Answer on Question #78837 – Math – Statistics and Probability
Question
State whether the null hypothesis should be rejected on the basis of the given P-value
(i) P-value = 0.0684, α = 0.10, two tailed test
(ii) P-value = 0.0153, α = 0.01, one tailed test
(iii) P-value = 0.0232, α = 0.05, two tailed test
(iv) P-value = 0.002, α = 0.01, one tailed test.
Solution
(i) Reject the null hypothesis (0.0684 < 0.10).
(ii) Fail to reject the null hypothesis (0.0153 > 0.01).
(iii) Reject the null hypothesis (0.0232 < 0.05).
(iv) Reject the null hypothesis (0.002 < 0.01).
Answer: (i) Reject the null hypothesis; (ii) Fail to reject the null hypothesis;
(iii) Reject the null hypothesis; (iv) Reject the null hypothesis.
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