Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 30% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners.
(a) How many business owners in the survey plan to provide a holiday gift to their employees this year?
(b) Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations.
(c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts has decreased? We the null hypothesis. We conclude that the proportion of business owners providing gifts has decreased from 2008 to 2009. What is the smallest level of significance for which you could draw such a conclusion?

Answers

Answer 1

Answer:

a)x₁  = 24  business owners plan to provide a gift this year

b)  p-value = 0,0017

c)p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion  p₁  = 30 %   p₁ = 0,3

Then   x₁ = 80*0,3

x₁  = 24  business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis                    H₀          p₁  =  0,45

Alternative Hypothesis        Hₐ          p₁  <  0,45

p₁  =  0,3   then  q₁  =  1  -  0,3    q₁ =  0,7

z(s)  = ( p₁  -  0,45 )/ √p₁* q₁ / n

z(s)  =  -  0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find  p-value = 0,0017

c) If  α = 0,05   ( significance level )  as

p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease


Related Questions

Paul is selling $2 raffle tickets for his baseball team. He needs to sell at least
$230 worth of tickets to earn a team jacket. If he has already sold $50 worth of tickets, how many more raffle tickets, x, does Paul need to sell to earn a team jacket? ​

Answers

Answer: 90 more tickets

Step-by-step explanation:

230 - 50 = 180

180 divided by 2 = 90 tickets

Name the property that justifies the statement 17=17

Answers

Answer:

the property that justifies the statement 17=17 is equality

Step-by-step explanation:

because it shows that it is equal

17 Is equal to 17

Explanation:

They are equal

please answer ive been waiting half hour

Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed

Answers

i’m pretty sure it’s plant

The subject is the idea,being or thing being discussed.

Should be "plant". Its the Main thing being discussed.

Simplify the expression.Write your answer as a power.
w^8 w^5
------ × ------- =
w^7 w^2​

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w^4 is the correct answer!!

Discuss the political, economic and social organisation of buganda kingdom during the pre colonial period​

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Answer:

What type of line the picture represent

Give the coordinates of point A.

Answers

The coordinates for point A is (-2,-5)

Answer: -2,-5

Step-by-step explanation:

The red point is located in the 3rd quadrant in the graph. So that means both the y and the x are negative. So first you go by the x value, the point is located on the 2 space left (-) from the origin (center) of the graph and then you have to go 5 spaced down (-). So point A is located at (-2,-5).

Find the slope of the line parallel to the line graphed.
My Answer:

Answers

i believe the answer is 2

Chris made his aunt a garden. The width is 7 2/5 ft and the length is 5 1/2 ft. What is the area of the garden?

Answers

Answer:

Hello! if Chris garden is a square shape then the answer is 40 7/10 in fraction form or 40.7 in decimal form

What is the area?
5 mi
3 mi
square miles

Answers

Answer:

15 square miles

Step-by-step explanation:

For area you multiply length times width.

5×3 = 15

what’s the answer please i don’t need work shown :)

Answers

Answer:

102

You didn't ask for work and I shall respect your wish

Help ASAP I’ll mark branliest

Answers

Answer:

C - 129

Step-by-step explanation:

180-51=129

2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP

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Answer:

5555555555555555555555555555555555555 trust

Step-by-step explanation:

Please help marking people as brainlist

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The answer is 2rad3
(l^2 + w^2)^.5

-4t+ 14 = -9t+ 24
What value of 1 makes the equation true? Enter the answer in the box.
____

Answers

Answer:

cncjdkgkejgksjckwjnviekfkwkckkdk kdkf

anthony went on a bike ride. He rode two-thirds of a mile in three-fourths of an hour. What was his biking speed in miles per hour?

Answers

Speed= distance/ time

Speed= (2/3)/(3/4) = 0.88 miles/hr

You're playing a fantasy game that allows you to create your own character. There are 5 options for the
race of the character, and there are 3 options for the character's main tool.
If you randomly choose the race and the tool, which of these diagrams can be used to find all of the
possible outcomes?

Answers

Answer:

A i think

Step-by-step explanation:

help I need help I need help help I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need helphelp I need help I need help

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Answer:

true

true

false

true
true
false
hope that helped

Write each phrase as an algebraic expression.
16 seconds faster than Aya’s time.

Answers

Given:

The given phrase is 16 seconds faster than Aya’s time.

To find:

The algebraic expression for the given phrase.

Solution:

Let x be the Aya’s time.

16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.

We know that a negative sign "-" is used for less than.

16 seconds less than Aya’s time = [tex]x-16[/tex]

16 seconds faster than Aya’s time = [tex]x-16[/tex]

Therefore, the required algebraic expression is [tex]x-16[/tex].

In ancient Egypt, mathematicians and architects used 10 as an approximation for π . The circular floor of an ancient arena is paved with tiles. The floor of the arena has a radius of 100 feet.

Answers

What is the question

Pls helppppp!! Brainlyest answerrrr

Answers

Surface Area=248 inches squared

Please help (No Links)

Answers

Ok
First find something that will help you
($12 per hours)
(X is hours)
(Y is the money)

Next
To find y you must multiply each hours to $12.

