# Type I and Type II Error

Not what you're looking for?

It is claimed that a new treatment for prolonging the life of patients with leukemia is more effective than previous treatments. The null and research or alternative hypotheses for a data set are: Ho: mu < 10.6 years and Ha: mu > 10.6 years (claim).

a. State the research conclusion that was written if Ho was rejected and a Type I error was made.

b. State the research conclusion that was written if Ho was not rejected and a Type II error was made.

c. State the research conclusion that was written if a sample size of 15 with an alpha level of 0.05 has a test value of 2.27?

##### Purchase this Solution

##### Solution Summary

It is claimed that a new treatment for prolonging the life of patients with leukemia is more effective than previous treatments. The null and research or alternative hypotheses for a data set are: Ho: mu < 10.6 years and Ha: mu > 10.6 years (claim).

a. State the research conclusion that was written if Ho was rejected and a Type I error was made.

b. State the research conclusion that was written if Ho was not rejected and a Type II error was made.

c. State the research conclusion that was written if a sample size of 15 with an alpha level of 0.05 has a test value of 2.27?

##### Solution Preview

First, a few words about Type I and II errors:

<br><br>

<br><br>There are two kinds of errors that can be made in significance testing: (1) a true null hypothesis can be incorrectly rejected and (2) a false null hypothesis can fail to be rejected. The former error is called a Type I error and the latter error is called a Type II error.

<br><br>These two types of errors are defined in the attached table. The probability of a Type I error is designated by the Greek letter alpha (a) and is called the Type I error rate; the probability of a Type II error (the Type II error rate) is designated by the Greek letter beta (à?) .

<br><br>

<br><br>A Type II error is only an error in the sense that an opportunity to reject the null hypothesis ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.