An airline company claims in a recent advertisement that more than 94% of passenger luggage that is lost is recovered and reunited with the customer within 1 day. Hunter is a graduate student studying statistics. For a research project, Hunter wants to find out whether there is convincing evidence in support of the airline company's claim. He randomly selects 315 passengers of the airline whose luggage was lost by the airline and found that 276 of those passengers were reunited with their luggage within 1 day. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?

Answers

Answer 1

Answer:

The null hypothesis is  [tex]H_o :  p  \le  0.94[/tex]

The alternative hypothesis is   [tex]H_a :  p  >  0.94[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is n =  315

   The population proportion is  p =  0.94

   The number of luggage that was recovered and reunited with the passenger in one day is  k =  276

   Generally the sample proportion is  mathematically represented as

       [tex]\r p = \frac{k}{n}[/tex]

=>      [tex]\r p = \frac{276}{315}[/tex]

=>      [tex]\r p = 0.876[/tex]  

The null hypothesis is  [tex]H_o :  p  \le  0.94[/tex]

The alternative hypothesis is   [tex]H_a :  p  >  0.94[/tex]


Related Questions

4,5,6,6,7,7,8,8,8,8,8,9,9

What is the mean and range of the number sequence?

Answers

Answer:

The mean is 7 and the range is 5

Step-by-step explanation:

To find the mean, just add up the scores and divide the total by the number of scores.

To find the range, subtract the lowest value from the highest value.

C(n)=1/500 n^2-n +200 where is n is the number. does the cost have a minimum or maximum value explain

Answers

Answer:

  minimum

Step-by-step explanation:

The sign of the leading coefficient of a quadratic tells you whether its graph opens upward or downward. Here, the sign of 1/500 is positive, so the graph opens upward. The function will have a minimum.

_____

Additional comment

For even-degree polynomials (quadratic = degree 2), the general shape of the curve will be ∪ or ∩. The latter will result from a negative leading coefficient.

For odd-degree polynomials, the general shape of the curve will be / or \. Again, the latter results from a negative leading coefficient.

These facts can help you identify the end-behavior of a polynomial function.

wich one do you think is greater 4x 32/5 or 3x42/5 how can yu tell without multplying explain

Answers

Answer:4x 32/5

Step-by-step explanation:

If we look at it, we know that 4 and 32 is more than 3x42. Btw, 3x42 is 126 and 4 times 32 is 128.

Find the vertex of the graph of the function
f(x)= -2x^2-16x-34

Answer Choices:
-2,-4
-4,-2
3,5
5,3

Answers

Answer:

(-4,-2)

Step-by-step explanation:

mel read 7 books, write a division equation to find
number of books read

Answers

Answer:
35/5=7

Explanation:
7x5= 35 so that would mean 35 times 5 is 7.
7x5=35
So 35 divided by 5 would equal 7

Volume with Fractional Length - Quiz. Level F
If the box holds 24 of these sugar cubes, what is
the total volume of the box?
24 in
12 in
6 in
3 in

Answers

volume of sugar cube are 1/8
24 cubes=1/8×24
=3
so the volume is 3in^3

What is the measure of the unknown angle? n 120°​

Answers

n = 240°

Since a full circle equals 360°, you would subtract 120° from 360° and get 240°.

6.1/5(12b+5) for b = 5/6​

Answers

Answer:

Step-by-step explanation:

6.1 / 5 ( 12b + 5 )

b = 5/6

by substituting,

6.1 / 5 ( 12 × 5/6 + 5 )

1.22 × 15

= 18.3

Hope this helps

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Nicholas sold pounds of shrimp in 4 hours. So, he sells shrimp at a rate of pounds of shrimp per hour. At this rate, he would sell pounds of shrimp in 9 hours.

WILL RECIEVE BRAINLIST

Answers

Answer:

9 pounds of shrimp will be sold in 9 hours i think.

i dont realy understand the way u wrote it but pls put brainliest

Answer:

yea i thik hes right

Step-by-step explanation:

To make 5 pizzas, 1/2 cup of flour is used a. How much flour is needed to make one pizza? b.. How many cups of flour are needed to make 1 dozen pizzas? (1 dozen - 12) c. How many pizzas can you make with 5 2/3 cups of flour?​

Answers

Answer:

for a single pizza 1/10 a cup

for 12 pizzas 1 1/5 a cup

you can make 56 pizzas with 5 2/3 cups.

