A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.

Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

Answers

Answer 1

Answer:

I do believe that it is Option B

(Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.)

Step-by-step explanation:

Answer 2

This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.

What is p-value?

In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed, under the assumption that the null hypothesis is correct.

here, we have,

Given data in the question:

To test whether population proportion p is overstated;

Null hypothesis H₀ : p = (75%) = 0.75  

Alternative hypothesis H₁ : = < (75%) < 0.75

Now, sample proportion p" = 64 / 100 = 0.64

From the dot plot below,

we will determine the p-value for test { P(p" < 0.64)}

The number of times p"<0.64 in 150 simulations is 5

Therefore:

P(p" < 0.64 ) = 5 / 150 = 0.0333

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.

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complete question:

A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.


Related Questions

2x-5=13 is considered a​

Answers

Answer:

x=9

And 2x-5 = 13 is considered an algebraic equation

Step-by-step explanation:

Solve the equation:

2x - 5 = 13

2x = 18

x = 9

Algebraic Equations:

Algebraic equations are equations having variables and require variety of arithmetic functionalities and solutions.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

WILL MAKE BRAINLIEST

Answers

Answer:

75 vitamins = 18 dollars

Step-by-step explanation:

25 vitamins are equal 6 dollars

Answer:

$311.25

Step-by-step explanation:

Hope its right!   50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15

1/$4.15 x 75 = 75/$311.25  I hope this is right if not im so sorry!

Find the length of the third side. If necessary, round to the nearest tenth.2 5

Answers

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

what is the answer f(t)=40(1.18)^t

Answers

Answer:

18% if it is the rate of change.

0 if solved

Step-by-step explanation:

Sorry, but you need more information

is x^2+2bx-v^2 a perfect square trinomial?​

Answers

Answer:

no x² + 5x + c is a perfect square

Step-by-step explanation:

50 pts , i need the correct answer, my patient is gone because so many ppl put fake answers, just give the right answer i dont have the energy to even say pls anymore.

Answers

Answer:

Hello! Sorry about your luck before although im 99% sure my answer is correct.

Answer: area is 180

Step-by-step explanation:

Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...

7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!

PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!

Answers

Answer:

.3 feet

Step-by-step explanation:

3.8 - 3.5 = .3

A:90 clockwise
B:90 counterclockwise
C:180
D:270 clockwise
E:270 counterclowise

Answers

B:90 counterclockwise

sorry if I’m wrong

Answer:

A. 90 clockwise

Step-by-step explanation:

I think...

To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see if the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What is a Type I error and its consequence in this context

Answers

Answer:

The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold. The designer will reject the shipment of gold and miss out on an honest business relationship with the supplier.

Step-by-step explanation:

Type I error is defined as the rejection of the true null hypothesis. It is also called as the 'false positive' conclusion or 'false positive' findings. The value of alpha or the significance level determines the probability of making the error type I.

In the context, it is given that for a gold piece to be of 18 karat , the piece of jewelry must be made of 75% of pure gold.

The null hypothesis is, H0: The proportion of metal that is gold is 75%

The alternative hypothesis is Ha: The proportion of metal that is gold is less than 75%.

Thus the type I error is when the gold shipment is made of 75% gold but the jewelry designer rejects the shipment thinking that the shipment is made of less than 75% gold.

Thus it shows the error of type I rejecting the null hypothesis.

Camille is packing moving boxes. She has one 4 cubic-foot box and one 7 cubic-foot box. How many cubic feet of clothing can she fit in the two boxes?

Answers

Answer:

He can fit 11 ft^3

Step-by-step explanation:

Here, we want to get the volume it clothes that could fit into the two boxes

What we have to do here is to add the amount of space each of the box has to offer

Mathematically, we have this as;

7 ft^3 + 4 ft^3 = 11 ft^3

please answer fast help me i have thgis math problem

Answers

Answer:

[tex]x = 152[/tex]

because these angles are infront of each other

Answer:

x = 152

Step-by-step explanation:

x and 152° are vertical angles and are congruent , then

x = 152

Use special product patterns to find the product.

16 x 24

Answers

Answer:

4

[tex]4 ^{2} \times \sqrt[2]{6} [/tex]

square root 16 is 4^2

same as 24 is 2/6

The requires answer for 16 x 24 by using special product patterns is 384.

What is special product pattern?

A special product is a product of two binomials that hold a predictable pattern.

Now the given expression is,

16 x 24

Now both the terms can be written as,

16 = (20 - 4)

24 = (20 + 4)

Therefore we get,

16 x 24 =  (20 - 4) x (20 + 4)

since,

a² - b² = (a + b) (a - b)

⇒ (20 - 4) x (20 + 4) = 20² - 4²

∴ 6 x 24 = = 20² - 4²

⇒ 6 x 24 = 400 - 16

⇒ 6 x 24 = 384

Thus, the requires answer for 16 x 24 by using special product patterns is 384.

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In a pacemaker factory, all pacemakers must go through a rigorous quality assurance check before being shipped. The table shows the results
of the quality assurance checks. Find the probability that a non-defective pacemaker "fails." Round your answer to the nearest tenth of a percent. NEED ASAP

Answers

Answer:

16.1%

Step-by-step explanation:

Answer:

15.0

Step-by-step explanation:

10. A map uses the scale of ã of an inch to represent 3
miles. If the actual distance between two cities is
25 miles, then what is the length on the map?

Answers

8.3333333333333333333333333 ( recurring/ infinite 3 )

Do the points of the following quadrilateral create a square? A(3,4) B(-3,4)
C(-3,-2) D(3,-2)
1) Yes
2) No

Answers

Answer:

Yes

Step-by-step explanation:

You can refer to the photo that I attached.

