Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?

Answers

Answer 1

Answer:

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Step-by-step explanation:

From the question we are told that

   The sample size is n =  16  

   The population proportion =  0.5

   

     The number that of students that picked out the teachers dog is k  =  14

Generally the sample proportion is mathematically represented as

       [tex]\^ p  =\frac{k}{n}[/tex]

=>     [tex]\^ p  =\frac{14}{16}[/tex]

=>     [tex]\^ p  = 0.875 [/tex]

The null hypothesis is  [tex]H_o :  p = 0.5[/tex]

The null hypothesis is  [tex]H_o :  p >  0.5[/tex]

Generally the test statistics is mathematically represented as

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

    [tex]z  =  \frac{0.875   -  0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} }  }[/tex]

    [tex]z  = 3[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  P(Z > 3)[/tex]

From the z table the probability of  Z>3  is mathematically represented as

      [tex]P(Z > 3) =  0.0013499[/tex]

So

   [tex]p-value  =  0.0013499 [/tex]

Let  assume the level of significance is  [tex]\alpha = 0. 05[/tex]

Generally from the value  obtained we see that [tex]p-value  <  \alpha[/tex] Hence  

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing


Related Questions

The angle measures of triangle QRS are given:

The measure of angle Q is (5x−15)°.
The measure of angle R is 75°.
The measure of angle S is (3x)°.
What is the value of x?

Answers

Answer:

x = 15°

Step-by-step explanation:

(5x-15) + 75 + 3x = 180

8x + 60 = 180

8x = 120

x = 15°

miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?​

Answers

Yes, Miles is correct.

Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?

Answers

Answer:

Jenn runs faster at 9 minutes/mile.

Step-by-step explanation:

Jana runs 3 miles in 1/3 hour.

1/3 hour is equivalent to 1/3*60 = 20 minutes

The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.

This ratio for Jana is 20/3=16.7 minutes/mile

As for Jenn, she runs 5 miles in 3/4 hour.

3/4 hour is equivalent to 3/4*60=45 minutes

The ratio time/distance is 45/5=9 minutes/mile

Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.

1079 divided by 4 Yeah Also whoever helps thank you :D

Answers

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

Use polynomial identities to prove that 63^2=(60+32)^2

Answers

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3

You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.



1) Write an equation to represent this situation.

2) How much will it cost you to play the game for 5 hours? Show your work.

Answers

Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

5/6x-7/6=8 what Is the value of x

Answers

Answer:

x=11

Step-by-step explanation:

The temperature at 4:00 p.m. was 2.5'F. It
dropped 0.75°F each hour for the next 4 hours.
What was the temperature at 8:00 p.m.?

Answers

Answer:-0.5; 0.75*4=3, 2-3=-0.5

Step-by-step explanation:

Answer:

-0.5...............

IF YOU ARE REALLY GOOD AT MATH PLEASE HELP ASAP!! Select all the correct answers on the table

Answers

Row 1:the second one down
Row2.the first and last one

-6(x - 6) = x(16 - 7)
Help please

Answers

Answer:

the answer would be x equal 2.4

Step-by-step explanation:

sorry for my bad handwriting

Question 1/ Which of the following describes the slopes of parallel lines? 1. same slope 2. zero slopes 3. different slopes 4. have no slope

Question 2/ what is the slope of the line represented by y = -5x + 2?

Question 3/ which of the following would be parallel to the graph of 2x -3y = 18?

Question 4/ What is the slope of the line that is parallel to the graph of y = -4x - 12​

Answers

i think it’s b but i could be wrong

PLASE ANSWER THIS!! MARKING BRAINLEIST

Answers

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist

Answers

Answer:

you can have 35 tickets

Step-by-step explanation:

Factor completely n2+3n+2

Answers

I’m assuming you mean n^2 + 3n + 2?

The 2 on the right has factors of 2 and 1, which can also add together to get three. We will use these numbers to factor.

We are left with:
(n+2)(n+1)

This is it’s factored form. Good luck!

Find the length of the side x in simplest radical form with a rational denominator.

Answers

Answer:

2.449489743

Step-by-step explanation:

Question 3 of 12

A jeweler needs exactly 19,000 beads to make jewelry.

He buys 48 boxes of beads. Each box has 400 beads.

He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.


48

×

400

=

(

40

×

400

)

+

(

8

×

400

)

=

16

,

000

+

3

,

200

=

19

,

200

Which explains what the jeweler does to support his conclusion

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]Needed = 19000[/tex]

Required

Support the jeweler's conclusion

From the question, we have that:

[tex]Boxes = 48[/tex]

[tex]Bead = 400[/tex] per box

So, he bought a total of:

[tex]Total = 48 * 400[/tex]

[tex]Total = 19200[/tex]

Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads

What are the factors of x2+3x-40

Answers

(x-5)(x+8)

Let's factor
x
2
+
3
x

40
x
2
+
3
x

40
The middle number is 3 and the last number is -40.

Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?

We need two numbers that...
Add together to get 3
Multiply together to get -40
Can you think of the two numbers?

Try -5 and 8:
-5+8 = 3
-5*8 = -40

Fill in the blanks in
(x+_)(x+_)
with -5 and 8 to get...
(x-5)(x+8)

Assuming part a is correct, how do you do b and c?

Answers

Step-by-step explanation:

B. Yes, we are 99% confident that the population mean is within the interval.

C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.

