State whether or not you agree with each of the following statements and provide

Question

State whether or not you agree with each of the following statements and provide a short summary of the reasons for your answers. (a) If the P-value is larger than 0.05, the null hypothesis is true. (b) Practical significance is not the same as statistical significance. (c) We can perform a statistical analysis using any set of data. (d) If you find an interesting pattern in a set of data, it is appropriate to then use a significance test to determine its significance. (e) It’s always better to use a significance level of =0.05 than to use =0.01 because it is easier to find statistical significance.

Really just looking for (c), (d), and (e). Thanks

Explanation / Answer

Solution:

(a) Failing to reject Ho does not mean that No is true.
(b) This is correct; a difference that is statistically significant might not be practically important. (This does not mean that these are opposites; a difference could be both statistically and practically significant.)
(c) This might be technically true, but in order for the analysis to be meaningful, the data must satisfy the assumptions of the analysis.
(d) Searching for patterns and then testing their significance can lead to false positives (that is, we might reject the null hypothesis incorrectly). If a pattern is observed, we should collect new data to test if it is present.
(e) This means that the p-value is less than 0.05 but greater than 0.01 (0.01 < p-value < 0.05)

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