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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There is sufficient evidence to conclude that µ < 60.
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There is sufficient evidence to conclude that µ = 60.
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There is insufficient evidence to conclude that µ = 60.
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There is insufficient evidence to conclude that µ ≠ 60
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There is sufficient evidence to conclude that µ ≠ 60.
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Detailed explanation-1: -A test of H0: µ=60 versus Ha: µ≠60 produces a sample mean of x-bar = 58 and a P-value of 0.04. At an = 0.05 level, which of the following is an appropriate conclusion? There is sufficient evidence to conclude that µ < 60.
Detailed explanation-2: -If a null hypothesis about a population proportion p is rejected at the 0.025 level of significance, then it must also be rejected at the 0.05 level.
Detailed explanation-3: -A statistically significant test result (P ≤ 0.05) means that the test hypothesis is false or should be rejected. A P value greater than 0.05 means that no effect was observed.
Detailed explanation-4: -The significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.