Last:

X : 0 1 2 5

Y : ? ? ? ?
———————
X : 0(12) = 0 ( 0 hrs = $0)
1 (12) = 12 ( 1 hrs = $12)
2 (12) = 24 ( 2hrs = $24)
5(12) = 60 ( 5 hrs = $60)

Answer

0 = $0
1 = $12
2 = $24
5= $60

Equation ( I am not sure but I tried )

12x = y(total cost)

I hope this helped and was right,
Have a nice day.

PLEASE HELP ILL GIVE BRAINLIEST !!! 100 POINTS !! NO FAKE ANSWERS !

Answers

Answer:

qweqw

Step-by-step explanation:

qeqe

9 mi
12 mi
What is the length of the hypotenuse?
miles

Answers

15..........................

saras bookshelf is 40cm long 50 cm wide and 900 mm high she wants to paint it and calculated its volume as 180000cm3 check if theres something wrong if yes show your working for correction

ill mark u

Answers

Answer:

The volume of the bookshelf is 180000 cm³.

Step-by-step explanation:

The dimensions of the bookshelf are 40 cm, 50 cm and 900 mm.

We know that,

1 mm = 0.1 cm

900 mm = 90 cm

Now the dimensions become 40 cm, 50 cm and 90 cm.

The volume of the bookshelf can be calculated as :

V = lbh

Substitute all the values,

V = 40 cm × 50 cm × 90 cm

V = 180000 cm³

So, the volume of the bookshelf is 180000 cm³.

Pls help solve this...No hacker links

Answers

Answer:

x=13

Step-by-step explanation:

18-5=13. You have to subtract 5 from 5 itself and then 18.

X=13


I worked it out

Find the measure of angle BCA?

Answers

Answer: 33

Step-by-step explanation: When a tangent and radius intersect (as in the diagram) they will always be perpendicular. And using the Triangle Sum Theorem that all angles add up to 180 when get that m<BCA must be 33 degrees.

Select the correct answer.
The number of books checked out at two different libraries each day this week are shown below. (at bottom)



How do the median number of books checked out each day compare?
A.
The median number of books checked out at Ryder is equal to the median number of books checked out at Williams.
B.
The median number of books checked out at Ryder is 23 more than the median number of books checked out at Williams.
C.
The median number of books checked out at Williams is 25 more than the median number of books checked out at Ryder.
D.
The median number of books checked out at Ryder is 18 more than the median number of books checked out at Williams.

Answers

Answer:

the answer is B.

Step-by-step explanation:

W= median is 58

R= median is 81

81-58=23

The median number of books checked out at Ryder is 23 more than the median number of books checked out at Williams.

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the data of Williams be represented as W

Now , W = { 63 , 56 , 60 , 55 , 62 , 55 }

And , the data of Ryder be R

where R = { 80 , 75 , 82 , 84 , 82 , 79 }

And , the median of Williams = (56 + 60) / 2 = 58

And , the median of Ryder is = 81

So , the difference of medians = 81 - 58 = 23

Hence , median number of books checked out at Ryder is 23 more than Williams

To learn more about median click :

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Numbers 1, and 3 please

Answers

Answer:

  1.  shifts the graph right 2 units

  2. y = -2(x -3)² +7

Step-by-step explanation:

1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.

__

3) The vertex form of the equation of a parabola is ...

  y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'

Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.

The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.

The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':

  -14 < 7-9a < -7

  -21/9 < -a < -14/9   ⇒   -2.33 < -a < -1.56

If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.

The equation of the graph may be ...

  y = -2(x -3)² +7

find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] about the... a) x-axis.

Answers

Answer:

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=33.52[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - x^2[/tex]

[tex]g(x) = x^2[/tex]

[tex][a,b] = [0,2][/tex]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

[tex]\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx[/tex]

Integrate

[tex]v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx[/tex]

[tex]v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx[/tex]

Substitute values for a, b, f(x) and g(x)

[tex]v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx[/tex]

Evaluate the exponents

[tex]v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx[/tex]

Simplify like terms

[tex]v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx[/tex]

Factor out 8

[tex]v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx[/tex]

Integrate

[tex]v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0[/tex]

[tex]v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0[/tex]

Substitute 2 and 0 for x, respectively

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])[/tex]

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])[/tex]

[tex]v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ][/tex]

[tex]v = 8\pi [ \frac{16}{3} - \frac{16}{4} ][/tex]

Take LCM

[tex]v = 8\pi [ \frac{16*4- 16 * 3}{12}][/tex]

[tex]v = 8\pi [ \frac{64- 48}{12}][/tex]

[tex]v = 8\pi * \frac{16}{12}[/tex]

Simplify

[tex]v = 8\pi * \frac{4}{3}[/tex]

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=\frac{32}{3} * \frac{22}{7}[/tex]

[tex]v=\frac{32*22}{3*7}[/tex]

[tex]v=\frac{704}{21}[/tex]

[tex]v=33.52[/tex]

How do we decide if a situation requires us to measure in square units or cubic units?

Answers

Answer: see below...

Step-by-step explanation:

Square units are when we are finding the surface area.

Since it is side x side, so ^2.

Cubic units are when we are finding the volume.

Since it is side x side x side, so ^3.

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