Question

A certain experimental drug claims a cure rate of at least 75% for males with prostate...

A certain experimental drug claims a cure rate of at least 75% for males with prostate cancer. Describe both the

Type I and Type II errors in context.

State the null and alternative hypothesis.

H0:

Ha:

Type I error, the null hypothesis is true (in context):

Type II error, the null hypothesis is false (in context):

Which error is the more serious?

Math   Statistics-And-Probability   
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Answer #1

Solution:

The null and alternative hypotheses for the given test scenario is given as below:

Null hypothesis: H0: A cure rate for males with prostate cancer is at least 75%.

Alternative hypothesis: Ha: A cure rate for males with prostate cancer is less than 75%.

Type I error: For this test, the type I error occurred when we conclude that a cure rate for males with prostate cancer is less than 75%, however, in fact, the cure rate is at least 75% actually.

Type II error: For this test, the type II error occurred when we conclude that a cure rate for males with prostate cancer is at least 75%, however, in fact, the cure rate is less than 75% actually.

Type II error is the more serious.

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