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

A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?​

Answers

Answer:

Answer below

Step-by-step explanation:

It would be 36×2=72

since we're doubl8ng it so there would be 72 hooded sweatshirts

Answer:

24 Hooded Sweatshirts

Step-by-step explanation:

36/3=12

2x12=24 or hooded sweatshirts

1x12=12 or crewneck sweatshirts

12+24=36 total sweatshirts :)

Find the number that makes the ratio equivalent to 7:8.
:24

Answers

Answer:

21:24

Step-by-step explanation:

7:8 is your ratio

so if _:24 is equivalent, you have to figure out what 24 is divisible by to equal 8

8×3=24

so now we have to multiply 7 by 3

7×3=21

so your answer is 21:24 = 7:8

hope this helps :)

Factorise fully
14x – 8​

Answers

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

What is 4/5 divided 1/3

Answers

The answer would be 2.4, or in fraction form 12/5. Please mark brainliest <3

need help again!!! please and thank you!

Answers

Answer:

C) 4

Step-by-step explanation:

Just follow the same steps as the last one.

32x+2 = 33x-2

2+2=33x-32x

4=1x

X=4

It’s c :) gbehenehddbdbhe

What are the domain and range of f (x)= -27

Answers

Answer:

Domain: (-∞,∞)

Range: {−27}

Multiply. Write your answer as a fraction in simplest form.
3
6x
22

Please help and by the way the question is 6 x 3 over 22 (fraction)

Answers

the answer is 18 !!!!!!!!!

Answer:

9/11

Step-by-step explanation:

(6 × 3)/22

18/22 = 9/11

Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.

Answers

Answer:

The two angles are supplementary

Step-by-step explanation:

Not sure if this is an option, but it would make sense with the question

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The diagram is given below.

More about the angled link is given below.

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-2/3 times 2 1/2 times (-3)

Answers

Answer:

Answer if 5

Step-by-step explanation:

-2/3 times 5/2 equals -5/3 times -3 equals5

Answer:

5.

for help with multiplying factions, take a look at this chart.

A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.​

Answers

Answer:

640 & 400

Step-by-step explanation:

Cost of books: x and 1040-x

x sold at a loss of 15%= .85 x

1040 - x sold at a profit of 36% = (1040 - x) *1.36

x*.85= (1040-x)*1.36

0.85x+1.36x= 1040*1.36

2.21x= 1414.4

x= 1414.4/ 2.21

x= Rs. 640

Rs. 1040 - 640 = 400

does the surface in contact with ground affect the going motion of the car ?why?​

Answers

Answer:

Yes, it does. The ground is bumpy and it creates friction acting against the car's motion.

(you can include my example too depending on what your teacher is looking for)

Step-by-step explanation:

This is a fun one! Think about a ball rolling on a smooth surface, now on a bumpy sandpapery one. Which one do you think is faster? The smooth surface! This is because of this friction of the sandpaper which slows down the ball. On the other hand, the smooth one has very little friction. The same applies to cars.

What is 1/2÷3 as a fraction?

Answers

Answer: 1/6

Step-by-step explanation:

1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.

I need help with this question

Answers

Answer:

1/3

Step-by-step explanation:

i hope this helps you! :)

Answer:

1/3

Step-by-step explanation:

When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.

In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)

Answers

Answer:

0.03177

Step-by-step explanation:

Prob (Bld grp) ~ Bin (N, P)

N = 15, P = Prob of success ie 'O' blood type = 0.45

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

a. The  probability that exactly three have blood type O is 0.03177

Calculation of the probability:

Since

Prob (Bld grp) ~ Bin (N, P)

So

N = 15,

P = Prob of success ie 'O' blood type = 0.45

Now

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

So,

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

hence, The  probability that exactly three have blood type O is 0.03177

Learn more about probability here: https://brainly.com/question/21102470

can someone please help me

Answers

Answer:

y = -5/3x -7

Step-by-step explanation:

If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).

y = mx + b

8 = -5/3(-9) + b

8 = 15 + b

b = -7

Now use m and b to form new equation of parallel line.

y = mx + b

y = -5/3x -7

five times the sum of a number and four

Answers

here is the Answer:

5(x+4)

Hope it helps

during a sale, 20 cent bars of soap were sold at the rate of 3 for 50 cents. how much is saved on 9 bars?

