Question

To test the following statement:

After installation of new working procedures, the average waiting time for an appointment at UAB Children’s hospital has decreased from 23 minutes.
1. Your null hypothesis (H0) is set up as (denote μ to be the population mean of waiting time for an appointment at UAB Children's hospital) _______.
a. μ = 23
b. μ =/ 23
c. μ < 23
d. μ > 23
e. μ<_ 23
f. μ >_ 23

Answer 1

For this case we are trying to proof that the average waiting time for an appointment at UAB Children’s hospital has decreased from 23 minutes ( and that needs to be on the alternative hypothesis) and the complement on the null hypothesis, so the system of hypothesis are:

Null Hypothesis:
`\mu \geq 23`

Alternative hypothesis:
`\mu <23`

The best answer for this case would be:

f. μ >_ 23

Explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we are trying to proof that the average waiting time for an appointment at UAB Children’s hospital has decreased from 23 minutes ( and that needs to be on the alternative hypothesis) and the complement on the null hypothesis, so the system of hypothesis are:

Null Hypothesis:
`\mu \geq 23`

Alternative hypothesis:
`\mu <23`

The best answer for this case would be:

f. μ >_ 23