FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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We want to test H0:µ = 1.5 vs. Ha:µ ≠ 1.5 at
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fail to reject H0
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reject H0
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cannot make any decision at all because the value of the test statistic is not available
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cannot make any decision at all because the distribution of the population is unknown
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cannot make any decision at all because (1.4, 3.6) is only a 95% confidence interval for µ
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Explanation:
Detailed explanation-1: -The classical procedure for testing a null hypothesis is to fix a small significance level and then require that the probability of rejecting H0 when H0 is true is less than or equal to .
Detailed explanation-2: -In accordance with the conventional acceptance of statistical significance at a P-value of 0.05 or 5%, CI are frequently calculated at a confidence level of 95%. In general, if an observed result is statistically significant at a P-value of 0.05, then the null hypothesis should not fall within the 95% CI.
Detailed explanation-3: -At a level of significance of 0.05, z = − 1.96 and z = 1.96 for a two-tailed test. Thus, our acceptance region is [− 1.96, 1.96] of the standard normal distribution.
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