Answers

Answer:

30 is saved

Step-by-step explanation:

20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30

List all subsets of the given set.
B = {Lennon, McCartney}
O {}, {Lennon}, {McCartney}
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
{}, {McCartney}, {Lennon, McCartney}
{ }, {Lennon}, {Lennon, McCartney}
{Lennon}, {McCartney}, {Lennon, McCartney}

please help!

Answers

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Both the empty set and the total set are subsets of the given set.

Hence there are 4 subsets.

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?​

Answers

Answer:

$609.50

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)

   = 500(1.02)¹⁰

    = 500(1.218994)

    = 609.497

Round answer up to $609.50

Please i need help
50 points

Answers

Answer:

What did you need halp with

Step-by-step explanation:

Answer:

x=65

I put a pdf with the work below. hope it helps!

Step-by-step explanation:

b. If this branch of the military changes the height requirements so that all women are eligible except the shortest​ 1% and the tallest​ 2%, what are the new height​ requirements?

Answers

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

znznzmzspmzlsldfpcf

PLEASE HELP!!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Assign variables to the unknowns.

Answers

800= 1.5x +y
X is boys
And y are girls

Using exponential maths what is 2x = 1/128

Answers

The answer is 1/256 hope this helps

Explanation: if u need to show your work lemme know just comment and I’ll get a notification

If the absolute value of x is 4, what is the value of x?

A) -16 or 16
B) -4
C) -4 or 4
D) 4

Answers

X = -4 or 4. :)))))))

the correct answer is option C) - 4 or 4.

If the absolute value of x is 4,

| x | = 4

it means that x can be either positive or negative, but its distance from zero is 4 units.

This indicates that x can be 4 units to the right of zero or 4 units to the left of zero.

x = ± 4

Therefore, the possible values of x are - 4 and 4.

Thus, the correct answer is option C) - 4 or 4.

Both - 4 and 4 have an absolute value of 4, fulfilling the condition specified in the problem statement.

Learn more about absolute value here

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The approximate z-score that corresponds to a right tail area of 0.45 is?​

Answers

Answer: 0.1257

Step-by-step explanation:

Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.

We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]

From the z-score table, z-value corresponds for area of 0.45 is 0.1257.

That means  [tex]z_0=0.1257[/tex]

Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .

The company is interested in which confidence intervals associated with 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.)

Answers

Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.

Explanation:

The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.

However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.

Jin adds 1 gallon of a water-and-bleach mixture that is 4% bleach to 2 gallons of a
water-and-bleach mixture that is 10% bleach. What percent of the final mixture is bleach?

Answers

Answer:

0.08%

(might be wrong)

Step by step explanation:

0.04•1+0.10•2=3•x

0.04+0.2=3x

0.24=3x

x=0.08

Not sure if this is right

Answer: 8

Step-by-step explanation:

A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?

Answers

Answer:

Step-by-step explanation:

Total energy of the sandwich = 628kcal

Mass of fat contained = 36grams

Convert gram to kcal

1gram = 9kcal

36 grams = x

x = 36×9

x = 324kcal

Hence the fat contains 324kcal

%fat contained = fat(in kcal)/total calorie × 100%

%fat contained = 324/628 × 100%

%fat contained = 1/2 × 100%

%fat contained = 50%

Hence approximately 50% of the total energy is contributed by fat.

An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air

Answers

9514 1404 393

Answer:

  170 mph

Step-by-step explanation:

The speed of the airplane can be represented by s. The travel time will be ...

  time = distance/speed

  925/(s +15) = 775/(s -15)

  925(s -15) = 775(s +15)

  150s = 25500 . . . . . . . . . add 13875-775s

  s = 170

The rate of the plane in still air is 170 mph.

Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?

Answers

Answer:

13 gallons

Step-by-step explanation:

13 gallons that e answer
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