To solve the problem using the given data from the table, we need to understand the probabilities related to the eggs that have hatched and the temperatures at which they were kept.
Here is the table formatted suitably for clarity:
```
\begin{tabular}{|c|c|c|c|c|}
\hline
& Cool & Room Temperature & Warm & Total \\
\hline
Hatched & 5 & 16 & 21 & 42 \\
\hline
Unhatched & 18 & 10 & 4 & 32 \\
\hline
Total & 23 & 26 & 25 & 74 \\
\hline
\end{tabular}
```
To make the appropriate conclusion, we can follow a series of steps:
1. Identify the Totals:
- Total eggs recorded = 74
- Total hatched eggs = 42
- Total unhatched eggs = 32
2. Focus on Hatched Eggs:
- Hatched eggs that were kept cool = 5
- Hatched eggs that were kept at room temperature = 16
- Hatched eggs that were kept warm = 21
3. Probability Calculation:
- To understand the probability-related statement, we consider the probability that a hatched egg was kept in a warm condition. This probability is derived from:
[tex]$ P(\text{Warm | Hatched}) = \frac{\text{Number of hatched eggs kept warm}}{\text{Total number of hatched eggs}} $[/tex]
4. Substitute the values:
- Number of hatched eggs kept warm = 21
- Total number of hatched eggs = 42
[tex]$
P(\text{Warm | Hatched}) = \frac{21}{42} = 0.5
$[/tex]
5. Interpret the result:
- The probability that a hatched egg was kept warm is 0.5 (50%). This indicates if an egg has hatched, there is a 50% chance it was kept in warm conditions.
Given this understanding, let's fill in the statement in the drop-down menu:
"The egg was \[tex]$\square\$[/tex] , the egg was kept warmer than room temperature."
Since we need to conclude where the probability condition fits relative to being hatched or unhatched, we consider it fruitfully only for hatched because 50% was our calculated answer for hatch conditions.
So, the correct option to fill in the blank:
---
Given the egg has hatched, the egg was kept warmer than room temperature.
---
