Question

Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment plans for three different age categories are used. This table shows the responses they received. Plan I Plan II Neither Ages 26–35 19 14 17 Ages 36–45 14 28 8 Ages 46–55 27 21 2 What percentage of people preferring plan I are from the 36–45 age group, and what percentage of people from the 46–55 age group prefer plan II? Round your answers to the nearest whole number. A. 23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II. B. 28% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II. C. 23% of people who prefer plan I are from the 36–45 age group, and 33% of people from the 46–55 age group prefer plan II. D. 28% of people who prefer plan I are from the 36–45 age group, and 33% of people from the 46–55 age group prefer plan II. E. 32% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.

Answer 1

Answer: C. 23% of people who prefer plan I are from the 36–45 age group, and 33% of people from the 46–55 age group prefer plan II.

Step-by-step explanation:

Ages - - - - - - - - - - - Plan I - - - Plan II - - - -Neither

26 - 25 - - - - - - - - - - 19 - - - - - - - 14 - - - - - - - 17

36–45 - - - - - - - - - - -14 - - - - - - - 28 - - - - - - - 8

46–55 - - - - - - - - - - - 27 - - - - - - - 21 - - - - - - - 2

Total - - - - - - - - - - - - 60 - - - - - - - 63 - - - - - - 27

What percentage of people preferring plan I are from the 36–45 age group:

Total number preffering plan 1 = (19 + 14 + 27) = 60

Therefore, percentage from 36 - 45 age group :

(14/60) × 100 = 0.23333 × 100 = 23.333 = 23%

2) what percentage of people from the 46–55 age group prefer plan II:

Total number preffering plan 11 = (14 + 28+ 21) = 63

Therefore, percentage from 46 - 55 age group :

(21/63) × 100 = 0.33333 × 100 = 33.333 = 33%