At a large company banquet for several thousand employees and their families, many of the attendees became ill the next day. The company doctor suspects that the illness may be related to the fish, one of three options for the main course. Because all the dinner guests had to preorder their meal, the doctor was able to randomly select and contact 80 people that ate the fish, of which 64 people got sick. The doctor also randomly selected (and contacted) 60 people that did not eat the fish, of which 39 people got sick. The doctor also knows that at least 1000 attendees ordered the fish.

Required:
a. Is this convincing evidence that the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick?
b. Which mistake (a Type I error or a Type II error) could you have made? Interpret the potential error in context.

Answers

Answer 1

Answer:

a. Yes.  This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.

b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error.   A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected.  While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.

Step-by-step explanation:

Total number of attendees who ordered fish = 1,000

Sample size of the attendees who ate fish = 80

Number of attendees who ate the fish and got sick = 64 (80% or 64/80)

Sample size of attendees who did not eat fish = 60

Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)

Answer 2

Part A: The given evidence is convincing to provide the true proportion regarding the attendees.

Part B: The error is a type 1 error in the hypothesis testing.

Type 1 Error and Type 2 Error

A type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.

A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.  

Given that, the total number of attendees who ordered fish is 1000. The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.

The number of attendees who ate the fish and got sick is calculated as given below.

No. of attendees =[tex]\dfrac {64}{80}[/tex]

% of No. of attendees = [tex]\dfrac {64}{80}\times 100[/tex]

% of No. of attendees = 80%

The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.

The number of attendees who did not eat the fish and got sick is calculated as given below.

No. of attendees  = [tex]\dfrac {39}{60}[/tex]

% of No. of attendees =[tex]\dfrac {39}{60} \times 100[/tex]

% of No. of attendees = 65%

Part A

The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.

Part B

The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.

This error is a type 1 error in the hypothesis testing.

To know more about the type 1 and type 2 errors, follow the link given below.

https://brainly.com/question/20914617.


Related Questions

Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 

Answers

9514 1404 393

Answer:

  $6475.56

Step-by-step explanation:

The maturity value is ...

  A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.

The loan value is ...

  A = $6200(1 + 0.10×4/9) ≈ $6475.56

Stephen's loan has a maturity value of $6,475.56.

The ice cream store offers schools a discount of 12% for the month of June. The school decides to purchase ice cream bars for the end of the year picnic.
a. How much money would the school save if the school purchased 55 boxes of ice cream? Show your work and write your answer in the space below.
b. What is the total price with the discount for 55 boxes of ice cream?

PLS HELP ME!!!​

Answers

Answer:

Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person

Step-by-step explanation:

Are you also a simp for draco? :3

a. Draw a rectangle with an
area of 39 squares, and
perimeter of 32 units.
a

Answers

Answer:

It has side lengths of 3 and 13

Step-by-step explanation:

If it has an area of 39, then let the sides be x and y: thus we get the two relationships:

xy=39

2(x+y)=32

From the second equation, you get x+y=16. Now, rearrange to get y=16-x. You can now plug this into the first equation:

x(16-x)=39 -> 16x-x^2=39 -> x^2-16x+39=0 -> (x-3)(x-13)=0

This implies that x=3, or x=13, which further implies that the side lengths must be 3 and 13.

Sam has saved 1400 cents from selling lemonade how many dollars does Sam have

Answers

Answer: $14.

Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.

What is the solution to the equation 37x = 9x + 4?

-7

-1/7

1/7

7

Answers

37x = 9x + 4

37x - 9x = 4

28x = 4


x = 7

Answer: The solution is C. 1/7.

Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.

Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7

Answers

y=3x+1

explanation
4=3(0)+b
4=3+b
b=1

the ratio of the angle measures of a triangle are 3:3:4 what angle measures the triangles classification ​

Answers

Step-by-step explanation:

sum of the ratio=3+3+4=10

now,

angle I = 3/10×180=54

angle II= 3/10×180=54

angle III=4/10×180=72

that shows th given triangle is isoceles


b) A car priced at $3600 is reduced by 25%.
What is the reduced price?

Answers

3600:25 =144

reduced price is 144$


1. Each letter in VALENTINE is written on a separate piece of paper and put into a bag.
You randomly choose a piece of paper from the bag. Find the probability of choosing an
E

Answers

Answer:

2/9

Step-by-step explanation:

two e with a total of 9 letters

Select all sports that apply (you may select more than one). The underhand serve is used in...

Badminton
Tennis
Soccer
Pickleball
Voleybal.


Answers

Volleyball, tennis and badminton , I think
Volleyball
Badminton (i believe )

PLEASE HELP FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? - 466
99
36h
2x2 – 6y?

Answers

Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.

Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193

Answers

193=2y+y+7
193=3y+7
186=3y
62=y
Yolanda is 62 inches tall and Linda is 69 inches tall.

solve the question 7 _ 2 3/7​

Answers

Answer:

Do you mean 7 - 2 and 3/7?

If so:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

32 /7

Decimal Form:

4. 571428

Mixed Number Form:

4  and 4 /7

Step-by-step explanation:

Have a great day!

Answer:

3.7 the answer.........

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = x + 12

Step-by-step explanation:

y -16 = 1(x-4)

y -16 = x -4

y =x +12

Answer:

its y = x + 12 I think I hope it helps

Step-by-step explanation:

because

4 + 12= 16

5 + 12 = 17

6 + 12 = 18

7 + 12 = 19

A number that adds with 2/3 substrate 1/3 will be 8.What should be the number??​

Answers

Answer:

The number is [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

I am going to call the number x.

A number that adds with 2/3 subtract will 1/3 will be 8.

As an equation, this is:

[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]

Now we solve the equation to find x. So

[tex]x + \frac{2-1}{3} = 8[/tex]

[tex]x + \frac{1}{3} = 8[/tex]

[tex]x = 8 - \frac{1}{3}[/tex]

[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]

[tex]x = \frac{24-1}{3}[/tex]

[tex]x = \frac{23}{3}[/tex]

The number is [tex]\frac{23}{3}[/tex]

Can somebody please answer the question giving brainliest!

Answers

Answer:

A counter clockwise

Step-by-step explanation:

Alonzo makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer:

25

Step-by-step explanation:

items? How many of each
ina
3.Reina has 40 pieces of bananas, 48 pieces of atis and 36 pieces of chicos. She
wants to put them equally in the plastic bag. How many possible number of
each fruit will be placed in the plastic bag?​

Answers

Answer:

36

Step-by-step explanation:

If I understood your question right, it means that Reina wants to put equal amounts of fruits into the bag. Also it suggests that the volume of the bag is not limited.

Since 36 < 40 < 48, the largest amount of each kind of fruits in the bag can be 36. Otherwise Reina wouldn't be able to put more chinos and the amount of each fruit in the bag wouldn't be equal.

Assuming that the smallest amount of fruits in the bag is one (the bag is not empty), there are 36 possible numbers (from 1 to 36) of each fruit.

Can removing two outliers not have an effect on the mean? Justify your responses.

Answers

It will have an effect on the mean, especially since they are outliers and are very different from the norm, they greatly affect the average; unless both of the outliers have an equal distance from the mean, they will affect the mean.

Sixty less than ten times ten

Answers

Answer:

40

Step-by-step explanation:

10x10=100

100-60=40

Hope this helps! :)

Complete the last row for a different batch size that hasn’t been used so far in the table. Explain or show your reasoning.

Answers

vanilla x 2.5 = flour
for example: 10 x 2.5 = 25

What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane

•9
•12
•14
•15

Answers

Answer:

15 units

Step-by-step explanation:

[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]

[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]

[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]

Hope it helps....

Find the area of the triangle.
4ft
ift
8ft
[? ] ft2

Answers

there is no triangle attached

What is the coefficient in the following expression

5+3x+ (-3)​

Answers

Answer:

The coefficient is 3.

Step-by-step explanation:

The coefficient is the number that is grouped with an unknown number represented by a letter.

Please Help, 20 points and brainiliest, URGENT.

Answers

Answer:

Step-by-step explanation:

∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.

∠D = ∠B

∠A = ∠E

△ABC and △EDC are similar because they have the same angles.

Find the missing length in the right triangle.


Answers

Answer:

10 ft

Step-by-step explanation:

By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.

[tex]6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?[/tex]

Answer: 10ft

Step-by-step explanation:

Pythagorean Theorem- In a right triangle, a²+b²=c² where: (image attached)

a=6ft ; b=8ft

6ft²= 36ft ; 8ft²= 64ft

36+64=100ft

√100= 10ft

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you
get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the
record, and he needs 18,000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.
Graph the solution set to this inequality.
+
352
350
354
356
358
360
362
364
Switch direction
Make circle open

Answers

He needs 18,000 points.

He starts with 100, so subtract the 100 from 18,000 to get how many more points he needs:

18000 - 100 = 17,900 more points.

Divide the points needed by points per word:

17,900 / 50 = 358

He needs at least 358 words.

The inequality would be 50x+100>=18000, where x is the number of words.

Because 358 can be part of the solution, a solid dot on 358 and the line/arrow needs to point to the right for greater than.

Need to find the greatest common factor

Answers

Answer: The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

Step-by-step explanation:

write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY

Answers

Answer:

The answer is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x - 5 = y

6 - 5 = 1

Hope that helps!

Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game

Answers

16 correct answers

(-80 divided by -5)
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