In a significance test, if α is less than the p-value,_________________. a) accept the alternative hypothesis. b) reject the alternative hypothesis. c) fail to reject the null hypothesis. d) run the test again because a type I error has been made. e) standard error

Answered: In a significance test, if α is less…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a significance test, if α is less than the p-value,_________________.

a)	accept the alternative hypothesis.

b)	reject the alternative hypothesis.

c)	fail to reject the null hypothesis.

d)	run the test again because a type I error has been made.

e)	standard error

Expert Solution

Step 1

P-value:

P-value is defined as the probability of obtaining a result at least as extreme as the observed value, given that the null hypothesis, H₀ is true. The test is said to be statistically significant, when P-value<α, for level of significance α.

Smaller the significance level, a will have less chance to reject the null hypothesis.

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