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Statistics: Rejecting a Null Hypothesis

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Consider the following hypothesis test: H0: mean greater than or equal to 5 vs. H1: mean < 5. Suppose that you take a sample and conduct the test. You conclude that you can reject the null hypothesis.

What can you say about the results of the hypothesis test: H0: mean = 5 vs. H1: mean not equal to 5 tested using the same sample at the same level of significance?

Questions:

a. reject H0 in the second test

b. do not reject H0 in the second test

c. need more information

d. reject H0 in the second test if p-value > .05, do not reject H0 if p-value < .05.

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Solution Preview

First, I will choose c. need more information.

Let me discuss each choice one by one.

First, from the given information in the first test, we have known that we would reject the null hypothesis and conclude that mean is less than 5.

So for choice a, we still can not say that we would reject H0 in the second test. The reason is that the alternative hypothesis is ...

Solution Summary

The solution gives a detailed discussion on the logical relationship between rejecting and not rejecting a null hypothesis in the statistical test.

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Statistics and Hypothesis Testing

I need help understanding the results. I can't interpret the results and their differences. I attached the whole project so you can see what I am talking about.

Results Section :
a. The data should be explained in narrative form including what (of importance) was or was not statistically significant.

c. Address the hypotheses and whether or not they are accepted or rejected. Use .05 as the alpha (level of significance).

Discussion
a. You need to interpret the statistical findings, not just what they are, but what they mean. You must synthesize and explain.
b. What is the clinical significance of the findings and are they important.
c. What are the strengths and limitations of the study?
d. What suggestions do you have for further research?

Conclusion
a. Briefly summarize the purpose and findings
b. Briefly restate the meaning of the results for practice.

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