Question

Question help the construction of the tminus−statistic for a oneminus− and a twominus−sided hypothesis

a. uses plus or minus±1.96 for the twominus−sided ​test, but only​ +1.96 for the oneminus−sided test.
b. is different since the critical value must be 1.645 for the oneminus−sided ​hypothesis, but 1.96 for the twominus−sided hypothesis​ (using a​ 5% probability for the type i​ error).
c. depends on the critical value from the appropriate distribution.
d. is the same.

Answer 1

The construction for the two sided and one sided hypothesis is the same so the answer is letter d. the explanation behind this is: If you use a two-tailed test it just means that you need to allot half of your alpha to testing statistical significance. If your alpha is equal to 0.05, then this means that 0.025 must be in each tail of the distribution while for the one-tailed test, you will only allot your alpha in one-side.