Question

A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for beef or chicken. Out of the total 75 people who liked beef, 60 also liked chicken. There were 80 people who liked chicken.

Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)


Like beef Do not like beef Total
Like chicken A D G
Do not like chicken B E H
Total C F I


Part B: What percentage of the survey respondents did not like either beef or chicken? (3 points)

Part C: Do the survey results reveal a greater dislike for beef or chicken? Justify your answer. (2 points)

Answer 1

A:

like beef do not like beef total

like chicken 60 20 80

do not like chicken 15 5 20

total 75 25 100

B: 5%

C: Beef. 20% of the people do not like chicken. 25% do not like beef ( 5% from each dislike both.)

Explanation:

Answer 2

like beef.......do not like beef......total
like chicken 60 20 80
do not like c 15 5 20
-------------------------------------------------------------------------
total 75 25 100

B. did not like beef or chicken.....5/100 = 0.05 = 5%
C. the survey reveals a greater dislike for beef...because 15% like just beef, but 20% like just chicken