Question

A medical researcher tested a new treatment for poison ivy against the traditional ointment. He concluded that the new treatment is more effective. Explain what P-Value of 0.047 means in this context.

Answer 1

A p-value of 0.047 means that there is a 4.7% probability of obtaining the observed results if the null hypothesis is true. Therefore, we can conclude that the new treatment is more effective than the traditional ointment.

Step-by-step explanation:

In this context, a p-value of 0.047 means that there is a 4.7% probability of obtaining the observed results (or more extreme results) if the null hypothesis is true. In other words, if the null hypothesis states that there is no difference between the new treatment and the traditional ointment, the probability of observing the results that were obtained in the study is 4.7%.

Typically, in hypothesis testing, a p-value of less than 0.05 (or 5%) is considered statistically significant. Since the p-value in this case is 0.047, which is less than 0.05, we can reject the null hypothesis and conclude that the new treatment is more effective than the traditional ointment.

Answer 2

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

Step-by-step explanation:

When we talk of a p-value, we are referring to a conditional probability. What it tells us is the probability of getting results which are at least as unusual as the observed statistics in a case where we are given that the null hypothesis is not false.

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

So what this means is that, in this case it is better that more data is collected to enable us know how effective the new treatment is