**Understanding Hypothesis Testing:**Consider the following table in reference to a hypothesis test:\[\begin{array}{c|c|c}& H_0 \text{ True} & H_0 \text{ False} \\\hline\text{Accept } H_0 & (1) & (2) \\\text{Reject } H_0 & (3) & (4) \\\end{array}\]The table is a framework used to understand the outcomes of hypothesis testing. - **Accept $H_0$:** Refers to failing to reject the null hypothesis.- **Reject $H_0$:** Refers to rejecting the null hypothesis.The numbers (1), (2), (3), and (4) represent possible outcomes:- **(1):** True acceptance of $H_0$ when it is true (correct decision).- **(2):** Accepting $H_0$ when it is false (Type II error).- **(3):** Incorrectly rejecting $H_0$ when it is true (Type I error).- **(4):** Correctly rejecting $H_0$ when it is false (correct decision).**Question:**A Type II error occurs when entry (1) is made.- ⃝ 1) True- ⃝ 2) False**Answer Explanation:**The statement is **False**. A Type II error occurs when you fail to reject the null hypothesis $H_0$ when it is actually false, which corresponds to entry (2).

Given, H0 TrueH0 falseAccept H0(1)(2)Reject H0(3)(4)Entry (1) is Accept H0 if H0 is true. Type II error is Accept H0 if H0 is false. Entry (1) is not a type II error.The correct option is 2) False

Answered: Consider the following table in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

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Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A recent study at a university showed that the proportion of students who commute more than 15 miles to school is 25%. Suppose we have good reason to suspect that the proportion is greater than 25%, and we carry out a hypothesis test. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H;: D O
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Consider the following table in reference to a hypothesis test: Ho True Ho false (1) (3) Accept Ho Reject Ho (2) (4) A Type Il error occurs when entry (1) is made. 1) True 2) False