Use the Crosstabs option in the Descriptives menu to answer the questions based on the following scenario. (Be sure to select Chi-square from the Statistics submenu and Observed, Expected, Row, and Column in the Cells submenu. Assume a level of significance of .05) You are interested in determining the existence of a significant interaction between three Preferred Instructional Strategies and Gender. Two hundred students from three introductory psychology classes were asked about their preferred instructional strategy. The results are shown below:
Computer Based Tech. | Video | Lecture | |
Male | 8 | 17 | 42 |
Female | 10 | 73 | 50 |
1. Write an appropriate null hypothesis for this analysis.
2. What is the value of the chi-square statistic?
3. What are the reported degrees of freedom?
4. What is the reported level of significance?
5. Based on the results of the chi- square test of independence,
was there a statistically significant relationship between gender
and the instructional strategy preference?
6. Based on the percentages within gender does there appear to be a
clear instructional preference among males? If so, what strategy is
preferred?
7. Based on the percentages within gender does there appear to be a
clear instructional preference among females? If so, what strategy
is preferred?
8. Were the preferred strategies identified by the males and
females the same?
9. Report and interpret your findings as they might appear in an
article.
1. Write an appropriate null hypothesis for this analysis.
There is no relationship between gender and the instructional strategy preference
Solution2:
O | E | 0-E | (0-E)^2 | (O-E)^2/E |
8 | 6.03 | 1.97 | 3.8809 | 0.643599 |
17 | 30.15 | -13.15 | 172.9225 | 5.735406 |
42 | 30.82 | 11.18 | 124.9924 | 4.055561 |
10 | 11.97 | -1.97 | 3.8809 | 0.324219 |
73 | 59.85 | 13.15 | 172.9225 | 2.889265 |
50 | 61.18 | -11.18 | 124.9924 | 2.043027 |
CHI SQ | 15.69108 |
CHI SQ=15.69
3. What are the reported degrees of freedom?
df=(r-1)(c-1)
r--rows
c---colums
df=(2-1)(3-1)
=1*2
=2
df=2
degrees of freedom=2
4. What is the reported level of significance?
alpha=0.05=5%
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