Some biologists believe the evolution of handedness is linked to complex behaviors such as tool-use. Under this theory, handedness would be genetically passed on from parents to children. That is, left-handed parents would be more likely to have lefthanded children than right-handed parents. An alternate theory asserts that handedness should be random, with left- and right-handedness equally likely. In a recent study using a simple random sample of n  76 right-handed parents, 50 of the children born were right-handed. ( pˆ =0.658 .) Suppose handedness is a random occurrence with either hand equally likely to be dominant, implying that the probability of a right-handed offspring is p =0.50.

Required:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?

Answers

Answer 1

Answer:

a) Since both np >= 5 and n(1-p) >= 5,  it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.

b) 0.5 = 50% probability of observing a sample proportion of at 0.658.

Step-by-step explanation:

a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.

We need that:

np >= 5

n(1-p) >= 5

Sample of 76, 50 of the children were born were right-handed.

So [tex]n = 76, p = \frac{50}{76} = 0.658[/tex]

np = 76*0.658 >= 5

n(1-p) = 76*0.342 >= 5

Since both np >= 5 and n(1-p) >= 5,  it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.

b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?

This is the mean, so 50% below and 50% above.

0.5 = 50% probability of observing a sample proportion of at 0.658.


Related Questions

Timothy worked 9 hours and earned $7425. How much does he make per
nour at his job?

Answers

He makes 825 per hour

Evaluate the expression 7'2/x'2-2 for X=3

Answers

Answer:

7

Step-by-step explanation:

7²÷3²-2 = 49/9-2 =49/7 =7

PLEASE HELP IM ON A TIME LIMIT!!!

Answers

Answer:

i answered the other question like this check your other question for the answerrs

Step-by-step explanation:


4. Solve for x in each diagram.
a.

108°
156°

Answers

Answer:

x = 48°

Step-by-step explanation:

108° + 24° + x° = 180°132° + x° = 180°x° = 180° - 132°x= 48°

MARK ME AS BRAINLISTPLZ FOLLOW MR

A tape manufacturer has created a new formula that is supposed to be more adhesive on all types of surfaces. Managers wish to conduct an experiment on aluminum and wood to see how well the tape sticks to them. To determine this, they take a random sample of tape with the new formula and use four different weights taped to random places on each of the two surfaces. They will measure how long the tape holds the weights on each surface and compare the times. Which of the following best describes this experiment?a. This is an observational study.b. This is an experiment with blocking.c. The type of surface is a confounding variable.d. This is a double-blind experiment.e. This is a randomized experiment resulting in the placebo effect.

Answers

Answer:

This is an experiment with blocking ( B )

Step-by-step explanation:

The best way to describe this experiment is an experiment with blocking this is because the Type of surface where the tape is been tested can be considered a  blocking variable while the weights can be considered  as treatments

A blocking variable is a variable used in experiment which is not of primary interest to the experiment  observer ( I.e. The tape is supposed to hold on all types of surfaces and not just on Aluminum and wood surface )

asap! add the formula too please!

Answers

Answer:

Step-by-step explanation:

can someone pls help me on this

Answers

Answer:

48

Example:

Just multiply them.

Answer:

If you multiply them all together it equals 48 degrees

HALPPPPP!!
Find k if the line y = kx-5 passes through the point (-6,14)

Answers

Answer:

k=-19/6

Step-by-step explanation:

y=kx-5 (-6, 14)

14=k(-6)-5

14=-6k-5

-6k=14+5

-6k=19

k=19/-6

help of you can.

An equation is shown below:

4x + 2(x − 3) = 4x + 2x − 11

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answers

Answer:

Part A:  No Solution

Part B:  Distributive Property

Step-by-step explanation:

4x + 2x - 6 = 6x - 11

6x - 6 = 6x - 11

-6 ≠ -11

No Solution

Answer:

Part A. Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Part B. Distributive Property

Step-by-step explanation:

Simplifying

4x + 2(x + -3) = 4x + 2x + -11

Reorder the terms:

4x + 2(-3 + x) = 4x + 2x + -11

4x + (-3 * 2 + x * 2) = 4x + 2x + -11

4x + (-6 + 2x) = 4x + 2x + -11

Reorder the terms:

-6 + 4x + 2x = 4x + 2x + -11

Combine like terms: 4x + 2x = 6x

-6 + 6x = 4x + 2x + -11

Reorder the terms:

-6 + 6x = -11 + 4x + 2x

Combine like terms: 4x + 2x = 6x

-6 + 6x = -11 + 6x

Add '-6x' to each side of the equation.

