Final answer:
The question deals with statistical analysis in mathematics, concerning the effectiveness of a flea shampoo, with a specific confidence interval given and a conclusion about the product's efficacy based on survey data.
Step-by-step explanation:
The question relates to statistics, a branch of mathematics, and involves interpreting survey results, hypothesis testing, and confidence intervals. The survey mentioned found that 22% of pet owners had their pets bathed professionally. However, when evaluating the effectiveness of a new flea shampoo, at the 1 percent level of significance, the conclusion is that there isn't sufficient evidence to support that the percentage of fleas killed by the new shampoo is greater than 25%. A poem is cited mentioning a product called Bubble Hype, which was not satisfactory as it only killed 25 percent of the fleas. Furthermore, a confidence interval is given at 95 percent, stating that between 26 percent and 55 percent of fleas are killed by the new shampoo, which indicates a level of uncertainty about the shampoo's effectiveness.
The note remarks about the close proximity of the p-value to the alpha, suggesting further testing might be needed. This could involve additional trials of the shampoo after the fleas have had the opportunity to return, in order to gain a more definitive conclusion about its efficacy.