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Thread: Hypothesis testing statistics

  1. #1
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    Hypothesis testing statistics

    Hello everyone,

    I am having difficulty understanding hypothesis testing.
    I know the 5 steps of completing the test but cannot seem to calculate the correct numbers. For example, here is an exercise my professor provided in class.

    A friend makes a claim that municipalities in Pennsylvania start law enforcement officers at $42,000 a year. You decide that they are wrong- you think that Pennsylvania starting law enforcement officers have a different average salary than what your friend says. To test this, you gather salay information for 15 municipalities and obtain the following statistics:
    Mean Salary is 39,780

    Standard Deviation is 2,500
    Perform a hypothesis test to determine if your sample is truly different than the population mean. Use alpha level. 05

    What I have so far is my null hypothesis is = 42000
    My alternative hypothesis is less than 42000.
    Does this make sense? If not please advise

    Second, I know the alpha level is .05 meaning the critical value is 2.145 and I know this because this test is 2 tailed and it is a t table I would use because there are 15 municipalities and any number under 50 is using a T table. From here I am lost. Where in the formula do I plug in the critical value?

    Thank you for helping !
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  2. #2
    MHF Contributor
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    Re: Hypothesis testing statistics

    Hey Asuk1234.

    For a null hypothesis you are looking at a probability that one hypothesis is true given the data. The second applies equally.

    Usually what you do is you get a range of values for the hypothesis and get a test statistic that is used to get the probability that the hypothesis is true given the data that is used to get the test statistic in the first place.

    Hint - Can you figure out the test statistic and probabilities for both hypotheses?
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