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


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Answer:

Domain: (-∞,∞)

Range: {−27}

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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.

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

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%fat contained = 1/2 × 100%

%fat contained = 50%

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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:

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Answers

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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.

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

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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.

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

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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:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

7:8 is your ratio

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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.

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Answers

Answer:

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Step-by-step explanation:

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$609.50

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

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Answers

Answer:

0.03177

Step-by-step explanation:

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Calculation of the probability:

Since

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

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N = 15,

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

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

So,

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The answer is 1/256 hope this helps

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Jin adds 1 gallon of a water-and-bleach mixture that is 4% bleach to 2 gallons of a
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Answers

Answer:

0.08%

(might be wrong)

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Step-by-step explanation:

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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.

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The diagram is given below.

More about the angled link is given below.

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Answers

Answer: 0.1257

Step-by-step explanation:

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

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