Question

n a recent survey of 50 10-year olds, it was discovered that 14 liked both McDonald's and Burger King. Overall, 36 of the children surveyed liked McDonald's and 24 liked Burger King. How many of the children surveyed did not like either restaurant? Please show your statistical thinking to support your answer.,

Answer 1

Sample size /Universal Set, n(U) = 50 n(McD ∩ BK) = 14 n(McD) = 36 n(BK) = 24 N(McD ∪ BK) = n(McD)+n(BK)-n(McD ∩ BK) = 36+24-14 = 46 46 respondents like either McDonald's or Burger King. Hence number of children that did not like either restaurant = n(U)-n(McD ∪ BK) = 50-46 = 4