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Thread: Hypothesis Testing again

  1. #1
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    Hypothesis Testing again

    All UC faculty are required to take a mandatory 2 hour sexual violence and sexual harassment prevention training course every two years. Suppose that when asked to rate the effectiveness of the course on a scale fro 1 to 10, with 10 corresponding to highly effective and 1 corresponding to not at all effective, the average rating for the course from all faculty last year was 6.4. This year the UC pilots a new training course by administering it to a random sample of 100 faculty, and the average rating for this course was 7.2 with a standard deviation of .9. Based on this sample, test the hypothesis that the new course is more effective than the old course. What is the p-value for this test and what does it mean?

    This is the exact problem my friend asked me, once again there is no significance level to test against, so what does the p-value even mean? And how do I get the p-value? Sorry this irritates me because my stat is quite rusty. Much help will be appreciated.
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  2. #2
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    Re: Hypothesis Testing again

    I actually solved it like this:

    since the $z$ value is $8.88888...$ after we plug in the mean sample mean, sd and sample size. So we find that this value is greater than $1.645$ which is at the $\alpha = 0.05$ significance level (if we assume this is the point we want to test). Hence we reject the null hypothesis of $H_0 : \mu \le 6.4$. (my statistics is really bad)
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