Question

Finney reported the data of Martin involving the toxicity of rotenone to the insect species Macrosiphoniella sanborni. The rotenone was applied in a medium of 0.5% saponin, containing 5% alcohol. The insects were examined and classified one day after spraying. The obtained data were:

Dose pf Rotenone (mg/l) Numer of insects Number affected
10.2 50 44
7.7 49 42
5.1 46 24
3.8 48 16
2.6 50 6
0 49 0

From the given data, plot the percentage of insects affected versus the natural logarithm of the dose

Answer 1

To graph the percentage of affected insects against the dose of rotenone, calculate the percentage for each dose, take the natural logarithm of doses and plot them, resulting in a dose-response curve.

Step-by-step explanation:

To plot the percentage of insects affected versus the natural logarithm of the dose of rotenone, one needs to first calculate the percentage of affected insects for each dose level. Then, take the natural logarithm (ln) of each dose to plot on the x-axis. Here are the calculations for the percentage affected:

• For 10.2 mg/l with 44 affected out of 50 insects: (44/50)*100 = 88%
• For 7.7 mg/l with 42 affected out of 49 insects: (42/49)*100 = 85.71%
• For 5.1 mg/l with 24 affected out of 46 insects: (24/46)*100 = 52.17%
• For 3.8 mg/l with 16 affected out of 48 insects: (16/48)*100 = 33.33%
• For 2.6 mg/l with 5 affected out of 50 insects: (5/50)*100 = 10%
• For 0 mg/l with 0 affected out of 49 insects: (0/49)*100 = 0%

Next, the natural logarithm of each dose is calculated and plotted on the x-axis, with the corresponding percentage affected on the y-axis. The resulting graph would typically display the sigmoidal shape characteristic of a dose-response curve in toxicology studies.