Step-by-step explanation:

for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10

for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5

Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10

56/10÷1/10= 56 pizzas

Write a linear equation given the point and slope. (-7, 13); slope = -2

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

The linear equation is generally written in y = mx + b form. Since m (the value of the slope) is already given, only the value of b must be determined. To do this, plug in x, y, and m for their values in the equation to get:

13 = -2 (-7) + b

Then, simplify.

13 = 14 + b

b = -1

Once you find the b value, plug everything back in and get y = -2x + 1.

pls answer is right on my math​

Answers

Step-by-step explanation:

1. parallel 2. perpendicular 3. interescting

4. parallel 5. perpendicular

IV. 1/2 = 2/4 1/3 = 2/6 2/6 = 4/12

1/2 = 4/8 1/3 = 4/12 2/6 = 1/3

can you please mark my answer brainliest

what is the value of 5/z when z =2?

Answers

Answer:

[tex]z = 2. \\ 5 \div z \\ 5 \div 2 \\ 2.5[/tex]

2.5 is the correct answer .

Thank you ☺️☺️

joe has read 30​% of a book. He has 56 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

80 pages

Step-by-step explanation:

If Joe has read 30% and 56 pages is 70% of the book. We divide 56 by 7 and get 8 meaning that 10% of the book is 8. Once we know this we multiply 8 x 10 and get the amount of pages in the book 80

Answer:

There are 80 pages left.

Step-by-step explanation:

100% - 30% = 70%

70% = 56 pages

Insert x into a equation.

0.7x = 56

Multiply by 10 on both sides to get rid of the decimal.

0.7x = 56

· 10     ·10

Divide by 7 on both sides to get x by itself.

7x = 560

     7

x = 80

A line passes through the point (-9,-6) and has a slope of -(2)/(3).

Answers

Answer:

[tex]\displaystyle y + 6 = -\frac{2}{3}(x + 9)[/tex]

Explanation:

In the Point-Slope formula, [tex]\displaystyle y - y_1 = m(x - x_1),[/tex]−C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with those minus symbols.

I am joyous to assist you at any time.

Help help help help

Answers

Answer:

c; infinite solutions

Step-by-step explanation:

to solve this system of equations you can use elimination

you can divide all of the top by 2

you get

3x + y = 6

and then

-3x - y = -6

but then when you subtract them you get 0 = 0

this means it is infinite solutions

another way to tell that it is infinite solutions is by seeing if the equations are the same

-3x - y = -6 is just 3x + y = 6 but everything is multiplied by -1

Answer:

INFINITE SOLUTIONS

Step-by-step explanation:

So let's solve this system using elimination

we can convert the second equation to

-6x-2y = -12

6x+2y = 12

if we add these to equations we get 0 = 0

therefore, there are infinite solutions to this system

What is the solution to the equation x2 = 16? Explain.

Answers

Answer:

x = ±4

Step-by-step explanation:

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

5. Which of the following best describes a negative linear association?*
A Variables have no relation to each other when plotted.
B As one variable increases so does the other
CA data set that includes both negative and positve numbers
D As one variable decreases, the other increases

Answers

D. As one variable decreases, the other increases.

A negative linear association means that as one variable decreases, the other variable increases. This indicates an inverse relationship between the two variables.

As the value of one variable decreases, the value of the other variable tends to increase consistently and vice versa. This pattern can be observed when plotting the data points on a scatter plot, where the points tend to form a downward sloping line.

Option A is incorrect because a negative linear association implies a clear relationship between the variables, unlike no relation. Option B is incorrect because it describes a positive linear association, where both variables increase together.

Option C is incorrect because the presence of both negative and positive numbers does not necessarily indicate a negative linear association. The key characteristic of a negative linear association is the inverse relationship between the variables as described in option D.

for such more question on variable

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What is the equation for the line that passes through the points (4, 2) and (0, 6) ?

