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Math Help - Writing a null and alternate hypothesis

  1. #1
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    Question Writing a null and alternate hypothesis

    I am working on a confusing hypothesis test. The scenario is there is a new method to retread tires. The company wants to know if more than 85% of the tires have mileage lives above 30,000 miles.
    Here's some of the calculated data I have so far: xbar = 35201, s = 2615, n = 50. The instructions preset alpha at 0.05.

    How do I write this null and alternate hypothesis?

    mu is greater than ???
    mu is less than/equal to ???
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  2. #2
    MHF Contributor matheagle's Avatar
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    FROM .......xbar = 35201, s = 2615, n = 50 ............it seems that you want to prove

    H_a:\mu>30,000 where \mu is the expected life time of these tires.

    HOWEVER, the question seems to be about probabilities...

    Based on the english I would say >.85" alt="H_a>.85" />

    where p is the true poroprtion (probability) of tires that survive 30,000 miles.
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