Provide an Appropriate Response $\mathrm { H } _ { 0 }$

question 26

Essay

Provide an appropriate response.
-A pharmaceutical company has a new drug which relieves headaches. However, there is some indication that the drug may have the side effect of increasing blood pressure. Suppose the drug company conducts a hypothesis test to determine whether the medication raises blood pressure. The hypotheses are: $\mathrm { H } _ { 0 }$ : The drug does not increase blood pressure. $\mathrm { H } _ { \mathrm { a } }$ : The drug increases blood pressure. Do you think that for doctors and patients it is more important to have a small α probability or a small β probability? Why? Do you think that the pharmaceutical company would prefer to have a small α probability or a small β probability? Why?

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Definitions:

Verification Stage

The phase in a process where the authenticity, accuracy, or validity of something is established or confirmed.

Creative Problem Solving

An approach to finding innovative solutions to problems, characterized by the use of imagination and lateral thinking.

Initial Option

The first choice or course of action that is considered before any alternatives are explored.

Critically Analyze

The process of rigorously examining or evaluating something in detail, often to form a judgment or understanding.