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kifflom [539]
3 years ago
5

A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r

andom sample of 160 reservations. She records whether they were made by a man or a woman, and also records how the reservation was made. She gets the following data: Phone 28 Men Women Fax 9 12 Email 37 29 45 Perform a chi-square significance test of association with a = .05. Be sure to include your null and alternative hypotheses, a justification for the use of this test, your test statistic calculations, your P-value, and your conclusion.
Mathematics
1 answer:
padilas [110]3 years ago
6 0

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,          

         

33.7625   9.7125   30.525  

39.2375   11.2875   35.475

Using chi^2 = Sum[(O - E)^2/E],          

chi^2 =    4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a =    3      

b =    2

df =    2

Thus, the critical value is

significance level =    0.05

chi^2(critical) =    5.991464547

Also, the p value is

P =    0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we   FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

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What is the answer to 1.5 / 2.5 equals 3.5 / d
Kay [80]

Answer:

1.5/2.5 = 3.5/5.83recuring

Step-by-step explanation:


8 0
3 years ago
Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet
goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

y = 685 - 610 = 75mph

3 0
3 years ago
A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
3 years ago
the population in a town is 10,000. The population is growing at a rate of 0.08. what will the population be in 10 years
cestrela7 [59]

Hope this helps have a nice day!!!!

7 0
2 years ago
Need help on homework <br><br> #8
irakobra [83]
I would say the cube because it takes more space (volume) than the row of cubes


"Not sure if it makes sense but, eh...."
7 0
3 years ago
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