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A Suppose You Conduct a Significance Test and Decide to Reject

Question 49

Short Answer

a. Suppose you conduct a significance test and decide to reject the null hypothesis (H0)\left(\mathrm{H}_{0}\right) at the α=.05\alpha=.05 level. If you conduct the same test on the same data but instead use the α=.01\alpha=.01 level, what decision would you make? (Select your answer. Do not bother to explain.)
-Reject H0\mathrm{H}_{0}
-Fail to reject H0\mathrm{H}_{0}
-Cannot say without more information
b. Suppose you conduct a significance test and decide to fail to reject the null hypothesis (H0)\left(\mathrm{H}_{0}\right) at the α=.05\alpha=.05 level. If you conduct the same test on the same data but instead use the α=.01\alpha=.01 level, what decision would you make? (Select your answer. Do not bother to explain.)
-Reject H0\mathrm{H}_{0}
-Fail to reject H0\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%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.

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a. By rejecting blured image at the blured image level, you know...

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