Question

Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer:


Sample Adventure Beach Cruise Ski
A 73 4 18 3
B 71 6 22 1

Answer 1

@wolf1728 @Michele_Laino @Abhisar

Answer 2

Which of the following inferences can be made based on the data?
Most members prefer a beach vacation.
Most members prefer a cruise vacation.
More members prefer a cruise vacation and a ski vacation than a beach vacation.
More members prefer a beach vacation and a cruise vacation than an adventure vacation.

Answer 3

@Michele_Laino i think its C. not sure

Answer 4

you have to compute the singles frequencies, namely the frequencies for a beach vacation are:
4/100 =0.04 for group A
6/100=0.06 for group B
by the way group A contains 98 elements

Answer 5

OK

Answer 6

fro cruise vacation we have:
18/100=0.18 for group A
22/100=0.22 for group B

Answer 7

for cruise vacation and ski vacation we have:
(18+3)/100=21/100=0.21 group A
(22+1)/100= 23/100=0.23 group B

Answer 8

oh OK so would my answer then be D. @Michele_Laino

Answer 9

well actually no cause an Adventure vacation is preferred alot :(

Answer 10

for beach and cruise vacation we have:
(18+4)/100= 0.22 group A
(22+6)/100= 0.28 group B
and
adventure vacation:
73/100=0.73 group A
71/100=0.71 group B

Answer 11

answer D is not correct, since 0.73>0.22 and 0.71>0.28, am I right?

Answer 12

whereas:
0.21 > 0.04, and
0.23> 0.06
so, what can you conclude?

Answer 13

was i right then about C. @Michele_Laino

Answer 14

yes!
since for beach vacation and cruise vacation the frequencies are less than 0.5

Answer 15

Thankk You!!! could u please help me with a few more? @Michele_Laino

Answer 16

ok!