Question

Please help !!

A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked cheesecake.

Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points) Like chocolate cake Do not like chocolate cake Total Like cheesecake A D G Do not like cheesecake B E H Total C F I

Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake? (3 points)

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

Answer 1

The values for the first part is..25 like choc...25 do not like choc..25 for the 3rd and yes..25 for 4th
Part b...zero percent..every 1 liked on or the other
Part c..it's equal for like choc..and same like cheese..

Answer 2

(b)25%

(c)Cheesecake

Explanation:

Total Number of Respondents=100

(a)The Summary of the Information given is presented below.

[TeX]\left|\begin{array}c------&-------&------&------\\ & Like \: Chocolate \:Cake& Dislike \: Chocolate \:Cake& Total \\------&-------&------&------\\ Like \: Cheesecake & A=15 & B=25 & C=40 \\ Dislike \: Cheesecake & D=35 & E=25 & F=60\\------&-------&------&------\\Total&G=50&H=50&I=100 \end{array} \right| [/TeX]

(b)Number of Respondents who liked neither chocolate cake nor cheesecake=25

Percentage=(25/100) X 100 = 25%

(c)From the survey, 50 persons dislike chocolate cake while 60 persons dislike cheesecake. The survey reveals a greater dislike for cheesecake.