Final answer:
The statement that a ratio of 4.47 is better than a ratio of 1.11 is true if 'better' implies a larger numerical value. This would be the case in scenarios where a higher ratio represents a more favorable outcome.
Step-by-step explanation:
When comparing two ratios, the higher numerical value indicates the better ratio if 'better' is defined as larger or greater. In mathematics, comparing 4.47 to 1.11 clearly shows that 4.47 is greater than 1.11. Thus, the statement 'The ratio of 4.47 is better than the ratio of 1.11' is true.
To provide a statistical example, suppose we are discussing the success rate of a procedure where a higher rate indicates a better outcome. In this context, a success rate of 4.47 (or 447%) is not a plausible value since a percentage cannot exceed 100%. However, if we interpret these figures as odds ratios or some other metric not restricted to a maximum of 100%, then a ratio of 4.47 indicates a more favorable outcome compared to a ratio of 1.11.
In the context of hypothesis testing, statistics use p-values and alpha levels (significance levels) to make decisions about the null hypothesis. If an α (alpha) is set at 0.05 and the p-value is below alpha, the null hypothesis is rejected, suggesting the results are statistically significant.