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
AlladinOne [14]
3 years ago
15

For a certain population of men, 8 percent carry a certain genetic trait. For a certain population of women, 0.5 percent carry t

he same genetic trait. Let p^1 represent the sample proportion of randomly selected men from the population who carry the trait, and let p^2, represent the sample proportion of women from the population who carry the trait.
1. For which of the following sample sizes will the sampling distribution of p^1 - p^2 be approximately normal?
(A) 30 men and 30 women
(B) 125 men and 20 women
(C) 150 men and 100 women
(D) 200 men and 2,000 women
(E) 1,000 men and 1,000 women
Mathematics
1 answer:
Lena [83]3 years ago
5 0

Answer:

(D) 200 men and 2,000 women

Step-by-step explanation:

To have an approximately normal distribution for the difference between proportions, we have to have sample sizes that are big enough to satisfy this conditions:

np>10\\\\n(1-p)>10

For men, we have p=0.08, so we have:

n*0.08>10\Rightarrow n>125\\\\n(1-0.08)=n*0.92>10 \Rightarrow n>11

The sample size for men has to be at least 125 individuals.

For women, we have p=0.005:

n*0.005>10\Rightarrow n>2000\\\\n(1-0.005)=n*0.995>10 \Rightarrow n>11

The sample size for women has to be at least 2000 individuals.

The option that satisfy the requirements for men and women is Option D, as the others don't have enough sample size for women.

You might be interested in
Which of the following statements is false?
nikklg [1K]

Answer:

B. Given quadrilateral ABCD, BC⎯⎯⎯⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯⎯⎯⎯ are adjacent

Step-by-step explanation:

A. A square has 4 congruent sides and 4 congruent angles, so it is a regular polygon. True.

B. Draw the quadrilateral and label the vertices in the order shown. Given quadrilateral ABCD, BC and AD are opposite sides, not adjacent sides. False.

C. All angles of a rectangle are right angles that measure 90 degrees. True.

D. True by a theorem.

4 0
3 years ago
Read 2 more answers
How do i solve this?
timofeeve [1]

(f - g)(x) = f(x) - g(x)

… = (3x² - 4) - (4x + 1)

… = 3x² - 4x - 5

3 0
3 years ago
How many 3/10 size are in 3 wholes​
Olegator [25]

Answer:

9/10

Step-by-step explanation:

multiply 3/10 by 3.

3/10 x 3/1  =

3x3/10x1 =

9/10

7 0
3 years ago
Read 2 more answers
Determine which is the better buy
den301095 [7]

Malay ko

Icompute mo para alam mo

6 0
2 years ago
Over which interval on the x-axis is there a negative
trapecia [35]
4 I’m not that sure though
5 0
3 years ago
Other questions:
  • How many 1000s are in 287,123
    12·2 answers
  • Is the equation 3 +z=-19 true,false,open
    7·2 answers
  • Which model represents the product of One-fifth × One-sixth? A fraction bar divided into 30 parts. 5 are shaded. A fraction bar
    7·1 answer
  • F(x)=2x – x(2) - 2 Can you also solve it for me
    8·1 answer
  • Express the following 48-bit binary MAC address in hexadecimal 11101100 – 00100111 – 10111001 – 11010101 – 01101111 – 10100011
    5·2 answers
  • Jason started last week with $900 in his checking account. During the week, he wrote the checks below.
    15·2 answers
  • If a town with a population of 2,000 doubles in size every 48 years, what will the population
    5·1 answer
  • Round to the nearest hundredth 5.0927
    8·2 answers
  • A zoo worker works 189.25 hours in 23 days. If she works the exact same number of hours per day, how many hours does she work ea
    12·1 answer
  • Express your answer in scientific notation.<br> 4.9 X 10^5 – 5.8 X 10^4<br><br> WILL MARK BRAINLIST
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!