Question

According to the American Time Use Survey, the mean number of hours each day Americans age 15 and older spend eating and drinking is 1.22. A researcher wanted to know if Americans age 15 to 19 spent less time eating and drinking. After surveying 50 Americans age 15 to 19 and running the appropriate hypothesis test, she obtained a P-value of 0.0329.

1. State the null and alternative hypothesis this researcher used.
2. This is a ______ -tailed test since....(complete this sentence).
3. Interpret the P-value.
4. Determine and explain what a Type I error would be for this situation. What level of severity is this for this context?
5. According to the same survey, people aged 25 - 54, employed with children spend 1 hour per day eating / drinking. Does this seem accurate for you (depending on your age)?

I will really be appreciated it if you write the answer under the question

Thanks & best regards.

Answer 1

State the null and alternative hypothesis this researcher used.

H0: mu = 1.22
Ha: mu < 1.22

This is a left-tailed test since alternate hypothesis has < sign

Interpret the P-value.
p-value = 0.0329
Here p-value means the probability of getting the mean time equals to or less than sample of 50 americans.

Determine and explain what a Type I error would be for this situation. What level of severity is this for this context?

type I error occurs when one incorrectly rejects the null hypothesis.
In this case if we conclude that the mean time required is less than 1.22 however in reality it is equal to 1.22.

According to the same survey, people aged 25 - 54, employed with children spend 1 hour per day eating / drinking. Does this seem accurate for you (depending on your age)?
No, as there is no information available for the people of age 25-54