If a researcher were to use a .01 level of significance rather than the .05 level, the probability of a type i error would

 The correct answer is :  Using the 0.01 level of significance is not demanding enough. Using the true Bonferroni technique, the researchers would have to conclude that their 0.01 level was not quite demanding enough.

A Type I error is made when the null hypothesis is rejected when it is true. The probability of making a Type I error is alpha, which is the level of significance that one sets for his hypothesis test. An alpha of O.05 indicates that one is willing to accept a 5% probability of being wrong in rejecting the null hypothesis. If you want to reduce the risk, you need to use a lower value for alpha. The level of significance is the probability of making a Type I error that an investigator is willing to accept.