Look at the picture please.

Answer:

It all depends on the food they are going for, just like humans, mice have instincts. For example, if you were falling forward, which foot would you put out? Most likely the opposite one. I hope this helps you!

Step-by-step explanation:

Using hypotheses testing,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

We have,

(a)

To test whether the data suggest that mice show a preference towards one paw over the other, we can use a one-sample proportion test.

The null hypothesis (H0) is that the proportion of mice that use their right paw is 0.5 (indicating no preference towards one paw over the other).

The alternative hypothesis (Ha) is that the proportion of mice that use their right paw is different from 0.5 (indicating a preference towards one paw over the other).

We can use a significance level (alpha) of 0.05.

To conduct the test, we can calculate the test statistic using the formula:

z = (p - 0.5) / √(0.5 x 0.5 / n)

where p is the proportion of mice that use their right paw, and n is the sample size.

Using the given data, we have:

p = 18/48 = 0.375

n = 48

Plugging in the values, we get:

z = (0.375 - 0.5) / √(0.5 x 0.5 / 48) = -1.714

Using a standard normal distribution table or calculator,

We can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as -1.714 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.0869.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that mice show a preference towards one paw over the other, based on the given sample.

(b)

With the new dataset of 480 observations, we can still conduct a similar analysis using a one-sample proportion test.

However, since each mouse was measured 10 times, the observations are no longer independent.

Therefore, we need to use a different test that accounts for the dependency between observations, such as McNemar's test.

McNemar's test is a test of the marginal homogeneity of a two-way table, where the same subjects are measured twice on a binary outcome.

In this case, we can create a 2x2 contingency table of the number of times each mouse used their right or left paw, and conduct a McNemar's test on this table.

The null hypothesis for McNemar's test is that there is no difference in the proportions of mice that use their right or left paws.

The alternative hypothesis is that there is a difference.

To conduct the test, we can calculate the test statistic using the formula:

chi-squared = (|b-c|-1)² / (b+c)

where b is the number of mice that used their right paw more often, and c is the number of mice that used their left paw more often.

Using the given data, we have:

b = 214

c = 244

Plugging in the values, we get:

chi-squared = (|214-244|-1)² / (214 + 244) = 2.417

Using a chi-squared distribution table or calculator with 1 degree of freedom (since we have a 2x2 table), we can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as 2.417 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.119.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that there is a difference in the proportions of mice that use their right or left paws, based on the new dataset.

Thus,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

Learn more about the hypotheses test here:

https://brainly.com/question/28331914

#SPJ2

Answer:

0.435 pounds

Step-by-step explanation:

There are 16 ounces in one pound. Use that conversion to find your answer.

Answer:

7oz=0.4375lb

Step-by-step explanation:

i hope this helps

have a nice night

mark brainliest please :)

9514 1404 393

Answer:

  150 square units

Step-by-step explanation:

Each of the six squares has an area of 5×5 = 25 square units. (You can count them, if you wish.)

Then the total area is ...

  6×(25 square units) = 150 square units

Answer: I dont know im sorry

Step-by-step explanation:

Answer:

This triangle is an isosceles acute

Step-by-step explanation:

First lets define each classification

scalene - no equal sides

isosceles - two equal sides

equilateral - all equal sides

acute - all angles have a measure of less than 90 degrees

right - has a right angle (90 degree angle)

obtuse - has an angle that has a measure of more than 90 degrees

Now lets classify

The triangle has two equal sides (indicated by the little line on the top and bottom side) therefore it is an isosceles triangle

We know its an acute triangle because the one angle given is not a right angle nor a obtuse angle meaning that the other two angles are going to have  a measure of less than 90 degrees

So we can conclude that this is an isosceles acute triangle

Answer:

2.5 years

Step-by-step explanation:

I = 200     T=200/4000 0.2  = 2.5 years

P= 4000

R = 2%  0.2

T = ?  

Answer:

x= hotdogs

y=tacos

Step-by-step explanation:

(3.50)x+ 3x + 4y= 63

Answer:

6

Step-by-step explanation:

the only number between those to is 6

9514 1404 393

Answer:

  28.1°

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(H) = 8/17

  H = arcsin(8/17)

  H ≈ 28.1°

Answer:

yes

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

the value that is missing from the table is 8.

Answer:

Lin's needs 12 sheets to make all cupcakes.

Step-by-step explanation:

To find the answer we will divide 192 by 16, and we get 12.  Therefore, 12 is our answer.

Answer: I think the answer is 12 I'm sorry if its wrong

Answer:

D

Step-by-step explanation:

f(x) = |x+3|=x+3   when x+3≥0 ⇒x≥-3

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

I believe its 45.

Its hard to explain but what I can say is if you subtract the percentage with the total of the skins you would subtract what you had from there and then you would have 45.

Answer:

I think 45

Step-by-step explanation:

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

So

[tex]P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068[/tex]

Republican and from a household that makes at least $50,000.

55% of 64%. So

[tex]P(A \cap B) = 0.55*0.64 = 0.352[/tex]

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946[/tex]

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Answer:

D) 476 ft²

Step-by-step explanation:

12x14=168

(25+31)/2=28

28x11=308

308+168=476

Answer:

50

Step-by-step explanation:

Answer:

[tex]3x^{2} - 20xy + 33y^{2}[/tex]

Step-by-step explanation:

[tex](x-3y)(3x-11y)\\3x^{2} - 9xy - 11xy + 33y^{2} \\3x^{2} - 20xy + 33y^{2}[/tex]

9514 1404 393

Answer:

  (d)  $775.50

Step-by-step explanation:

The parallelogram on the left has an area of ...

  A = bh = (4 yd)(2 yd) = 8 yd²

The rectangle in the middle has an area of ...

  A = lw = (6 yd)(4 yd) = 24 yd²

The triangle on the right has an area of ...

  A = 1/2bh = 1/2(1 yd)(2 yd) = 1 yd²

The total area of the carpet is ...

  (8 + 24 + 1) yd² = 33 yd²

__

At $23.50 per square yard, the cost is ...

  ($23.50/yd²)(33 yd²) = $775.50 . . . . . matches the last choice

Answer:

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

3/50 = 60/100

Answer:

u

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(6 ft +5 ft)(10 ft) = 55 ft²

The numerical value of the answer would be 110 if we "forgot" to multiply by 1/2.

The area units would be "square foot inches" if inch dimensions crept into the problem somewhere.

It looks like Taina made two mistakes:

Answer:

5x+x and x+x+4x

Step-by-step explanation:

5x+x is basically 5x+1x which is 6x since x has an "invisible one" in front of it.

x+x+4x is 2x+4x which is 6x

hope this helps. :)

Answer:

4 and 5

Step-by-step explanation:

9x - 3 is 6x

5x + x can be 6x because there's is a x next to it that means it can be any number so if the number is suppose to become 6x we need to add 1 to both sides, and the a swer will be 6x.

sorry of wrong.

Answer:

4in²

Step-by-step explanation:

area of rectangle = l x b = 4 x 1 = 4in²

Answer:

4 in²

Step-by-step explanation:

4x1 is 4 so the answer is 4

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

Answer:

5/12

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator, you must multiply to the numerator as well. The common denominator is 12:

(2/3) * (4/4) = (8/12)

(1/4) * (3/3) = (3/12)

Subtract:

(8/12) - (3/12) = (8 - 3)/12 = 5/12

5/12 is your answer.

~

Answer:

earning the money,depositing the money, and spending the money.

you worked all week to earn the money.

You deposit your money in your account.

You spent some money at American eagle.

Step-by-step explanation:

Answer:

330 the volume of building