STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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In a test of H0:p = 0.7 against Ha:p ≠ 0.7, a sample of size 80 produces z = 0.8 for the value of the test statistic. Which of the following is closest to the P-value of the test?
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0.2090
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0.2119
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0.4238
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0.4681
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0.7881
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Explanation:
Detailed explanation-1: -If p-value = 0.2, there is a 20% chance that the null hypothesis is correct?. P-value = 0.02 means that the probability of a type I error is 2%.
Detailed explanation-2: -If the p-value is less than or equal to the specified significance level , the null hypothesis is rejected; otherwise, the null hypothesis is not rejected. In other words, if p≤, reject H0; otherwise, if p> do not reject H0.
Detailed explanation-3: -If 0.03 is the chosen critical value (=0.03), then the null hypothesis would be rejected. If 0.02 is the chosen critical value (=0.02), then the null hypothesis would NOT be rejected. If 0.01 is the chosen critical value (=0.01), then the null hypothesis would NOT be rejected.
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