Answer:
The author is referring to the acceptance or rejection of the null hypothesis because of significance testing.
Explanation:
In significance testing, if the result is statistically significant with p < 0.05, the conclusion is that it is not probably caused by chance. Since statistical significance indicates a strong evidence against the null hypothesis, the null hypothesis is rejected by the researcher, and the alternative hypothesis is accepted. But, if the p = 0.67, the result is said to be not marginally significant, and the null hypothesis is not rejected. These two conclusions mean that the researcher's rejection or acceptance of a null hypothesis is decided by a thin margin, and this is why wrong conclusions can be made at times.