-6 + 6x + -6x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0

-6 + 0 = -11 + 6x + -6x

-6 = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0

-6 = -11 + 0

-6 = -11

Solving

-6 = -11

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Help needed with this

Answers

Answer:

Choice 3 is not a function.

For a set of coordinates to be a function, there must be exactly one y-value for every x-value.

For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.

This means, that choice 3 is NOT a function.

Let me know if this helps!

which phrases represent the expression k/2 - 5

Answers

Answer:

K over two minus five

Step-by-step explanation:

I think?

Given the parent functions f(x) = 3x + 2 and g(x) = 5^x - 10, what is g(x) – f(x)? (2 points)
оа
g(x) = f(x) = 5^x- 8 - 3x
Ob
g(x) = f(x) = 5^x - 12 - 3x
ос
g(x) – f(x) = 3x - 8-5^x
Od
g(x) – f(x) = 3x + 12-5^x

Answers

g(x) - f(x) = 5^x - 12 - 3x

A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?

Answers

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8

Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =-
y-intercept, b =7
7

Answers

Step-by-step explanation:

y = mx + b

y = -7x + 7

this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.

A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River. Use the formula t=h−−√4 to find how many seconds it takes for the hammer to reach the river. Round your answer to the nearest tenth of a second.

Answers

Answer:

15.8

Step-by-step explanation:

We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find

t=4000−−−−√4=15.8

So, the hammer reaches the river after 15.8 seconds.

(x^8+2x^4+1)+(2x^4+x^2+1)

Answers

Your problem → (x^8+2x^4+1)+(2x^4+x^2+1)

(x^8+2x^4+1)+(2x^4+x^2+1)

=x^8 + 2x^4 + 1 + 2x^4 + x^2+1

=x^8+2x^4+2x^4+x^2+1+1

=x^8+4x^4+x^2+2

Interest of 200 million dollars 53% and 22 years will give brainliest to correct answer

Answers

Answer:

$2,313,150,687,166.22 is the interest accrued.

Step-by-step explanation:

Hope this helps

Answer:

$2,313,150,687,166.22 is the interest

Step-by-step explanation:

hope this helps.

The sum of three numbers is 123. The second number is 8 more than the first. The third number is 3 times the first. What are the numbers ?

First number: 23

Second number: 31

Third number: 69

Answers

Answer:

That is correct

Step-by-step explanation:

if you add all those numbers together, it will add up to 123... i think

3.- Una persona pinta el interior de un cuadrado de lado 15m, si antes de pintarlo
comete un error al medir la longitud de los lados de 0.2m, resolver por diferencial
(a).- ¿Cuál es el error máximo en el área de pintado (cuanto de diferencia de área
pinto más debido al error).​

Answers

Answer: SOrry no espanypol

Step-by-step explanation:

Which is larger:
A. the absolute value of 12
B. the absolute value of -15

Answers

Answer:

A

Step-by-step explanation:

I am pretty sure this is right and I hope this helps

Answer:

B. the absolute value of -15

Step-by-step explanation:

Ok so,

lets rewrite them for it to make sense

| 12 |  = 12

| - 15 | = 15

so now the question is "which is larger 12 or 15?" and the answer is 15 obvs lol

" | " = means absolute value

hope this helps have a good day!

There are 1/6 gallons of water in a 2/3 gallon container. What fraction of the container is filled?

