For each statement, determine whether it is True or False. (a) The generalized l
ID: 3059450 • Letter: F
Question
For each statement, determine whether it is True or False.
(a) The generalized likelihood ratio statistic is always less than or equal to 1.
(b) If the p-value is 0.03, the corresponding test will reject at the significance level 0.02.
(c) If a test rejects at significance level 0.06, then the p-value is less than or equal to 0.06.
(d) The p-value of a test is the probability that the null hypothesis is correct.
(e) If a chi-square test statistic with 4 degrees of freedom has a value of 8.5, the p-value is less than 0.05.
(f) Suppose that a 99% confidence interval for the mean µ of a normal distribution is founded to be (-2.0, 3.0). A test of H0 : µ = 3 versus Ha : µ 6= 3 would be rejected at the 0.01 significance level.
Explanation / Answer
For each statement, determine whether it is True or False.
(a) The generalized likelihood ratio statistic is always less than or equal to 1.
(b) If the p-value is 0.03, the corresponding test will reject at the significance level 0.02.
(c) If a test rejects at significance level 0.06, then the p-value is less than or equal to 0.06.
(d) The p-value of a test is the probability that the null hypothesis is correct.
(e) If a chi-square test statistic with 4 degrees of freedom has a value of 8.5, the p-value is less than 0.05.
(f) Suppose that a 99% confidence interval for the mean µ of a normal distribution is founded to be (-2.0, 3.0). A test of H0 : µ = 3 versus Ha : µ 6= 3 would be rejected at the 0.01 significance level.
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