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Math Help - Specify critical region, calculate the test stat?

  1. #1
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    Question Specify critical region, calculate the test stat?

    Ok the question says:
    Specify the critical region and calculate the test statistic based on data in the table below:
    Ho: \mu =75
    Ha: \mu < 75
    alpha = .05
    n = 64
     \bar{x} =72.7
    \sigma = 8.6

    Here is what I have come up with, I am really confused so I'm not even sure if it's relevant.

    z' = \bar{x} - \mu (all over) \sigma / square root n
    z' = -2.1395

    With z-test I found that p = .0162

    I'm not sure where to go from here or if I'm even heading in the right direction. Please and thank you for the help
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  2. #2
    MHF Contributor matheagle's Avatar
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    the test stat is correct
    next with your Ha and alpha the rejection region is (-\infty , -1.645).
    So, your test stat is in the RR and you should reject Ho and accept Ha.
    The p-value is P(Z<-2.13953884).
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  3. #3
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    Talking

    THANK YOU! I understand now
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