Question

A normality test (Anderson-Darling) is run on a dataset to see if it can be assumed...

  1. A normality test (Anderson-Darling) is run on a dataset to see if it can be assumed to follow a normal distribution.
    1. What are the null and the alternate hypothesis, respectively? Give the specific wording for each hypothesis for a normality test, not for a generic hypothesis test.
    1. What can you conclude if the p-value of the test is 0.02? (What is the conclusion on the hypothesis? what can you say about the data?)
    1. What can you conclude if the p-value of the test is 0.24? (What is the conclusion on the hypothesis? what can you say about the data?)
    1. If the data is normal, what would you expect a normal probability plot of the dataset to look like? You can draw a chart if you like.
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Answer #1

Normal Probability Plot for Forearm Length (AD+ = 0.2383, p=0.782) z Value 17 18 19 20 21 22Null hyo : sample data follows normal distribution.

Vs

Aly hyp: normal distribution is not a good fit for the data

The p value of 0.02 indicates that Ho is rejected. The data does not follow normal distribution

p value of 24 indicates that Ho is not rejected. Hence we can say data follows normal distribution

The data following normal distribution shows fgraph pasted in the beginning.

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