Question

is the treatment more effective? (option 3 of 4)
a pharmaceutical company claims that they have developed a new treatment for a disease that is more effective than the current treatment, which is 87% effective. a trial of 50 people was conducted and and 46 were effectively vaccinated, which is 92% (46/50=0.92).

1. from the given evidence, are you convinced of the pharmaceuticals claim that the new treatment is better than the current one? explain.
2. is there any more additional information youd like to know or additional tests to be done to make a conclusion?

Explanation:

1. A sample size of 50 is relatively small. Statistical significance is not guaranteed just because the sample proportion (92%) is higher than the current treatment's effectiveness (87%). There could be sampling variability. For example, if we were to take multiple samples of 50, the proportion of effectively vaccinated people might vary. Just based on this one - sample result, we cannot be certain that the new treatment is truly more effective in the entire population of people with the disease.
2. We would like to know more about the sampling method (e.g., was it a random sample? Were there any biases in selecting the 50 people?), the long - term effects of the new treatment (the current treatment's 87% effectiveness might be based on long - term data), and results from larger - scale, multi - center trials. Larger sample sizes (e.g., hundreds or thousands of participants) would give a more reliable estimate of the treatment's true effectiveness. Multi - center trials can account for different patient demographics and environmental factors.

Answer:

1. No, I am not convinced.
2. Yes, additional information and tests are needed.