Carlos compro una TV el cual costaba $1200 si por aniversario la tienda le hace un descuento del 25% cuanto dinero le descontaron a Carlos?

Answers

Answer:

Descuento= $240

Step-by-step explanation:

Dada la siguiente información:

Precio de venta (sin descuento)= $1.200

Descuento= 20%

Para calcular el descuento que le hicieron a Carlos, debemos utilizar la siguiente formula:

Descuento= precio de venta*porcentaje de descuento

Descuento= 1.200*0,2

Descuento= $240

HELPP plzzzz ——————and thanks no filessssss

Answers

they do give the same amount of tickets each time and it would take 10 points to get 60 tickets

What is the volume?
(*I wrote the numbers out just in case you couldn't see them.)

Answers

Answer:

I believe the volume is 540cm

Step-by-step explanation:

To find the volume of a rectangular prism, all you really need to do is multiply the length x width x height (LxWxH)

For this shape it's just:

9(L)*12(W)=108

108*5(H)=540

Answer:

the volume should be 58320

Step-by-step explanation:

12 x 9 x 12 x 5 x 9 = 58320

sorry if I'm wrong


[tex]i \: need \: help \: \\ \\ (a \: + \: b) {}^{2} = {?} [/tex]

Answers

Answer:

I hope this helps you :)...

Answer:

(

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

Step-by-step explanation:

(a+b)²

=(a+b)(a+b)

=a(a+b)+b(a+b)

=a²+2ab+b²

A linear sequence starts
11
20
29
38
Work out an expression for the nth term of the sequence.
The nth term is n+9

Answers

Answer:

9n + 2.

Step-by-step explanation:

This is arithmetic with common difference d = 9.

nth term = a1 + d(n - 1)     (a1 = 11) 11 + 9n - 9

= 11 + 9(n - 1)

= 9n + 2.

The correct answer is 9n+2

What is an equivalent expression to (2^-4*z^-3)^5

Answers

Answer

1/ 2^20 • z^15

step by step explanation

Kevin open to saving account with $1400 that pays no interest he deposit additional $170 each week write a recursive formula to show how much money Kevin has in his account n weeks after opening the account

Answers

Answer:

Amount in account of Kevin after [tex]n[/tex] weeks is equal to [tex]\$(1400+170n)[/tex]

Step-by-step explanation:

Initial amount in the savings account [tex]=\$1400[/tex]

Amount deposited each week by Kevin [tex]=\$170[/tex]

Amount deposited by Kevin in [tex]n[/tex] weeks [tex]=\$170n[/tex]

Therefore,

Amount in account of Kevin after [tex]n[/tex] weeks [tex]=[/tex] Initial amount in the savings account [tex]+[/tex] Amount deposited by Kevin in [tex]n[/tex] weeks

[tex]=\$(1400+170n)[/tex]

find ( f•f)(0)
f(x)=x^2-1
A. 1
B. 0
C. -8
D. -1

Answers

Answer:

D

Step-by-step explanation:

The half-life of radioactive iodine used in medical studies is 8 hours. A doctor wants to know when the amount of radioactive iodine in a patient's body is 20% of the original amount. When will this occur?​

Answers

Answer:

xgu5 yup is hug is is unfocused

help me pls quick fill it out​

Answers

Answer

Step-by-step explanation:

Translate this sentence into an equation

The product of donnie’s savings and 3 is 48

Use d to represent Donnie’s savings.

Answers

i'm pretty sure the answer is d • 3 = 48

IXL Q.12 PLS HELP I HAVE BEEN STUCK ON THIS ONE FOR SOME TIME.

Answers

Answer:

m∠1 = 100°

Step-by-step explanation:

Please help with this one question that I've been stuck on!!! In a random sample of 74 homeowners in a city, 22 homeowners said they would support a ban on non natural lawn fertilizers to protect fish in the local water ways. The sampling method had a margin of error of ±3.1%. SHOW ALL WORK!
A) Find the point estimate.
B) Find the lower and upper limits and state the interval.
Please show your work & how you got your answer!

Answers

Anders Celsius (Swedish pronunciation: [ˌanːdəʂ ˈsɛlːsiɵs], 27 November 1701 – 25 April 1744) was a Swedish astronomer, physicist and mathematician. He was professor of astronomy at Uppsala University from 1730 to 1744, but traveled from 1732 to 1735 visiting notable observatories in Germany, Italy and France. He founded the Uppsala Astronomical Observatory in 1741, and in 1742 proposed (an inverted form of) the Centigrade temperature scale which was later renamed Celsius in his honor.

Romeo and Juliet is a tragedy written by William Shakespeare early in his career about two young Italian star-crossed lovers whose deaths ultimately reconcile their feuding families. It was among Shakespeare's most popular plays during his lifetime and, along with Hamlet, is one of his most frequently performed plays.

A soup can has a radius of 4 cm and a height
of 11 cm. There are 24 cans in one case. How
many litres of soup are in one case?

Answers

Answer:

13.3L

Step-by-step explanation:

Find the solutions to x2 = 24.
O A. x = +216
O B. x = 16.6
O C. x= 46
O D. x = +62

Answers

Answer:

x =±2 sqrt(6)

Step-by-step explanation:

x^2 = 24

Take the square root of each side

sqrt(x^2) = sqrt(24)

x = ±sqrt(4*6)

x =±sqrt(4) sqrt(6)

x =±2 sqrt(6)

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