Answers

the answer is y=-x+6

can someone help please

Answers

Answer:

I think it might be A, it seems most reasonable. I'm probably wrong tho

Step-by-step explanation:

Answer:

it is D

Step-by-step explanation:

just multiplay

Michael ran 450 miles this month preparing for a race. 40% of the miles
he ran were during bad weather. How many miles did he run during bad
weather?

Answers

Answer is 180, 40% of 450 is 180.

Answer:

180 miles

Step-by-step explanation:

You must find 40% of 450 and you can make the of into an x (multiplication symbol) like so:

40% x 450

Now, percent's are fractions, and 100% is equal to one whole or 1. To make 40% a fraction, simply just place a decimal in front of the 4, like so:

.40 or 0.40 or 0.4 or .4

Now place that in the equation:

0.40 x 450

Solve:

 450.00

x     0.40

___________

  180.00

       ^

(!Important! !Always bring down the decimal in the exact place it was at in first place!)

Check:

180 = 40%

450 = 100%

(To get 450 you must multiply 100 by 4.5, therefore you multiply 40 by 4.5 to get 180)

Answer:

Michael ran 180 miles in bad weather.

Ms. Kim has 1 full class plus 8 extra students going on the field trip. if she has 40 students going on the field trip, how many students are there in her full class?

Answers

Answer:

32 students

Step-by-step explanation:

Area and perimeter of the triangle

Answers

Perimeter is 0.8333yd
Area is 15yd

Can someone help me with this real quick!

Answers

Answer:

519.50

Step-by-step explanation:

A = P [tex](1 + r)^{n}[/tex]

A = 300[tex](1 + .04)^{14}[/tex]

A = 300(1.7316764476)

A = 519.502934281

A = 519.50

∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Enter your answer in the box.

Answers

<B be y

We know that complementary angles have sum 90°

[tex]\\ \sf\longmapsto y+21=90[/tex]

[tex]\\ \sf\longmapsto y=90-21[/tex]

[tex]\\ \sf\longmapsto y=69°[/tex]

<A=69°

Answer:

The measure of ∠B is 69°

Step-by-step explanation:

Given :

=> ∠A + ∠B = 90°

=> 21° + ∠B = 90°

=> ∠B = 90°- 21°

=> ∠B = 69°

A set of high school student heights are normally distributed with a mean of 161 centimeters and a standard deviation of 15 centimeters. Mikio is a high school student with a height of 191 centimeters. What proportion of student heights are higher than Mikio's height?

Answers

Answer:

0.0228

Step-by-step explanation:

Trust <3 like fr I just did it on Khan

thanks again everyone ​

Answers

Points are

(10,-8)(-5,-7)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{-7+8}{-5-10}[/tex]

[tex]\\ \rm\rightarrowtail m=-\dfrac{1}{15}[/tex]

There are 18 students in the math club.

Of the 18 students, 1/6 have red hair. How many of the students have red hair?

Part b: of the 18 students, 4/6 have brown hair. How many of the students have brown hair?

Part c:
What is the relationship do you notice between the number of students with brown hair and the number of students with red hair?

Answers

a:1/6×18/1=18/6 when simplified is 3

b:4/6×18/1=72/6 when simplified is 12

c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.

If you spend $55 for transportation and clear $250 a month, what percent of your income do you spend on transportation?

Round to the nearest tenth.

A. 4.5%
B. 18.0%
C. 20.0%
D. 22.0%

Answers

Answer:

d

Step-by-step explanation:

55÷250×100=22.0

hence d

NO LINKS!!

Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 20°, and from the second sensor to the aircraft is 15°. Determine how high the aircraft is at this time. ​

Answers

Answer:

711 ft (nearest foot)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let y = horizontal distance between sensor 1 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

angle = 20°side opposite the angle = hside adjacent the angle = y

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{y}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(20)}}[/tex]

Second equation

Let y + 700 = horizontal distance between sensor 2 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

angle = 15°side opposite the angle = hside adjacent the angle = y + 700

[tex]\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}[/tex]

[tex]\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}[/tex]

[tex]\implies \mathsf{h=710.9678247...}[/tex]

Therefore, the height of the aircraft is 711 ft (nearest foot)

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