In a recent survey, it was stated that Americans watch television on average four hours per day. Assuming that σ = 2 and using your class as the sample, conduct a hypothesis test to determine if the average for students at your school is lower. (n=45) DATA TO USE: class average is 1.4375.
Check my work please.

Question

In a recent survey, it was stated that Americans watch television on average four hours per day.  Assuming that σ = 2 and using your class as the sample, conduct a hypothesis test to determine if the average for students at your school is lower. (n=45) DATA TO USE: class average is 1.4375.
Check my work please.

anonymous · Answer

So first I have to find hypotheses...so this is what I came up with: Ho: μ≥4	    Ha: μ<4

anonymous · Answer

Distribution to use for the test:  N (4 , .2981)

anonymous · Answer

It also asks whether I have to use z or t, so I used z, where z=-8.5949.

anonymous · Answer

p-value=0?

australopithecus · Answer

wow that is a lot of television

anonymous · Answer

What does the p value mean for this problem?

dumbcow · Answer

@anneflys
you did this correctly, the p-value here is very, very small, almost 0
the p-value is the area under normal curve less than -8.59 standard deviations away from mean
the smaller the p-value , the more likely the alternate hypothesis is true
the standard significance level is 0.05, if p <.05 then reject Null hypothesis

therefore in this problem since p is essentially 0, you can conclude that school average is less than 4 hours per day