Question

You want know whether virginia adult between the ages of 22 and 50 avergae more than 12 days at the beach per year. You take a sample of enough Virginia adults of the right age and get a p-value pf .5505.

a. Does the evidence you collected support the claim that Virginia adults between the ages 22 and 50 average more than 12 days at the beach per year? Why or why not?

b. Given a hyptohesis (not necessarily the one above) for which you reject Ho can you say that Ha is true? Explain?

Answer 1

a) Here we are testing whether the mean is more than 12, therefore the null and the alternate hypothesis here would be given as:

As the p-value here is very high, therefore the test is not significant and we cannot reject the null hypothesis here. Therefore we dont have sufficient evidence here that virginia adult between the ages of 22 and 50 avergae more than 12 days at the beach per year

b) Given a hypothesis where we reject the null hypothesis, it does not necessarily mean that the alternate hypothesis is true, it only gives us sufficient evidence at some level of significance ( at which test is done ) that the alternate hypothesis would be true. Therefore we would be able to conclude that the alternate hypothesis is true only with some cnfidence level but not 100%