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 left-tailed test with n = 41 has a test statistic t =-2.72. Which is the correct p-value?
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0.0033
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0.0048
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0.9952
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0.9967
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Explanation:
Detailed explanation-1: -For a left tailed test we need to check if the test statistic (TS) is smaller than the critical value (CV). If the test statistic is smaller the critical value, the test statistic is in the rejection region. When the test statistic is in the rejection region, we reject the null hypothesis ( ).
Detailed explanation-2: -T = (X̄ – ) / S/√n A sample size of 16 persons is taken. The mean number of days spent on vacation by the persons in sample is found to be 9 days with a sample standard deviation is found to be 3 days. At a level of significance of 0.05, the T-value for a right-tailed test comes out to be 1.75305.
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