A

business

man

recently

opens

his

second

burger stall at different cit

y

.

Each

stall

sells same

variants of burger

wh

ich

are Burger

B

urn

, Burger Spicy, Burger

Vegan

and Burger

Steak

.

H

e

asks

you to

conduct a test to see that if the number of

burgers

sold for each varian

t

is

independence

to the

place of the st

all located. Below are the

data of

number of

burgers

sold in 2

days

in each stall

that placed in t

wo different

cities

inside a

contingency

table.

Stall placed

a

t

Burger

Burn

Burger

Spicy

Burger

Vegan

Burger

Steak

Total

City A

100

25

50

235

City B

105

80

280

Total

205

1

15

a)

Compl

ete the

observed frequency

tabl

e.

b)

F

ind

the expected

fr

equencies for each cell.

c)

G

iven

the following null and alternative hypothesis

,

0

;

The

number

of

burger

sold

for

each

variant

is

indepen

t

to

the

city

the

stall

located

1

:

The

number

of

burger

s

old

for

each

variant

is

dependent

to

the

city

the

stall

located

A

t

=

0

.

05

,

compl

ete the

test of hypothesis

to decide if there is enough evidence

to

justi

fy that the

number of burger

s

sol

d for each variant is indepen

den

t

to the city th

at the

stall located.