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Chapter 9: Q. 68 (page 541)

When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA)to market the drug. Suppose the null hypothesis is "the drug is unsafe." What is the TypeIIError?

a.To conclude the drug is safe when in, fact, it is unsafe.

b.Not to conclude the drug is safe when, in fact, it is safe.

c.To conclude the drug is safe when, in fact, it is safe.

d.Not to conclude the drug is unsafe when, in fact, it is unsafe.

Short Answer

Expert verified

TypeIerror for the drug is safe: One thinks the drug is safe when, in fact, it really is not.

TypeIIerror for the drug is not safe: One thinks the drug is not safe when, in fact, it really is.

Step by step solution

01

Introduction

Statistics main purpose is to verify or disprove a notion.

For example, you might conduct research and discover that a particular medicine is useful in the treatment of headaches.

No one will believe your findings if you can't repeat the experiment.

In statistical hypothesis testing, a type I error occurs when a null hypothesis is rejected when it is true.

The type II error arises when the null hypothesis is accepted even when it is false.

02

Explanation 

  • Rejecting the null hypothesis H0when it is true is defined as a TypeIerror.

If the H0is "The drug is unsafe", than TypeIerror is:

  • One thinks the drug is safe when, in fact, it really is not.
  • Failing to reject the null hypothesis when it is false is defined as a role="math" localid="1650038358356" TypeIIerror.

Therefore TypeIIerror is:

  • One thinks the drug is not safe, when, in fact, it really is.

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