D. No.  Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9.  So the interval minimum would still be higher than 225.

HELP WITH 4. AND 5. Thanks in advance

Answers

here’s the answers hope this helps

Un automóvil recorre 1000 Km y consume 95 L de gasolina. Si la gasolina tiene un precio de $18.75 por cada litro ¿cuánto cuesta recorrer cada Km, en $/Km? (redondear a tres decimales)

Answers

Answer:

$1781.25

1 x 95= 95

18.75 x 95= 1781.25

Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false

Answers

Answer: B

Step-by-step explanation:

Priya bought x grams of flour. Clare bought 3/8 more than that.
Select all equations that represent the relationship between the amount of flour that Priya bought, x and the amount of flour that Clare bought, y
a) y= 3/8x
b) y = 5/8x
c) y= x+ 3/8x
d) y= x - 3/8x
e) y= 11/8x

Answers

Answer:

It would be C and E

Step-by-step explanation:

I know I'm extremely late but for anyone else who needs to know here you go :)

YOU ARE GIVEN AN APPLE AS A WEAPON...WHAT DO YOU DO NEXT?

(A) Keep the doctor away?
(B) Throw it hard enough to keep people away

DAILY DOSE OF MEMES TRY NOT TO OD PEEEPS

Answers

Answer:

a

Step-by-step explanation:

If you make your enemy's doctor away he will die of sickness

3x - 4 < 8 and 2x+ 2 > 4
20 points crq

Answers

Answer:

x<4 and x>1

Step-by-step explanation:

1) 3x-4<8

Add 4 to both sides first to isolate x.

3x-4<8

  +4 +4

3x<12

Divide both sides by 3.

3x<12

/3  /3

x<4

2) 2x+2>4

Subtract both sides by 2 to isolate x.

2x+2>4

   -2  -2

2x>2

Divide both sides by 2.

2x>2

/2  /2

x>1

Hope this helped!! Have an amazing day :3

Help me please!!!!!!!!

Answers

Step-by-step explanation:

To solve the equation for s we've got to leave s alone

[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]

A circle has a diameter of 60m. What is its circumference?

Answers

The circumference would be 188.5m

1. I mark as brainliest​

Answers

Answer:

d

Step-by-step explanation:

2nd one not 100% sure

Helppppp plsss?!?!?!?!?!

Answers

Answer:

153.86

Step-by-step explanation:

3.14 x 7 x 7=153.86

QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)

Answers

Answer:

a) Vf = at + Vi

b) 10 m/s

Step-by-step explanation:

Part A:

first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi

now bring the Vi over to the other side and flip the sign: at + Vi = Vf

this can be rewritten as Vf = at + Vi

Part B:

substitute the numbers: Vf = (2)(3) + 4

solve to get: Vf = 10 m/s

is this correct or not​

Answers

Answer:

yes it is u did a good job

Other Questions
U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:) Please help! I'm in a hurry How does the author organize information in the section "Malala's Words? A. Events are presented in chronological order (the order in which they happened). B. Two things are compared and contrasted. C. A place is described in detail. D. A problem is presented, followed by solutions. There are 7 princeples of desien what are they and explain what each means At the beginning of the American Revolution, General Washingtonwould have been likely to supportlonger enlistments for colonial troops.shorter enlistments for British troops.longer enlistments for British troops.shorter enlistments for colonial troops. Pls help!!! will give brainly!!!!The decorations for the party cost 100 dollars.Use the correct form of the verb costar Which example uses collaboration to gain further knowledge?A) A group of scientists working together to summarize results from prior experiments. B) A group of scientists meeting and sharing results to determine who gets the credit for discoveries. C) A group of scientists copyrighting their results to ensure other scientists do not plagiarize their work. D) A group of scientists getting together to share the results of their experiments with each other and find a solution to a given problem. The two houses of the legislative Branch are the House of Representativesand Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D. HELP ME ASAP!Under the Law of Multiple Proportions, Carbon Dioxide has a ratio of 2.666 gOxygen for every 1 g Carbon. Given this, how much oxygen is present in a sampleof carbon dioxide that has 16 g of carbon? since i tried looking it up and it gave me a dum answer heres the real answer since i got it wrong lol The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.StartFraction 2 a Over h EndFraction minus b 2 equals b 1. b2 = b1StartFraction a Over 2 h EndFraction minus b 2 equals b 1. b2 = b1StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = hStartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h Why do you think we need to study the culture and music of other countries? Which equation has the correct sign on the product?A. (-8)(5) = 40B. (-19)(-19) = 361C. (13)(-17) = 221D. (28)(5) = -140 Whoever answers this question first with the right answer gets Brainliest.Which nation is the barbarous and hellish power that Paine mentions here?A government of our own is our natural right: And when a man seriously reflects on the precariousness of human affairs, he will become convinced, that it is infinitely wiser and safer, to form a constitution of our own in a cool deliberate manner, while we have it in our power, than to trust such an interesting event to time and chance . . . Ye that oppose independence now, ye know not what ye do; ye are opening a door to eternal tyranny, by keeping vacant the seat of government. There are thousands, and tens of thousands, who would think it glorious to expel from the continent, that barbarous and hellish power. Need help with these Jeff is visiting his Dad for the weekend, he told his friend Carla that he is in a large city with huge buildings. Which one of the 5 themes of geography is Jeff using when he describes where his Dad lives?PlaceMovementRegionLocationHuman Environment Interaction The author uses the narrative technique of characterization in this excerpt. How does this technique support her purpose? Can someone help ME PLEASE?!!! will mark brainliest, a friend request, and will rate ur answerCan someone write these down on a piece of paper?THX A LOT FOR WHO EVER HELPS ME!!! :) what is the value of the power a if 5^a=1/125 Which is a subjective summary of the passage?