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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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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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