1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Goshia [24]
2 years ago
6

Some biologists believe the evolution of handedness is linked to complex behaviors such as tool-use. Under this theory, handedne

ss 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 ?
Mathematics
1 answer:
hoa [83]2 years ago
4 0

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 n = 76, p = \frac{50}{76} = 0.658

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.

You might be interested in
A corn vendor at a farmer’s market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.
Sliva [168]

Answer:

The bag of 8 ears of corn

Step-by-step explanation:

2.56/8 = .32 per ear of corn

4.32/12 = .36 per ear of corn

8 0
2 years ago
How do I solve 5x - 4x^2
Sever21 [200]

Answer:

If you are asking,

5x - 4x^2=0

x(5-4x)=0

Either,

x=0

or,

5-4x=0

x=5/4

If factor,

5x - 4x^2

x(5-4x)

If difference,

5x - 4x^2

The same as they are not like terms.

7 0
2 years ago
Martin uses his power saw every 15 seconds.How many times did he use it in one hour ?​
Alina [70]

Answer:

  1. 60<em><u>÷</u></em><em><u>15</u></em><em><u> </u></em><em><u>=</u></em><em><u>4</u></em><em><u> </u></em>

<em><u>Therefore</u></em><em><u> </u></em><em><u>Martin</u></em><em><u> </u></em><em><u>uses</u></em><em><u> </u></em><em><u>his</u></em><em><u> </u></em><em><u>power</u></em><em><u> </u></em><em><u>saw</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>times</u></em><em><u> </u></em><em><u>in</u></em><em><u> </u></em><em><u>one</u></em><em><u> </u></em><em><u>hour</u></em><em><u> </u></em>

7 0
3 years ago
Read 2 more answers
Round off 174 to the nearest hundred​
shepuryov [24]

Answer: 200

Step-by-step explanation:

174 rounded to the nearest hundred is:

200

When rounding to the nearest hundred, like we did with 174 above, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

pls mark brainliest!

4 0
3 years ago
Read 2 more answers
During a sale, a store offered a 20% discount on a TV that originally sold for $710. After the sale, the discounted price of the
Mademuasel [1]

Answer:

$681.60

Step-by-step explanation:

<u><em>Given:</em></u>

<em>During a sale, a store offered a 20% discount on a TV that originally sold for $710. After the sale, the discounted price of the TV was marked up by 20%</em>

<u><em>To Find:</em></u>

<em>What was the price of the TV after the markup? Round to the nearest cent.</em>

<u><em>Solution:</em></u>

$710 × (1 + 20%) × (1 - 20%)

$710 × 1.2 × (1-0.2)

$710 × 1.2 × 0.8

($710 × 1.2) × 0.8

852 × 0.8

= $681.60

<u><em>Kavinsky</em></u>

4 0
1 year ago
Other questions:
  • El área de un triángulo es igual a la mitad del producto de la longitud de la base por la longitud de la altura.
    5·1 answer
  • What is the length of a notebook PLZ TELL ME I NEED TO FINISH MY HOMEWORK.thank you for your understanding
    10·2 answers
  • In the figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=60°. What is m∠6?
    13·1 answer
  • Which number is a multiple of 7
    8·1 answer
  • What is the x intercept and y intercept of the equation 7x-2y=14?
    14·2 answers
  • LisaLisa​, an experienced shipping​ clerk, can fill a certain order in 1010 hours. BillBill​, a new​ clerk, needs 1111 hours to
    5·1 answer
  • 4 7/8 - 2 3/8 simplest form
    15·2 answers
  • Customers at a gift shop bought 20 birthday cards, 25 Father's Day cards, 45 mothers day cards, and 35 thank you cards. Suppose
    12·1 answer
  • Select the best equation needed to solve for x; then solve for x.
    8·2 answers
  • The Track Club from the 50 yard – how many inches do they run ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!