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
Korolek [52]
2 years ago
5

Of 585 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, 19​% were mislabeled. ​a) Construct a 99​% 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? ​a) What is the 99​% confidence​ interval? The 99​% confidence interval is from nothing​% to nothing​%. ​(Round to one decimal place as​ needed.)
Mathematics
1 answer:
Dafna1 [17]2 years ago
5 0

Answer:

a) The 99% confidence interval is from 14.8% to 23.2%.

b) The confidence interval tells us that the true proportion of mislabeled is within 14.8% and 23.2%, with a 99% confidence. In other words, if we take samples of the same size, 99% of the samples will have a proportion within 0.148 and 0.232.

c) The confidence interval calculation take into account the sample size, so the width (or precision) of the interval depends on the sample size.

The only criticism that could be analyzed is to see if the sample is representative of the population.

Step-by-step explanation:

a) We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.19.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.19*0.81}{585}}\\\\\\ \sigma_p=\sqrt{0.000263}=0.016

The critical z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.576 \cdot 0.02=0.042

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.19-0.042=0.148\\\\UL=p+z \cdot \sigma_p = 0.19+0.042=0.232

The 99% confidence interval for the population proportion is (0.148, 0.232).

You might be interested in
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
3 years ago
What would be the shortened fraction of 9/120
ale4655 [162]

Answer:

3/40

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 9 and 120 is 3

Divide both the numerator and denominator by the GCD

9 ÷ 3

120 ÷ 3

Reduced fraction:

3/40

5 0
2 years ago
What is the electric field strength at a distance of 15 cm from a point charge that has 12
ivann1987 [24]
The formula is E= kQ/ d^2

k is 9x10^9
i changed 15 cm to 0.15 m

=> 9x10^9 x 12 OVER (0.15)^2

the answer is 4.8x10^12 N/C

but this is the electric field.

to find electric field STRENGTH, it’s E= F/q and you did not give a value for the force
8 0
3 years ago
WILL GIVE MEDAL!! A flight of stairs is supported by two columns as shown. What is the distance from the base of the stairs to t
scoray [572]
There are two triangles: a small one to the left and a big one, which includes the small one. They both have a common angle (the leftmost angle) and since (we can assume) the two columns meet the floor at right angles, they both have two equal angles. This means they are similar (AAA).

Let the distance of the base of the stairs to the tallest column be d.

Because matching sides of similar triangles are in the same ratio,
4 / 6 = d / (6 + 12)
4 / 6 = d / 18
(4 * 18) / 6 = d
d = 12

The answer is C
6 0
3 years ago
Read 2 more answers
write an equation: Great Uncle Wilbert splits his inheritance equally between his five nieces and nephews. Unfortunately each of
Vaselesa [24]
I think it would be 1225000 because:

$7,500 each to the govt each comes out to $37,500 total given 
237,500 each to the kids comes out to 41,187,500 total given 
so adding both totals, you get $1,225,000 total money in Great Uncle Wilbert's inheritance

apparently he was rich xD

<span>
</span>

6 0
3 years ago
Other questions:
  • Given that y = 6 − 5x, which ordered pairs would graph the function that has the domain values shown on the table?
    9·1 answer
  • Multiply 640 times 3 using partial products
    10·2 answers
  • Is this sentence true or false? 2(x+8) = 2x - 8
    15·2 answers
  • Lance is 5 feet tall. His shadow is 8 feet long. At the same time of day trees shadow is 32 feet long. What is the height of the
    5·1 answer
  • A true-false question is to be posed to a husband and wife team. Both the husband and the wife will give the correct answer with
    9·1 answer
  • What is the value of x?
    8·2 answers
  • Which type of data compares two variables
    8·1 answer
  • Can anyone help to answer my previous questions?
    15·1 answer
  • Use the proportion. What is 72% of 150
    8·2 answers
  • I need help with that
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!