Question

What is the purpose of hypothesis testing? Do you see any relevance to hypothesis testing in your daily life? This could be school life, personal life, or work life. Start with work life and give us a description of 2–3 scenarios where hypothesis testing may be beneficial for decision-making.

Answer 1

Answer:

A hypothesis testevaluates two mutually exclusive statements about a population to determine which statement is best supported by the sample data.

The purpose of hypothesis testing is to make a decision in the face of uncertainty. We do not have a fool-proof method for doing this: Errors can be made. Specifically, two kinds of errors can be made: Type I Error: We decide to reject the null hypothesis when it is true.

example of hypothesis testing example 1 :
As you wake up..Panic! What time is it?

Hypothesis (H0): It’s time to get up

Experiment: Carefully open left eye

Data: It’s dark.

Analysis: p-value = P( it’s dark | it’s at least 7am) < 0.05. Would be 0 but small possibility face is still in pillow or world has ended.

Conclusion: Reject H0

Decision: Go back to sleep.

example 2

The school principal wants to test if it is true what teachers say – that high school juniors use the computer an average 3.2 hours a day. What are our null and alternative hypotheses?

h0 : µ = 3.2 Ha : µ1\neq 3.2 Our null hypothesis states that the population has a mean equal to 3.2 hours. Our alternative hypothesis states that the population has a mean that differs from 3.2 hours.

example 3:

We have a medicine that is being manufactured and each pill is supposed to have 14 milligrams of the active ingredient. What are our null and alternative hypotheses?

H0 : µ = 14 Ha : µ1\neq14 Our null hypothesis states that the population has a mean equal to 14 milligrams. Our alternative hypothesis states that the population has a mean that is different than 14 milligrams.