Question

In: Statistics and Probability

You want to test a hypothesis about a proportion of individuals suffering from flu after using...

You want to test a hypothesis about a proportion of individuals suffering from flu after using two different types of vaccines. You suspect that the first vaccine works significantly better than the second. What tail should you use in setting up the statistical hypothesis test? (Assume that the probability of success p is the probability of staying healthy and not getting the flu).

Expert Solution

We want to test a hypothesis about a proportion of individuals suffering from flu after using two different types of vaccines.

You suspect that the first vaccine works significantly better than the second.

p is the probability of staying healthy and not getting the flu).

Here P1 proportion of people staying healthy after getting vaccine one

P2 proportion of people staying healthy after getting vaccine two

We suspect vaccine one significantly better than vaccine 2 then proportion of people stay healthy after getting vaccine 1 is more than vaccine 2

The hypothesis will be

Ho:- proportion of people staty healthy after taking vaccine one is same as for vaccine two

Vs

Ha :- proportion of people stay healthy after taking vaccine one is greater than that for vaccine two

I.e.

Ho:- P1 <= P2

Vs

Ha:- P1 > P2

I.e

Ho:- P1-P2 <= 0

Vs

Ha:- P1-P2 > 0

So here we have used the right tail.

orchestra answered 2 years ago

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