A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha ​: p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?

Answer:

The value is   [tex]p-value  =  0.22663[/tex]

Step-by-step explanation:

From the question we are told that

    The proportion of bruised tomatoes p =  0.08

    The  null hypothesis is  [tex]H_o  :   p =  0.08[/tex]

    The alternative hypothesis is  [tex]H_a  :  p >  0.08[/tex]

    The sample size is  n  =  600

    The number of bruised tomatoes from the sample selected is  k  =  53

    The test statistics is  z =0.75

Generally the p-value is mathematically represented as

      [tex]p-value  =  P(Z > z)[/tex]

=>    [tex]p-value  =  P(Z > 0.75)[/tex]

From the z-table  

    [tex]P(Z > 0.75) =  0.22663[/tex]

So  

    [tex]p-value  =  0.22663[/tex]

Answer:

P-value ≈ 0.2266

Step-by-step explanation:

What is 2. 1.
— • —?
3. 2


Simplify to the lowest terms.
PLEASE HELP ASAP!! 20 points!!!

A. 1
—
6

B. 1
—
4

C. 1
—
3

D. 1
—
2

A college Statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person answered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergraduate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached.

Required:
a. Did every telephone number that could occur in that community have an equal chance of being generated?
b. Did this method of generating telephone numbers result in a simple random sample (SRS) of local residences? Explain.
c. Did this method generate an SRS of local voters? Explain.
d. Is this method unbiased in generating samples of households? Explain.

After three plays in which a football team lost 7 yd, gained 3 yd, and
lost 1 yd, respectively, the ball was placed on the team’s own 30-yd line.
Where was the ball before the three plays?

Which ratios approximate pi ​(​)?
Select all the ratios that approximate pi ​(​).
A.
​66:21
B.
​60:20
C.
​21:7
D.
​45:15
E.
​22:7

Stacey and her friend went to Outback Steakhouse and spent $45. They wanted to leave a 20% tip, because the service was terrific. What was the total cost of the bill with tip?

What do the factors in the factored form represent?

the slope of a hill 3/190. The Hill has a ride of 400m. What is the horizontal distance covered by the hill?​

plz help. its easy brainliest

Solve 27 * 9


help and explain this to me! im in 6th grade so dont make it to hard

if side of the triangle in 8cm and side 2 is 5cm, then what is the possible range for the length of the third side of the triangle?​

What is the value of the expression below.
||3-7| - |-6+3||

Calculate 3cm ,4cm, 10cm and 2cm

Question 9 of 25
What is the measure of angle b
А
35
C
B

In the figure shown, r l l s

A birthday celebration meal is $47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.
th
The total cost is $

g(x) = -4x – 5
f(x) = -4x - 1
Find g(-6) + f(-6)

Lanie works part-time at Sweet Treats Catering. She earns $13.25 per hour and work 25 hours a
week. She is paid semi-monthly.
a. Calculate her gross pay for 1 paycheck. Show all your math calculations.

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x=x-5

who got the answer to this ?
(4x^2+6+7)-(-8x^2-2x+6)

For a small charge, you arrange to have the hardware store deliver your purchase for you

You pay for your purchase, plus the sales tax, plus the delivery charge.

Anyone want to try this?

I’ll give the answer later.

If your try doing this then... good luck! :)

What is 5 tens + 5 tens in standard form

I need help on it pls​

If (6, -5) is reflected across the y = -x the new point would be:

A.
(-5, -6)

B.
(5, -6)

C.
(5, 6)

D.
(-5, 6)

Mrs Buchanan is planning

A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is

Is <1 and <7 supplementary

You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.

Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4

The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by

g(x)= f(x^3-x )

Required:
What is the value of g (3)?

Angine and kenny play online video games. Angine buys 1 software package and 2 months of game play. Kenny buys one software package and 4 months worth of game play. Each software package cost $20. If their total cost $142, what is the cost of one month of gameplay?

Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
Olfa student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.