Answers

Answer:

1/4

Step-by-step explanation:

2/3 multiply top and bottom of fraction by 2

4/6 is the capacity of the container

1/6 is filled

so 1/4 of the container is filled

Answer:

1/4

Step-by-step explanation:

it takes 2/6 per each 1/3 of a gallon there for there would be 4/6 in 2/3

Please please give answer

Answers

Answer:

40 square cm

Step-by-step explanation:

2(l + b) = 28

(l + 4) = 28/2

l + 4 = 14

l = 14 - 4

l = 10 cm

Area = lb = 10*4 = 40 square cm

2x-5y + 11=0 3x-4y=18​

Answers

Answer:

x = 134/7

y = 69/7

Step-by-step explanation:

let the x or y have a same coefficient to have a better way to solve it

Find the circumference of the circle.
4 mi
Find The circumference
(Type an exact answer in terms of pie)

Answers

Answer:

Circumference of a circle-

2 x Pi x Radius

2x Pi x 4

8Pi

ANSWER-8Pi

Hope it Helps!!

Can Some please help

Answers

Answer:

First we need to find out how much is 1 inch in feet

80/5

=16

Now we just simply need to multiply

16x3/4

=12

Your answer is 12

Hope it Helps!!

I need this done in 10mins

Answers

Answer:

Socko gained 3/5 kg from month 1 to month 2.

Step-by-step explanation:

Socko mass was 3/10 kg in month 1 and 9/10 kg in month 2.

The amount of mass he gained is k.

3/10 + k = 9/10

Subtract 3/10 from both sides.

k = 6/10

Reduce the fraction.

k = 3/5

Answer: Socko gained 3/5 kg from month 1 to month 2.

what is the prudct of 7\9 and 6

Answers

Answer:

378

Step-by-step explanation:

9 × 7 × 6 = 378

pls mark brainliest, if not, its ok :)

Answer:

14/3, or 4.6^bar

Step-by-step explanation:

first you'd just divide 7 by 9, resulting in [tex]\frac{7}{9}[/tex], or 0.7^bar.

Then you'd multiply either by 6, resulting in the answers above. Fractions are easier than infinite numbers, so if you're able to do that, I'd suggest you do so.

Hope this helped!

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
OA 9 units, 12 units
OB. 11 units, 10.2 units
OC 4.9 units, 15.8 units
OD 4.9 units, 14.2 units
OE 5.2 units, 14.1 units

Answers

Answer:

D) 4.9 units, 14.2 units

Step-by-step explanation:

I assume that we will be using trigonmetry as this is a right triangle

The two ratios that will be used are CAH (Cosine = adjacent/hypotneuse)

and SOH (Sine = opposite/hypotneuse)

While it does not matter which acute angle the problem is to, I decided to set up the triangle like so in the picture attached

This means x = adjacent and y = opposite here

Now we just need to plug in the numbers to find the missing variables

x) cos(19) = x/15

(15)cos(19) = x/15(15)

~14.2 = x

y) sin(19) = y/15

(15)sin(19) = y/15(15)

~4.9 = y

Hope that helps a bit

I took waaay too long to explain this lol

The value of x for the triangle is 14.2 and the value of y is 4.9. The correct option is D.

What is trigonometry?

Trigonometry is the branch of mathematics that establishes a relationship between the sides and angles of a right-angle triangle.

The mathematical trigonometric functions, sometimes referred to as circle, angle, or goniometric functions, relate the angle of a right-angled triangle to the ratios of its two side lengths.

Calculate the value of x as below,

xcos(19) = x/15

(15)cos(19) = x/15(15)

14.2 = x

The value of y is calculated as,

ysin(19) = y/15

(15)sin(19) = y/15(15)

4.9 = y

To know more about trigonometry follow

https://brainly.com/question/20726216

#SPJ7

Does the graph represent a function? (will give BRAINLIEST)​

Answers

Answer:

yes, because they are both equal angles.

Step-by-step explanation:

though if it was a curved line it would be a true function

I need help on this. Can someone pls help me

Answers

Answer:

2

2

3x

Step-by-step explanation:

1.) we can divide both sides by three to get

(3x+6)/3=x+?

x+2= x+?

from here we can tell that ?=2

2.) Let's start by dividing both sides by negative one

(x-2)/ -1= ?-x

simplify

-x+2= ?-x

Here we get ?= 2

3.)

Let's mulitply both sides by 5 to get

15x-10= 5(?-2)

15x-10 = 5?-10

15x= 5?

3x= ?

the answer here is 3x

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