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
Andreas93 [3]
2 years ago
6

a study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. th

e study seeks to determine if the proportions of men and women who dislike anchovies are different. a sample of 41 men was taken and the p^ estimate for the true proportion of men who dislike anchovies was determined to be 0.67. a sample of 56 women was also taken and the p^ estimate for the true proportion of women who dislike anchovies was determined to be 0.84. are the requirements satisfied to perform this hypothesis test
Mathematics
1 answer:
e-lub [12.9K]2 years ago
3 0

Answer:

d. No because n·(1 - \hat p) = 8.96 is less than 10

Step-by-step explanation:

Question options;

a. Yes because the sample sizes of both groups are greater than 5

b. Yes, because in both cases n·\hat p > 10

c. Yes, because we know that the population is evenly distributed

d. No, because the n·(1 - \hat p) is less than 10

Explanation;

The given data are;

The number of men in the sample of men, n₁ = 41

The proportion of men who dislike anchovies, \hat p_1 = 0.67

The number of women in the sample of women, n₂ = 56

The proportion of men who dislike anchovies, \hat p_2 = 0.84

The assumptions for an analysis of the difference between means using a T-test are;

1) The data should be from a random sample of the population

2) The variables should be approximately normal (n·\hat p ≥ 10, and n·(1 - \hat p) ≥ 10)

3) The scale of the data is a continuous ordinance scale

4) The sample size should be large

5) The sample standard deviations should be approximately equal

From the requirement for normality, we have;

For the sample of men, n₁·\hat p₁  = 41 × 0.67 = 24.47 > 10

n₁·(1 - \hat p₁) = 41 × (1 - 0.67) = 13.53 > 10

For the sample of women, n₂·\hat p₂  = 56 × 0.84 = 47.04 > 10

n₂·(1 - \hat p₂) = 56 × (1 - 0.84) = 8.96 < 10

Therefore, the for n₂·(1 - \hat p₂), the sample does not meet the requirement for normality

The correct option is d. No because n₂·(1 - \hat p₂) = 8.96 is less than 10

You might be interested in
Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Tasya [4]

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.  

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3).  The negative inverse is (3/2), which will be the slope of a perpendicular line.  We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular.  But we want a value of b that will shift the line so that it intersects the point (-3,-5).  Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

6 0
1 year ago
Write the rate as a fraction in simplest form: 492 miles in 8 hours.
Lostsunrise [7]
123 miles 2 hours

Tanks
8 0
3 years ago
Answer all please ❤️
IRINA_888 [86]
1: 0.5 and 50%

2: .2 and 20%

3: .75 and 75%

10: (1/10) and 10%

11: (3/5) and 60%

12: (1/4) and 25%
6 0
3 years ago
Read 2 more answers
The cost of t-shirts varies directly with the number of t-shirts. The data is shown in the graph. If x = is number of t-shirts,
Lera25 [3.4K]
The answer is y = 5.5x, so B
3 0
3 years ago
Read 2 more answers
A muffin recipe calls for 3 cups of flour for 24 muffins. If you want to make 108
vladimir2022 [97]

Answer:

13.5

Step-by-step explanation:

3 cups for 24 muffins

x cups for 108 muffins

x=(108*3)/24

x=13.5

8 0
3 years ago
Other questions:
  • The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 31
    11·2 answers
  • How do you simplify 30/20???<br><br> PLEASE<br><br> HELP
    12·1 answer
  • Which polygon has an interior angle sum of 900°
    15·2 answers
  • Answer the question please
    15·2 answers
  • Factorize (4y-5)²+80y ​
    9·2 answers
  • Guybrush owns an island monkey preserve which has a length of 2x + 1 units and a width of x – 4 units. If the island is 1,586 sq
    5·1 answer
  • The circumference of a circle is 31.4 centimeters. what is the area of the circle?
    5·1 answer
  • El precio de una pasta de dientes subió en un 73%. Si su precio original es de 1650 pesos. Para calcular su precio final debo ap
    6·1 answer
  • A baker has baked 10 loaves of bread so far today and plans on baking 3
    11·1 answer
  • What is the area, in square centimeters, of a rectangle whose length is 120
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!