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statistics

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What is the correct methodology for defining null and alternative hypothesis? Give an example

  • statistics - ,

    Below are examples for a one-sample test. For more than one sample, the hypotheses are set up a bit differently but the fundamentals are the same.

    Options for the null (one-sample):

    Ho: µ = ? -->meaning: population mean is equal to some value.
    Or...
    Ho: µ ≤ ? -->meaning: population mean is less than or equal to some value.
    Or...
    Ho: µ ≥ ? -->meaning: population mean is greater than or equal to some value.

    The null hypothesis ALWAYS uses an equals sign.

    Options for the alternative (one-sample):

    Ha: µ < ? -->meaning: population mean is less than some value
    Or...
    Ha: µ > ? -->meaning: population mean is greater than some value

    Note: I am using a question mark in place of a specific value. Usually you will know what the value is depending on the information given in a problem.

    I hope this will help and is what you were asking.

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