STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Reject Ho
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Reject Ha
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Fail to reject Ho
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Fail to reject Ha
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Detailed explanation-1: -The 95% confidence interval for µ is the set of values, µ0, such that the null hypothesis H0 : µ = µ0 would not be rejected (by a two-sided test with = 5%). The 95% CI for µ is the set of plausible values of µ. If a value of µ is plausible, then as a null hypothesis, it would not be rejected.
Detailed explanation-2: -In null hypothesis testing, this criterion is called (alpha) and is almost always set to . 05. If there is less than a 5% chance of a result as extreme as the sample result if the null hypothesis were true, then the null hypothesis is rejected. When this happens, the result is said to be statistically significant .
Detailed explanation-3: -The level of significance which is selected in Step 1 (e.g., =0.05) dictates the critical value. For example, in an upper tailed Z test, if =0.05 then the critical value is Z=1.645.