Consider the inference that tests the null hypothesis H0 : β = c against H1 : β > c for some c > 0 at significance level α. Which of the following statement is FALSE? (a) The larger the significance level α, the less likely it is to reject the null hypothesis. (b) The a given estimate ˆb2, the larger the value c, the less likely it is to reject the null hypothesis. (c) The absolute value of test statistic increases the larger the difference between the estimate ˆb and the parameter c. (d) The Error of Type I is determined by the significance level alpha. (e) The larger the estimate ˆb2, the more likely it is to reject the null hypothesis.
Consider the inference that tests the null hypothesis H0 : β = c against H1 : β > c for some c > 0 at significance level α. Which of the following statement is FALSE? (a) The larger the significance level α, the less likely it is to reject the null hypothesis. (b) The a given estimate ˆb2, the larger the value c, the less likely it is to reject the null hypothesis. (c) The absolute value of test statistic increases the larger the difference between the estimate ˆb and the parameter c. (d) The Error of Type I is determined by the significance level alpha. (e) The larger the estimate ˆb2, the more likely it is to reject the null hypothesis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Consider the inference that tests the null hypothesis H0 : β = c against H1 : β > c for some c > 0 at significance level α. Which of the following statement is FALSE?
(a) The larger the significance level α, the less likely it is to reject the null hypothesis.
(b) The a given estimate ˆb2, the larger the value c, the less likely it is to reject the null hypothesis.
(c) The absolute value of test statistic increases the larger the difference between the estimate ˆb and the parameter c.
(d) The Error of Type I is determined by the significance level alpha.
(e) The larger the estimate ˆb2, the more likely it is to reject the null hypothesis.
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