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
sergiy2304 [10]
3 years ago
7

Of 560 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared

to standard gene fragments that can identify the​ species, 56​% were mislabeled. ​a) Construct a 90​% confidence interval for the proportion of all seafood sold in the country that is mislabeled or misidentified. ​b) Explain what your confidence interval says about seafood sold in the country. ​c) A government spokesperson claimed that the sample size was too​ small, relative to the billions of pieces of seafood sold each​ year, to generalize. Is this criticism​ valid?
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

a) (0.5256,0.5944)  

c) Criticism is invalid

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 560

Proportion of mislabeled = 56%

\hat{p} = 0.56

a) 90% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.64

Putting the values, we get:

0.56\pm 1.64(\sqrt{\dfrac{0.56(1-0.56)}{560}}) = 0.56\pm 0.0344\\\\=(0.5256,0.5944)

b) Interpretation of confidence interval:

We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.

c) Validity of criticism

Conditions for validity:

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

Verification:

560\times 0.56 = 313.6>10\\560(1-0.56) = 246.4>10

Both the conditions are satisfied. This, the criticism is invalid.

You might be interested in
Based on the figure below, what is the value of x?
ololo11 [35]

Answer:

option C is the correct answer

6 0
3 years ago
Travis wants to solve a quadratic equation. Since his equation cannot be factored, Travis has to graph the equation and approxim
SOVA2 [1]

Answer:

The correct answer is B.

Step-by-step explanation:

In order to find this, calculate out the discriminant for each of the following equations. If the discriminant is a perfect square, then it can be factored.

Discriminant = b^2 - 4ac

The only of the equations that does not yield a perfect square is B. The work for it is done below for you.

Discriminant = b^2 - 4ac

Discriminant = 7^2 - 4(2)(-5)

Discriminant = 49 + 40

Discriminant = 89

Since 89 is not a perfect square, we cannot factor this.

6 0
2 years ago
Read 2 more answers
Add 8 5/9 + 3 5/6 + 6 4/9
erica [24]
18.8333333333is the answer
5 0
3 years ago
Read 2 more answers
Classify the triangle by its sides. please answer asap. thank you so much!!​
gizmo_the_mogwai [7]

Answer:

The answer is Scalene triangle.

Step-by-step explanation:

A scalene triangle is a triangle that has sides that are not the same.

4 0
3 years ago
Read 2 more answers
Uh, I need help with this question (10 points)
Igoryamba

Answer:

2 cups

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Which statements correctly compare the two​ numbers?
    12·2 answers
  • At a new exhibit in the museum of science, people are asked to choose between 90 or 120 random draws from a machine. The machine
    7·1 answer
  • A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is
    14·2 answers
  • Could someone please help me with this?
    8·2 answers
  • Please help urgently extra points and mark brainlist
    8·1 answer
  • The price of a pair of pants decreased from $49.99 to $19.95. What was the percent decrease in the price?
    12·1 answer
  • 2. 2 1 1 3
    5·1 answer
  • What is something that only a college can offer? Don't need any lame and commonly used answers like meeting new people, experts,
    14·1 answer
  • ON TIMER!!!
    7·1 answer
  • Answer the 2 questions.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!