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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.

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.

Explanation:

i. Calculating the percentage of people preferring plan I are from the 36–45 age group.

First, we need to get the number of that preferred plan 1.

Looking through plan 1 column.

Total = 19 + 14 + 27

Then we write out the number of people in the 36 - 45 age group that prefer plan 1

Number of 36 - 45 aged people that prefer plan I is 14.

Their percentage is then calculated as follows:

Percentage = (14 ÷ 60) * 100%

Percentage = 0.2333 * 100%

Percentage = 23.33%

Percentage = 23% (Approximated)

ii. Calculating the percentage of people from the 46–55 age group prefer plan II?

First we need to get the total of people from age group 46 - 55.

Total = 27 + 21 + 2 = 50

Then we write out those from this age group that prefer plan II

Tgese category of people are 21

Their percentage is then calculated as follows:

Percentage = (21 ÷ 50) * 100%

Percentage = 0.42 * 100%

Percentage = 42%

From option A through E, only option A satisfied the calculation above

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step-by-step explanation: