Question

we test whether two group population means differ. the p-value of our test statistic is 0.047 which is less than or equal to 0.05. what is the most appropriate conclusion we can make with the information given?

Answer 1

We concluded that the population means of the two groups being tested are significantly different.

Step-by-step explanation:

When comparing the p-value to the significance level, denoted as α (alpha), a p-value of 0.047 which is less than the commonly used threshold of 0.05, indicates that we should reject the null hypothesis (H0).

This implies that, at a 5 percent level of significance, there is sufficient evidence to conclude that there are statistically significant differences between the means of the two groups being compared.

Therefore, it is appropriate to conclude that the population means differ.