A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70?

Answers

Answer 1

Answer:

The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.

Step-by-step explanation:

Test if the mean one-time gift donation is greater than $70:

At the null hypothesis, we test if it is 70 or less, that is:

[tex]H_0: \mu \leq 70[/tex]

At the alternate hypothesis, we test if it is greater than 70, that is:

[tex]H_1: \mu > 70[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

70 is tested at the null hypothesis:

This means that [tex]\mu = 70[/tex]

Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12.

This means that [tex]n = 60, X = 75, s = 12[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{75 - 70}{\frac{12}{\sqrt{60}}}[/tex]

[tex]t = 3.23[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 75, which is a right-tailed test with t = 3.23 and 60 - 1 = 59 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.001.

The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.


Related Questions

What is the quotation -3/8 divided by -1/4

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

-3/8 / -1/4

Negative divided by negative is positive.

To divide by a fraction, change the division to a multiplication and flip the fraction.

-3/8 / -1/4 =

= 3/8 * 4/1

= 12/8

= 3/2

a tourist drove his car for the total of 17.5 hours while on a 3-day vacation on the first day he drove 4.5 hours in the second day he drove for 2.5 times as many hours as he drove on the first day how many hours did the tourist drive on the third day of his vacation (HELP PLEASE)​

Answers

Answer:

1.75 hours

Step-by-step explanation:

Time for day 1 : 4.5 hrs

Time for day 2: (4.5 ×2.5)

Time for day 3: let it be denoted by a variable ,say T.

Total Time= 17.5

(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5

4.5 + (4.5×2.5) + T = 17.5

4.5+11.25+T =17.5

15.75+T=17.5

T=17.5-15.75

T= 1.75

The sum of a number and 4 is equal to -43. Find the number

Answers

Answer:

the number is -47..

Step-by-step explanation:

let the number be'x'

x+4= -43x= -43-4x= -47

hope it helps.

stay safe healthy and happy.

[tex]\huge\bold{Given :}[/tex]

Sum of two numbers = -43

One of the number = 4

[tex]\huge\bold{To\:find :}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Bryan has.

Answers

Answer:

You FAILED to list any choices

Step-by-step explanation:

b = r + 86

Answer: r+86

Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.

f(x)=3√x²-1 and f(x)=2 find x​

Answers

Answer:

5

Step-by-step explanation:

See the image below:)

substract 8 times the sum of a and b from 9y​

Answers

Answer:

Step-by-step explanation:

according to the question ur equation is

9y-8(a+b)

9y-8a-8b

the variables thoo , that’s difficult

What would be the length of AB I need urgent help?

Answers

Answer:

8 units

Step-by-step explanation:

AB = √(4×(4+12))

= √(4×16)

= 2×4

= 8 units

factor b2+18b+80=

......

Answers

Answer:

(b+8)(b+10)

Step-by-step explanation:

https://www.mathpapa.com/simplify-calculator/

What is the radius in the eqution below? (x - 5) ^ 2 + (y + 3) ^ 2 = 49

Answers

Answer:

7.

Step-by-step explanation:

The equation of a circle is

(x - h)² + (y - k)² = r²

Where

(h, k) is the center and r is the radius, so we only need to work with r.

The expression states that

r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.

r² = 49

Take the square root.

r = 7

The radius of the equation is 7.

If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.

A) 7 B) 6 C) 12

Answers

Answer:

8

Step-by-step explanation:

If p is  inversely proportional to Q and P is 6 when q = 4, then;

p = k/q

6 = k/4

k = 6*4

k = 24

To get P when q = 3

Recall;

p = k/q

p = 24/3

p = 8

Hence the required value of p is 8

Note that the value of initial Q was assumed

Answer for brainlest!!!!

Answers

Answer:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles.so they are always equal.

angle 2=angle 7

-4 (3+8h) =30 round to nearest hundredth

Answers

I wanna say ur answer is 8.05! Don’t yell at me if I’m wrong I’m sorry

Answer

-1.31 if its getting rounded to nearest number.

The fraction will be -21/16

A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?

Answers

Answer: 1 6/10

Step-by-step explanation:

Subtract 7 3/10 with 5 7/10 !!!btw subscribe to Aphmua and unspeakable!

Please help!!! Trigonometry is so complicated to me

Answers

Answer:

x = 4

Step-by-step explanation:

Given that sin(13x) = cos(9x+2)

Since sintheta  = cos(90 - theta)

hence sin (13x) = cos (90 -13x)

Substitute into the original equation

cos (90 -13x) = cos(9x+2)

90-13x = 9x+2

-13x - 9x = 2 - 90

-22x = -88

x = 88/22

x = 4

Hence the value of x is 4

Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations

Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units

Answers

Answer:

The answer here depends on whether you want to do them individually or collectively.  If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4

A coach collected data for his runners for 2 weeks. Week 1: Mean = 14.5 miles/ MAD = 1.15 Week 2: Mean = 16 miles/ MAD = 1.5. Which statement correctly compares the variability from Week 1 to Week 2? *

Answers

I honestly don’t know why this is a question but the answer is 7

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage. Is there enough evidence at the 0.05 level to support the manager's claim

Answers

Answer:

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Step-by-step explanation:

The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage.

