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
My name is Ann [436]
3 years ago
13

According to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store. Assume t

his is the true proportion and you plan to randomly survey 101 grocery shoppers to investigate their behavior. What is the probability that the sample proportion exceeds 0.16?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

The probability that the sample proportion exceeds 0.16 is 0.2061.

Step-by-step explanation:

We are given that according to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store.

You plan to randomly survey 101 grocery shoppers to investigate their behavior.

Let \hat p = sample proportion

The z-score probability distribution for the sample proportion is given by;

                               Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample population = 0.16

           n = sample of grocery shoppers = 101

Now, the probability that the sample proportion exceeds 0.16 is given by = P(\hat p > 0.16)

  P(\hat p > 0.16) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{0.16-0.13}{\sqrt{\frac{0.16(1-0.16)}{101} } } ) = P(Z > 0.82) = 1 - P(Z \leq 0.82)

                                                               = 1 - 0.7939 = <u>0.2061</u>

The above probability is calculated by looking at the value of x = 0.82 in the z table which has an area of 0.7939.

You might be interested in
100 points!!! PLEASE ANSWER IT HOW I HAVE IT IN ORDER!!
Anvisha [2.4K]

Answer: Have a good day. I’m sorry you have to go through this, my head already hurts and I am just lōoking at it.

8 0
3 years ago
Read 2 more answers
A tennis court measures 23.2 m by 12 m. What is its perimeter?
posledela

To get perimeter, you simply add all the side lengths. So we will ad 23.2 + 23.2 + 12 + 12 = 70.4

The perimeter is 70.4 m

7 0
3 years ago
Read 2 more answers
How many arrangements of three letter can be formed from the letters of the word MATH if anyletter will not be used more than on
Mariulka [41]

Combinations = n! / (n - r)! r!

C\text{ = }\frac{n!}{(n-r)!\text{ r!}}\text{ }

In this case:

n = 4

r = 3

Combinations = 4! /(4-3)! 3! = 24/(1)(6) = 24/6 = 4

Answer:

4 arrangements

7 0
1 year ago
What type of lines are shown on the graph on the right? Explain your answer.
Trava [24]

Answer: <em>Parallel lines</em>

Step-by-step explanation:

<em>These lines are </em><em>Parallel</em><em> due to the fact that they will never cross each other. Since they are both perfectly lined up with each other, this makes them </em><em>Parallel.</em>

6 0
3 years ago
What is 2+2? I NEED HELP ASAP!
FromTheMoon [43]

Answer:

4

Step-by-step

dam its so simple it hurts my brain

8 0
3 years ago
Other questions:
  • Which function is linear?
    9·1 answer
  • A box contains only black and white chips. There are 8 black chips and 6 white chips. How many white chips must be removed so th
    14·1 answer
  • Intersection point of Y=logx and y=1/2log(x+1)
    15·1 answer
  • In the diagram, m∠F = 60°.
    12·2 answers
  • What 8s the answer please I need help
    6·2 answers
  • Right triangle XYZ, with vertex _Y at (-3,0), is rotated clockwise 180° about the origin. Which of the following rotations is
    12·1 answer
  • Create two linear functions that are parallel.
    7·1 answer
  • How do I find the area of a trapezoid?​
    13·1 answer
  • Find f (-2) if f (x)=4x+1
    8·2 answers
  • If the simple interest on ​$1000 for 2 years is ​$​100, then what is the interest​ rate?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!