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Hypothesis testing, type I, and type II errors

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

A. If Ho was rejected, and type 1 error occurred, this would mean that although Ho was rejected, it is in fact true. Mu is indeed less than 10.6 years ...

Solution Summary

the following discusses the idea of making type I and type II errors. Additionally, an interpretation of a test statistics from a given sample is provided.

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