Which of the following statements is true about the null hypothesis? Question 1 options: It is a statement that directly contradicts the null hypothesis Often includes a < or > sign or states that something is not equal We determine whether or not to reject this statement based on the likelihood of the opposite hypothesis being true It is a statement about the population parameter Question 2True or False? A small p-value indicates strong evidence against the null hypothesis Question 2 options: True False Question 3 Which statement is incorrect? Question 3 options: Strong evidence against the null is indicated by a p-value less than 0.05 Weak evidence against the null is indicated by a p-value greater than 0.05 Marginal evidence against the null is indicated by a p-value around 0.05 All are correct Question 4 Which statement is NOT true? Question 4 options: Type I error occurs when we measure something to be false and it is true in reality No error occurs when we measure something to be significant and it is also significant in reality Type II error occurs when we accept something is true in reality and measure it to be false No error occurs when we accurately measure something as false

Answered: Which of the following statements is…

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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Question 2

True or False? A small p-value indicates strong evidence against the null hypothesis

Question 2 options:

	True
	False

Question 3

Which statement is incorrect?

Question 3 options:

	Strong evidence against the null is indicated by a p-value less than 0.05
	Weak evidence against the null is indicated by a p-value greater than 0.05
	Marginal evidence against the null is indicated by a p-value around 0.05
	All are correct

Question 4

Which statement is NOT true?

Question 4 options:

	Type I error occurs when we measure something to be false and it is true in reality
	No error occurs when we measure something to be significant and it is also significant in reality
	Type II error occurs when we accept something is true in reality and measure it to be false
	No error occurs when we accurately measure something as false

Expert Solution

Step 1

Given Information:

Which of the following statements is true about the null hypothesis?

It is a statement that directly contradicts the null hypothesis:

False. Alternative hypothesis is a statement that directly contradicts the null hypothesis.

Often includes a < or > sign or states that something is not equal

False. Alternative hypothesis includes < or > sign or states that something is not equal ( $\neq$ )

We determine whether or not to reject this statement based on the likelihood of the opposite hypothesis being true:

False. The null and alternative hypothesis are statements regarding the differences or effects that occur in the population. We use sample data to test which statement ( i.e., the null hypothesis or alternative hypothesis) is most likely (technically we test the evidence against the null hypothesis).

P-value is a probability of obtaining the value of the test statistic (from sample results) or more extreme, assuming the null hypothesis is true.

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