Question

Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematical notation, and clearly identify the claim and type of testing.

Answer 1

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0):
`\mu \geq 2000`

Alternative hypothesis (H1):
`\mu <2000`

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0):
`\mu \geq 2000`

Alternative hypothesis (H1):
`\mu <2000`

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no