Question

the two-way table displays data about 55 different locations. scientists have a list of
prater caler that can be used to assess the health of the coral. they first look at how
the coral is affected by the nitrate concentration. the table displays the health or
unhealth (healthy or unhealthy) and the nitrate concentration (low or high).

complete the two-way relative frequency table for the data in the two-way table in
which the relative frequencies are calculated using the total for each column.

Explanation:

Step1: Calculate relative frequency for Healthy - Low Nitrate

Relative frequency = \(\frac{\text{Number of Healthy with Low Nitrate}}{\text{Total of Low Nitrate}}\)
\(\frac{20}{28}=\frac{5}{7}\approx0.714 = 71.4\%\)

Step2: Calculate relative frequency for Unhealthy - Low Nitrate

Relative frequency = \(\frac{\text{Number of Unhealthy with Low Nitrate}}{\text{Total of Low Nitrate}}\)
\(\frac{8}{28}=\frac{2}{7}\approx0.286=28.6\%\)

Step3: Calculate relative frequency for Healthy - High Nitrate

Relative frequency = \(\frac{\text{Number of Healthy with High Nitrate}}{\text{Total of High Nitrate}}\)
\(\frac{5}{27}\approx0.185 = 18.5\%\)

Step4: Calculate relative frequency for Unhealthy - High Nitrate

Relative frequency = \(\frac{\text{Number of Unhealthy with High Nitrate}}{\text{Total of High Nitrate}}\)
\(\frac{22}{27}\approx0.815=81.5\%\)

Answer:

	Low Nitrate Concentration	High Nitrate Concentration
Unhealthy	\(28.6\%\)	\(81.5\%\)
Total	\(100\%\)	\(100\%\)