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Suppose that your research yields the following confidence interval:
----------------30----------------- 31--------------32--------------- 34---------------
Since the reference value is outside the confidence interval, we reject the
null hypothesis and accept the research hypothesis.
The three rules for stating the conclusion would be:
Rule #1: We must include the word “significantly” since the reference value of
34 is outside the confidence interval.
Rule #2:
The key terms would be:
– Honda Accord Sedan
– significantly
– either “more than” or “less than”
– and probably closer to
Rule #3:
The Honda Accord Sedan got significantly less than 34 mpg, and it was
probably closer to 31 mpg.
Note that this conclusion says that the mpg was less than 34 mpg because the
sample mean was only 31 mpg. Note, also, that when you find a significant result by
rejecting the null hypothesis, it is not sufficient to say only: “significantly less than
34 mpg , because that does not tell the reader “how much less than 34 mpg” the
sample mean was from 34 mpg. To make the conclusion clear, you need to add:
“probably closer to 31 mpg” since the sample mean was only 31 mpg.
CASE #2:
The National Association of Biology Teachers (NABT) is an
American-based scholarly Life Sciences society with more than
5,000 members. The NABT hosts an annual Professional
Development Conference for four days that focuses on the teaching of biology
and the life sciences in the 21 st century. The conference includes
hands-on workshops and informative sessions for participants.
Suppose that the NABT wanted to use an Internet Survey to evaluate the
annual conference based on responses from the participants. Let’s
suppose that you have been asked to perform the data analyses for
the returned surveys, and that you want to practice your data analysis
skills on the hypothetical Item #15 given in Fig. 3.8 :
The hypotheses for this one item would be:
H 0 :
H 1 :
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