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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A significance test was performed to test the null hypothesis H0:µ = 2 versus the alternative Ha:µ ≠ 2. A sample of size 28 produced a test statistic is t = 2.051. Assuming all conditions for inference were met, which of the following intervals contains the P-value for this test?
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P < 0.01
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0.01≤ P < 0.02
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0.02 ≤ P < 0.025
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0.025 ≤ P < 0.05
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0.05 ≤ P < 0.10
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Explanation:
Detailed explanation-1: -Which of the following best describes the significance level of a test H0: µ = 1 vs. HA: µ > 1? The probability that the test REJECTS H0 when µ = 1 is true.
Detailed explanation-2: -Hypothesis testing is the process of making a choice between two conflicting hypotheses. The null hypothesis, H0, is a statistical proposition stating that there is no significant difference between a hypothesized value of a population parameter and its value estimated from a sample drawn from that population.
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