A researcher wants to find out if there is a significant difference between men and women in the average number of tattoos that a person has. After doing the statistical analysis, the researcher finds that the p-value is 0.003. If the chosen significance level is 0.05 (5%), which of the following statements is the best interpretation of this p-value? The results are statistically significant. The results are not statistically significant. The magnitude of a p-value has no impact on statistical significance.

The results are statistically significant.

Here's why:

The p-value is a measure of the probability that the observed results could have occurred by chance if the null hypothesis is true. In this case, the null hypothesis would be that there is no difference between men and women in the average number of tattoos.

A p-value of 0.003 means there is a 0.3% chance that the observed results could have occurred by chance if the null hypothesis is true. This is less than the chosen significance level of 0.05 (or 5%), which is the threshold the researcher has set for deciding whether the results are statistically significant.

Because the p-value is less than the significance level, the researcher would reject the null hypothesis and conclude that the results are statistically significant. In other words, the researcher has found evidence to suggest there is a difference between men and women in the average number of tattoos.