Question: Jayden did a two-sample t test of the hypotheses H0:1 = 2 versus HA: 1 2, using samples sizes of n1 = n2 =

Jayden did a two-sample t test of the hypotheses H0:µ1 = µ2 versus HA: µ1 ≠ µ2, using samples sizes of n1 = n2 = 12. The P-value for the test was 0.12, and α was 0.10. Suppose that everything except the sample sizes were the same (i.e. 1 was the same, 2 was me same, etc.), but the sample sizes had been n1 = n2 = 7. Then
(i) The P-value would still be 0.12 and α would be less than 0.10.
(ii) The P-value would still be 0.12 and α would be greater than 0.10.
(iii) The P-value would be less than 0.12 and α would still be 0.10.
(iv) The P-value would be less than 0.12 and α would be less than 0.10.
(v) The P-value would be less than 0.12 and α would be greater than 0.10
(vi) The P-value would be greater than 0.12 and α would still be 0.10.
(vii) The P-value would be greater than 0.12 and α would be less than 0.10
(viii) The P-value would be greater than 0.12 and α would be greater than 0.10
Choose one of these and explain why your choice is true.

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