C) 80 cubic inches
D) Not enough information to answer

Answers

Answer

I believe C considering cubic mass

Answer:

D

Step-by-step explanation:

add 5 1/2 kg to 450g​

Answers

1kg = 1000g

51/2 kg= 51/2×1000=51×500=25500g

25500g+450g= 25950g

Answer:

[tex]5950g[/tex]

Step-by-step explanation:

[tex]5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g[/tex]

Now let's add.

[tex] \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g[/tex]

So the correct answer is,

[tex] = 5950g = 5kg \: 950g[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which of the following is the image of C after a rotation of 180° about the origin?
A. (-5,2)
B. (-5, -2)
C. (-2,5)

Answers

Answer:

A: (-5,2)

Step-by-step explanation:

algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula

Write eight and fifteen hundredths in decimal notation

Answers

Answer:

8.15

Step-by-step explanation:

Answer:

0.08, 0.15

Step-by-step explanation:

Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million

Answers

The correct answer is $1.4 million

The insurance company must put $1.4 million into a bank account.

What is insurance?

Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.

Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,

Considering that the interest is Simple interest,

So, SI = PRT / 100

Here, the interest is 35000, P we need to find, r = 2.5 and T = 1

35000 = 2.5P/100

3500000 = 2.5P

P = 1400000

P = 1.4 millions

Hence, the insurance company must put $1.4 million into a bank account.

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Yuri's sister Karina is 12 years old. In the equation below, y represents Yuri's age in years.
12 - 3y-2
Which statement accurately relates their ages?
Yuri is 3 years younger than twice Karina's age.
Yuri is 2 years younger than triple Karina's age
Karina is 3 years younger than twice Yuri's age.
O Karina is 2 years younger than triple Yuri's age.

Answers

Answer:

Karina is 2 years younger than triple Yuri’s age

Step-by-step explanation:

two subtracted from 3 times yuri's age

Answer:

The correct option is D. Karina is 2 years younger than triple Yuri’s age.        

What are the zeros of the quadratic function represented by this graph?​

Answers

Answer:

Step-by-step explanation:

answer : C  when this graph passes trough x-axis

The zeros of the quadratic function are -3 and 1 represented by this graph.

What is a quadratic function?

A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The zeros of the quadratic function can be determined as the intersection of lines or functions on the x-axis only.

The zeros of the quadratic function are -3 and 1.

Learn more about quadratic function ;

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The diameter of a cylindrical water tank is 8 ft, and its height is 9 ft. What is the volume of the tank?

Use the value 3.14 for it, and round your answer to the nearest whole number.

Be sure to include the correct unit in your answer.

Answers

Answer:

The volume of the tank is [tex]452\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cylindrical water tank is 8 ft

Height of the water tank is 9 ft.

It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2h[/tex]

r is radius of cylindrical tank, r = 4 ft

Plugging all the values in above formula,

[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]

or

[tex]V=452\ \text{feet}^3[/tex]

So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].

Giving BRAINLIEST for correct awnser! Factor the expression below.
36a^2-25b^2
Which of the following binomials is a factor of the expression?
A. 4a +25b
B. 4a +5b
C. 6a + 5b
D. 6a + 25b​

Answers

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

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

(6a - 5b) (6a+5b)

Answer:

C. 6a + 5b

Step-by-step explanation:

36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:

(6a + 5b) (6a - 5b)

But, the answer choices only have (6a + 5b), so choice, "C," is the answer.

CAN SOMEONE HELP ME WITH THIS ONE QUESTION PLEASE AND THANK YOU :D

Answers

Answer:

number of wanted outcomes/ amount of different outcomes in total

number of winners/total amount of contestants

Step-by-step explanation:

A footbridge has a span of 54 feet. A sign is
to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge?

Answers

Answer:

27

Step-by-step explanation:

Because if it is halfway, that means

halfway=1/2

1/2=1/2 of 54

54/2 or 1/2 of 54=27

PLS MARK ME BRAINLIEST I NEED IT PLEASE

The center of the sign will be 27 feet apart from both ends of the bridge.

Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,

Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27

Thus, the center of the sign will be 27 feet apart from both ends of the bridge.

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What does (h,k) standard for in the standard circle equation?

Answers

Answer:It stands for the center of the equation

Step-by-step explanation:

(x-h)^2+(x-k) ^2=r^2

(h, k) stand for the center of the equation

while r stands for the radius

g(t) = 6t - 1

g ( ) = -7

Answers

Answer:

  g(-1) = -7

Step-by-step explanation:

Put the given value for g(t) into the first equation and solve for t.

  -7 = 6t -1

  -6 = 6t . . . . . . add 1

  -1 = t . . . . . . . . divide by 6

g(-1) = -7

Answer: -1

Step-by-step explanation:

IL GIVE YOU BRAINLIST !! * have to get it right * The slope and y-intercept for a linear equation are given. Which graph matches this information?

Answers

Answer: either a or b

Step-by-step explanation:

Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes

Answers

Answer:

<

Step-by-step explanation:

22/20=1.1

38/30=1.27

Answer:

<

Step-by-step explanation:

Factorise 2y^2 + y + 6xy + 9x - 3​

Answers

Answer: (2y+3)(3x+y-1)

Step-by-step explanation:

First regroup the terms.

6xy+9x+2y^2+y-3

Second factor 3x out of 6xy+9x

3x(2y)+9x+2y^2+y-3

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

And you get

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

Third factor by grouping

What is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:113 cubic meter

Step-by-step explanation:

Diameter=6

Radius=r=6/2

Radius=r=3

π=3.14

Volume of sphere=4/3 x π x r x r x r

Volume of sphere=4/3 x 3.14 x 3 x 3 x 3

Volume of sphere=(4x3.14x3x3x3) ➗ 3

Volume of sphere=339.12 ➗ 3

Volume of sphere=113.04

Volume of sphere =113 cubic meter

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