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The Shapiro-Wilk test is specifically designed to test the hypothesis. H0: Y has a normal distribution...

The Shapiro-Wilk test is specifically designed to test the hypothesis. H0: Y has a normal distribution versus H1: Y does not have a normal distribution. Jessie obtains a normal sample of size n = 400 for Y = smoothness of a 3-D printed surface. Her choice for alpha is 0.025 and the Shapiro-Wilk test gives her p-value = 0.023. Which (one) of the following should she do?

1. Reject the alternative hypothesis because it has only a 2.3% chance of being correct.

2. Conclude that Y has a normal distribution because n is quite large

3. Conclude there is a 2.3% chance that Y has a normal distribution.

4. Change alpha to 0.01 so that she can accept the null hypothesis

5. Conclude that Y does not have a normal distribution

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Answer #1

P-value is less than alpha so, Reject Ho. It means we can conclude that

Y does not have a normal distribution

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5.Conclude that Y does not have a normal distribution

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