# Question 32f49

Jun 8, 2017

$53.13$; See Explanation

#### Explanation:

Since you got $0.53125$, we multiply this by 100% to get $53.125$ to which we round to two decimal places to get 53.13%

Jun 8, 2017

Yes, the terminology may make it more confusing than it needs to be.

#### Explanation:

Apart from the wordy explanation, what you have is a set of data. It is in Table form to define some categories. Two flavors and two age groups are made. We could do similar analyses on any of the age groups or flavors. In all cases, what they are calling "frequency" is just the number of times something occurs. What they call a "marginal frequency" (unnecessary definition) is just the percentage of one category to another.

In this case chocolate is the only criterion, so the age groups don't matter. The percentage of ALL respondents who prefer chocolate to vanilla is as indicated, $\frac{34}{64} = 0.53$, or 0.53*100 = 53%

IF we wanted to know only how many TEENS preferred chocolate we would use the value for chocolate in the teens column:
$\frac{18}{64} = 0.28$, or 0.28*100 = 28%#

We could compare the preference of chocolate to vanilla between the age groups to see if age affects the preference.

Teens preferring chocolate (amongst teens only)
$\frac{18}{39} = 0.46$

$\frac{16}{25} = 0.64$