Question

A group surveyed a mix of people below and above 40 years old about whether or not they visit a dentist once a year. This table gives the survey results.
Visit Dentist Yearly Don’t Visit Dentist Yearly
Below 40 8 22
Above 40 17 13

Which table shows the relative frequency of people above 40 years old who do not visit a dentist once a year? Round your answers to the nearest hundredth.
A.
Visit Dentist Yearly Don’t Visit Dentist Yearly
Below 40 0.32 0.68
Above 40 0.63 0.37
B.
Visit Dentist Yearly Don’t Visit Dentist Yearly
Below 40 0.35 0.65
Above 40 0.68 0.32
C.
Visit Dentist Yearly Don’t Visit Dentist Yearly
Below 40 0.37 0.63
Above 40 0.53 0.47
D.
Visit Dentist Yearly Don’t Visit Dentist Yearly
Below 40 0.27 0.73
Above 40 0.57 0.43

Answer 1

The frequency table that shows the relative frequency of people older than 40 and don't visit the dentist is:

D.                  Visit Dentist Yearly Don’t Visit Dentist Yearly

Below 40                    0.27                         0.73

Above 40                   0.57                          0.43

What is the relative frequency required?

The relative frequency of those older than 40 and don't go annually to a dentist can be found as:

= Number of over 40 who don't go to dentist / Total of those over 40 surveyed

Solving gives:

= 13 / (17 + 13)

= 13 / 30

= 0.43

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