Question

Past flu cases in the Remulak school system `(n = 500)` were 15 per week. For the entire state, the weekly average was 16 and the standard deviation was 15.1. Are the kids in Remulak as sick as kids throughout the state?

Answer 1

Yes.

Explanation:

Since n is large (500) and we have the state data representing the population statistics, using a z-test should be acceptable.

Since we are not talking about a life-threatening event, using an `alpha = 0.05` seems reasonable.

`H_0: mu=16`
`H_a: mune16` [two-tailed z-test]

z-statistic `=(15-16)/(15.1/sqrt500)=-1.48`

p-value `=2xxP(z <-1.48)=0.1389`

Since the p-value is greater than 0.05 , do not reject the null hypothesis. There is insufficient evidence that Remulak school system is different from state flu average.