At the null hypothesis, we test if the proportion is of 44%, the stated value. So

[tex]H_0: p = 0.44[/tex]

At the alternate hypothesis, we test if the proportion is below the stated value, that is, it is less than 0.44. So

[tex]H_1: p < 0.44[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.44 is tested at the null hypothesis:

This means that [tex]\mu = 0.44, \sigma = \sqrt{0.44*0.56}[/tex]

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use.

This means that [tex]n = 1600, X = 0.43[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.43 - 0.44}{\frac{\sqrt{0.44*0.56}}{\sqrt{1600}}}[/tex]

[tex]z = -0.81[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.43, which is the p-value of z = -0.81.

Looking at the z-table, z = -0.81 has a p-value of 0.209.

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Todd bought 3/8 of a pound of banana chips. He ate 1/9 of what he purchased what fraction of a pound of banana chips did todd eat?​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:

[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate

Cancel the 3 on the numerator by dividing the denominator by 3.

[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]

Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips


Jasmine's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 2
child tickets for a total of $33. The school took in $46 on the second day by selling 1 senior citizen tickets and 3 child tickets What is the
cost of buying 5 senior citizen tickets and 7 child tickets?

Answers

Answer:

$126

Step-by-step explanation:

what's the answer I have 30 something more questions to go​

Answers

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Please help! It’s too hard

Answers

Answer: for sure c.

Step-by-step explanation: Let me know if im right!

if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )

The figure shows a BD is 90° split by the Line BC the measure of ABC is X degrees in the measure of DBC is 3X +10° what is the value of X

Answers

X=20° is your answer

Step-by-step explanation:

X+3x+10°=90°

4x+10°=90°

4x=(90-10)°

X=80/4

X=20°

I NEED HELP WITH THIS !! PLS HELP!!

Answers

Answer:

Step-by-step explanation:

2/14 * 1/23 = 1/91

I need the anwer fast pls HELP

Answers

The median is the middle number in a sorted, ascending or descending, list of numbers.

0, 0, 1, 1, 1.5, 1.5, 1.5, 1.5, 2, 2, 2, 2, 2.5, 2.5, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4.5,

Therefore, the median would be 2.5 hours.

help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem formula

a^2+b^2=c^2

19^2+52^2=c^2

361+2704=c^2

[tex]\sqrt{3065}[/tex]=c

55.36=c

55=c

Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullseye with probabilityr.Whoever hits the bullseye first wins. Suppose Peter throws the first dart.(a) What is the probability that Mary wins

Answers

Answer:

[tex]P(Mary) = (1 - p) * r[/tex]

Step-by-step explanation:

Given

[tex]p \to[/tex] Peter hits

[tex]r \to[/tex] Mary hits

Required

The probability that Mary wins

From the question, we understand that Peter throws the first.

If Mary is to win, then Peter has to lose his throw

Using the complement rule, the probability that Peter misses is:

[tex]p' = 1 - p[/tex]

So, the probability that Mary wins is:

[tex]P(Mary) = p' * r[/tex]

This gives:

[tex]P(Mary) = (1 - p) * r[/tex]

What is the constant of proportionality for the table below?
х
10
8
4
2
y
25
20
10
5
Ο Α. 5
B. 215
O C. 2.5
O D. 25

Answers

The answer is C
The X is multiplied by 2.5 to get Y


Which step is incorrect? Look at picture

Answers

Answer: step 4 is incorrect

Step-by-step explanation:

Answer:

step 4 is incorrect.

there must be;

cos(π/2-x)cos(y)-sin(π/2-x)siny

Find the area of the figure

Answers

Answer: 60 ft

Separate into 2 rectangles and add their areas together!

Vertical rectangle area: 10 x 3 = 30 ft

Horizontal rectangle area: 10 x 3 = 30 ft

Area of entire thing: 30 + 30 = 60 ft

Other Questions
change from active to passive: mrs sulivan teaches us grammar Hi plz help, if you can ill mark you 5 starz! :) what are called micro organisms A company determined it could use equation y = -25/3x + 250,000 to predict its total number of customers, y, based on the number of days x. What is the meaning of the slop of this function help me with C please Please answer school ends super soon please help me I COULD FAIL What does 'MET' stands for? 1. Howor analkaliyou test to see if a liquid is an acid A swimming pool has a gradual slope to the deep end. It forms a triangular prism. If the pool is filled to the very edge, then how many cubic feet of water does the pool hold? 1. Mentally healthy children areOA. receive social-emotional supportB. more successful in school and lifeC. encompass wellness promotion help i give brainilest Which is the function of the exoskeleton in animals? (2 points)a. Produces the sperm used in reproductionb. Protects against different weatherProtects against their environment's (this answer is incorrect so don't choose it stoopid)d. Works with muscles to allow movement What is the sum of the interiorangles of the polygon shown below? what is the actual time for son las ocho memos siete de la manana Qu consecuencias tuvo para los seores feudales el fortalecimiento de las monarquas? On the map, the distance between Lake Moore and Lake Wyman is 4.5 centimeters. Which of the following is closest to the actual distance between Lake Moore and Lake Wyman? Help needed ASAP, I will mark your answer as brainliest. Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not. . .1 42 33 , 34 35 46 57 28 , 49 310 411 412 313 414 415 516 2No.1 ... - . . [Plato] In A Soccer Game, You Want To Finish The First Half In Five Minutes. So, You Set The Match Duration To Ten Minutes. This Is An Example Of What KindOf Time Element?A)AlteredB)VariableC)AuthenticD)Player Adjusted Determine the spec gravity of 500 mL alcohol if the density is 0.79g/ml