The two-way table of row relative frequencies below shows data on nationality and eye color. Brown or hazel Eyes Blue or Green eyes Other Row Total English 0.48 0.50 0.02 1.00 German 0.47 0.52 0.01 1.00 Italian 0.80 0.18 0.02 1.00 Based on the data, which of the following statements must be true? (Choice A) A There are the same number of English people and Italian people with other eye colors. (Choice B) B Italians are more likely to have brown or hazel eyes than Germans are. (Choice C) C A German person is more likely to have brown or hazel eyes than to have blue or green eyes. (Choice D) D A person with brown or hazel eyes is least likely to be German.

Respuesta :

Answer:

b

Step-by-step explanation:

its correct

The statement in choice B is true. That's" Italians are more likely to have brown or hazel eyes than Germans".

What's the relative frequency?

A relative frequency indicates the rate of the frequency of a particular event to the total frequency (sum of the frequencies of all the events).

What's the two-way table of frequencies?

  • A two-way table is a frequency table that displays data collected from one source that belongs to two different orders.
  • One order of data is represented by rows and the other is represented by columns.
  • When you compare a cell to the column aggregate, you call this the column relative frequency.
  • When you compare a cell to the row aggregate, we call this the row relative frequency.

Finding the correct statement with the given table:

The given table is shown in the figure below.

Statement A: "There are the same number of English people and Italian people with other eye colors"

From the table, we know only the chances but not the total count of people for each order. So, without knowing the total number of people we can not compare them.

So, this statement is false.

Statement B: "Italians are more likely to have brown or hazel eyes than Germans"

From the table, the probability for Italians- with brown eyes is 0.80, and for Germans- with brown eyes is 0.47

So, the Italians have more likely to have brown eyes than Germans(0.80>0.47). Therefore, this statement is true.

Statement C: "A German person is more likely to have brown or hazel eyes than to have blue or green eyes"

The probability of Germans- brown eyes is 0.47 and the probability of Germans-blue eyes is 0.52. That means A German person is more likely to have blue or green eyes but not brown or hazel eyes.

So, this statement is false.

Statement D: "A person with brown or hazel eyes is least likely to be German"

Since this is the two-way table of row relative frequencies, this statement isn't true. Indeed when considered, without knowing the total number of persons in each group, this can not be answered.

So, this statement is false.

Thus, the statement in choice B is true.I.e.," Italians are more likely to have brown or hazel eyes than Germans".

Learn further about relative frequentness then

https//brainly.com/question/16593362

#SPJ2

Ver imagen tutorconsortium005
Q&A Education