There are two types of incorrect decisions that can be made in testing a hypothe

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There are two types of incorrect decisions that can be made in testing a hypothesis, namely Type I error and a Type II error. (a) Explain the meaning of each type of error. (b) Identify the letter used to represent the probability of each type of error. (c) If the null hypothesis is in fact true, then only one type of error is possible. Which type is that? Explain your answer.
(d) If we fail to reject the null hypothesis, then only one type of error is possible. Which type is that? Explain your answer.
There are two types of incorrect decisions that can be made in testing a hypothesis, namely Type I error and a Type II error. (a) Explain the meaning of each type of error. (b) Identify the letter used to represent the probability of each type of error. (c) If the null hypothesis is in fact true, then only one type of error is possible. Which type is that? Explain your answer.
(d) If we fail to reject the null hypothesis, then only one type of error is possible. Which type is that? Explain your answer.
There are two types of incorrect decisions that can be made in testing a hypothesis, namely Type I error and a Type II error. (a) Explain the meaning of each type of error. (b) Identify the letter used to represent the probability of each type of error. (c) If the null hypothesis is in fact true, then only one type of error is possible. Which type is that? Explain your answer.
(d) If we fail to reject the null hypothesis, then only one type of error is possible. Which type is that? Explain your answer.

Explanation / Answer

(a)A type I error (or error of the first kind) is the incorrect rejection of a true null hypothesis. Usually a type I error leads one to conclude that a supposed effect or relationship exists when in fact it doesn't.

A type II error (or error of the second kind) is the failure to reject a false null hypothesis.

(b)Type one error is denoted by type I.

Type two error is denoted by type II.

(c)If the null hypothesis is in fact true, then only type I error is possible. Type-1 = True H0 but reject it (False Positive).

(d)If we fail to reject the null hypothesis, then only type II error is possible. Type-2 = False H0 but accept it (False Negative)

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