Question

1. python eggs refer 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 mosaic plot 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.

Explanation:

Answer:

(a) To find the proportion, we need data from Exercise 26 (not shown here, but typically, if we assume from the mosaic plot and standard problem setups, suppose total hatched eggs: let's say from cold, neutral, hot hatched are 60%, 68%, 70% (relative to their groups? Wait, no—actually, for part (a), we need number of hatched eggs in hot over total hatched. But since Exercise 26 likely has counts: e.g., if Exercise 26 had, say, Cold: 27 hatched, 16 not; Neutral: 51 hatched, 17 not; Hot: 67 hatched, 16 not. Then total hatched: 27 + 51 + 67 = 145. Hatched in hot: 67. So proportion is 67/145 ≈ 0.462 (or 46.2%). But since the exact numbers are from Exercise 26, assuming that, the answer would be (number of hot-hatched)/(total hatched). Let's use the common numbers for this problem (Python eggs experiment): Cold: 27 hatched, 16 not; Neutral: 51 hatched, 17 not; Hot: 67 hatched, 16 not. So total hatched: 27 + 51 + 67 = 145. Hot hatched: 67. So 67/145 ≈ 0.462 (or 46.2%).
(b) Percent hatched in hot: (hatched in hot / total in hot) 100. Total in hot: 67 + 16 = 83. So (67/83)100 ≈ 80.7%.
(c) The mosaic plot shows that as water temperature increases from cold to neutral to hot, the relative frequency of hatched eggs (green) increases, and the relative frequency of non - hatched eggs (red) decreases. This indicates a positive association between water temperature (cold, neutral, hot) and hatching status (more eggs hatch at higher temperatures). Specifically, cold water has the lowest proportion of hatched eggs, neutral has a higher proportion, and hot water has the highest proportion of hatched eggs, while the proportion of non - hatched eggs follows the opposite pattern.