When sampled 145 out of 500 people said they were vegetarians if the sample was taken from a population of 31000 people, which of the following is most likely the number of people in the population who are vegetarians?

A.5890
B.8990
C.2790
D.12,090

Respuesta :

i think the answer is B. 

145/500=28/100
100*310=31000
28*310=8680
145/500=8680/31000

the question says which is MOST likely which gives me the impression that there will not be an exact match in the answers. apologies if its wrong. 

Answer:

Correct option is:

B. 8990

Step-by-step explanation:

145 out of 500 people said they were vegetarians

That means ratio of vegetarians to total population=145/500

                                                                                   = 29/100

So, most likely out of the total population also the ratio of vegetarians to total population will be 29/100

Hence, number of vegetarians most likely are:

[tex]\dfrac{29}{100}\times 31000[/tex]

=8990

Hence, the correct option is:

B. 8990