A Suppose You Conduct a Significance Test and Decide to Reject

Short Answer

a. Suppose you conduct a significance test and decide to reject the null hypothesis $\left(\mathrm{H}_{0}\right)$ at the $\alpha=.05$ level. If you conduct the same test on the same data but instead use the $\alpha=.01$ level, what decision would you make? (Select your answer. Do not bother to explain.)
-Reject $\mathrm{H}_{0}$
-Fail to reject $\mathrm{H}_{0}$
-Cannot say without more information
b. Suppose you conduct a significance test and decide to fail to reject the null hypothesis $\left(\mathrm{H}_{0}\right)$ at the $\alpha=.05$ level. If you conduct the same test on the same data but instead use the $\alpha=.01$ level, what decision would you make? (Select your answer. Do not bother to explain.)
-Reject $\mathrm{H}_{0}$
-Fail to reject $\mathrm{H}_{0}$
-Cannot say without more information
c. Suppose that we tell you that we flipped a coin multiple times and it landed heads $75 \%$ of the time. Would you be reasonably convinced that this was not a fair coin (where "fair" means that the coin has a .5 probability of landing "heads")? If so, explain why. If not, describe what additional information you would ask for and explain why it is necessary.