Researchers used a random sample to test the null hypothesis that the average change between 2000 and 2010 in the real hourly wages of construction workers was equal to 0. Their decision rule was to reject the null hypothesis if the two-sided P value is less than α. Use a rough sketch to answer the following questions. If the population mean is, in fact, equal to −$0.75,

a. are they more likely to reject the null hypothesis if α = 0.05 or if α = 0.01?

b. are they more likely not to reject the null hypothesis if α = 0.05 or if α = 0.01?