Question

Python eggsRefer to Exercise 26.

(a) Of the eggs that hatched, what proportion were randomly assigned to hot water?

(b) Of the eggs that were randomly assigned to hot water, what percent hatched?

(c) The segmented bar graph displays the distribution of hatching status by water temperature. Describe what this graph reveals about the association between these two variables for the python eggs in this experiment.

Short answer

Part (a) .5814

Part (b) 72.12%

Part (c) As the temperature rises, eggs appear to be more likely to hatch. We notice that the majority of the eggs hatch at each temperature.

Step-by-step solution

Part (a) Step 1. Given information.

The given table is:

Part (a) Step 2. Find the proportion of hatched eggs that were randomly assigned to hot water.

The total of eggs that were hatched are: 129

From them, 75 eggs are assigned to hot water.

Therefore, the required proportion is:

$\frac{75}{129}=\frac{25}{43}\mathrm{or}\approx 0.5814$

Part (b) Step 1. Find the percent of hatched eggs from the eggs that were randomly assigned hot water.

The total of eggs that were assigned hot water: 104

From them, 75 eggs are hatched.

Therefore, the required proportion is:

$\frac{75}{104}=\frac{23}{43}\mathrm{or}72.12\%$

Part (c) Step 1.  Describe the association between these two variables from the given graph.

When comparing the green sections of the bars of the bar graph, we see that the green section is smallest for "Low" and greatest for "High". This suggests that eggs are more likely to hatch as the temperature rises.

Because the green area of each bar is larger than the red section of the bar, the majority of the eggs hatch at each temperature.