## The owner of Get-A-Away Travel has recently surveyed a random sample of 337 customers to determine whether the mean age of the agency’s cu

Question

The owner of Get-A-Away Travel has recently surveyed a random sample of 337 customers to determine whether the mean age of the agency’s customers is over 20. The appropriate hypotheses are Upper H 0: muequals20, Upper H Subscript a Baseline : mu greater than 20. If he concludes the mean age is over 20 when it is not, he makes a __________ error. If he concludes the mean age is not over 20 when it is, he makes a __________ error.

in progress
0

Math
3 months
2022-02-02T10:00:54+00:00
2022-02-02T10:00:54+00:00 1 Answer
0 views
0
## Answers ( )

Answer:On this case we want to test if the mean age of the agency’s customers is over 20, so the system of hypothesis would be:

Null hypothesis: [tex]\mu \leq 20[/tex]

Alternative hypothesis: [tex]\mu >20[/tex]

If he concludes the mean age is over 20 when it is not, he makes a

type I error. If he concludes the mean age is not over 20 when it is, he makes aType II errorerror.Step-by-step explanation:Previous conceptsA

hypothesisis 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 hypothesisis 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 hypothesisis “just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove”.Type I error, also known as a “false positive” is the error of rejecting a null hypothesis when it is actually true. Can be interpreted as the error of no reject an alternative hypothesis when the results can be attributed not to the reality.Type II error, also known as a “false negative” is the error of not rejecting a null hypothesis when the alternative hypothesis is the true. Can be interpreted as the error of failing to accept an alternative hypothesis when we don’t have enough statistical power.Solution to the problemOn this case we want to test if the mean age of the agency’s customers is over 20, so the system of hypothesis would be:

Null hypothesis: [tex]\mu \leq 20[/tex]

Alternative hypothesis: [tex]\mu >20[/tex]

If he concludes the mean age is over 20 when it is not, he makes a

type I error. If he concludes the mean age is not over 20 when it is, he makes aType II errorerror.