1. If we had made an error when determining if my students were on average taller...

1. If we had made an error when determining if my students were on average taller than I am, which type would it have been? Write out in words, in context, what making such an error would mean.

3. Hypothesis Test A had a P-value of 0.0034. Hypothesis Test B had a P-value of 0.034. Which test showed stronger evidence against its null hypothesis, Test A or Test B?

4. What is the smallest significance level at which you would reject the null hypothesis in a P-value approach hypothesis test?

5. True/False? If the alternative hypothesis was “the population mean is greater than 10”, then we would reject the null hypothesis when the P-value is greater than the significance level (alpha).

Expert Solution

1.In the situation for coming to a conclusion about tall or short a relative concept, arithmentic mean is not appropriate. Here we must use median test becuase arithmetic mean is influenced by extreme values . So, by getting error we increase chance of type 1 error.

3.Hypothesis Test A had a P-value of 0.0034. Hypothesis Test B had a P-value of 0.034. Both values are less than prescribed value 0.05. But more small the p-value, more stronger evidence against null hypothesis. So, Hypothesis A showed stronger evidence against its null hypothesis.

4The convention in most research is to use a significance level of 0.05. This means that if the P value is less than 0.05, you reject the null hypothesis; if P is greater than or equal to 0.05, you don't reject the null hypothesis

5.False. p-value greater than 0.05 leads to accept null hypothesis.

orchestra answered 2 years ago

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