Question

	Computer based Technology	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 are 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 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.

PE:23

5. Based on the results of the chi-square test of independence, is there a statistically significant relationship between gender and attitude toward

Answer 1

Ho: there a statistically significant relationship between gender and the instructional strategy preference

Ha: there is not statistically significant relationship between gender and the instructional strategy preference

	Observed Frequencies
	0
0	comp tech	video	lecture				Total
male	8	17	42				67
female	10	73	50				133
Total	18	90	92				200
	Expected frequency of a cell = sum of row*sum of column / total sum
	Expected Frequencies
	comp tech	video	lecture				Total
male	18*67/200=6.03	90*67/200=30.15	92*67/200=30.82				67
female	18*133/200=11.97	90*133/200=59.85	92*133/200=61.18				133
Total	18	90	92				200
	(fo-fe)^2/fe
male	0.644	5.735	4.056
female	0.324	2.889	2.043

2)

Chi-Square Test Statistic,χ² = Σ(fo-fe)^2/fe =   15.691
  
Number of Rows =   2
Number of Columns =   3
3)

Degrees of Freedom=(#row - 1)(#column -1) = (2- 1 ) * ( 3- 1 ) =   2
4)

Level of Significance =   0.05

5)

  
Critical Value =   5.991
Decision: test stat,X² > critical value , So, Reject the null hypothesis  

conclusion: there is not a statistically significant relationship between gender and the instructional strategy preference

6)

	comp tech	video	lecture
male	11.940%	25.373%	62.686%

there appear to be clear instructional preference among males and it is LECTURE

7)

	comp tech	video	lecture
female	7.5188%	54.887%	37.594%

there appear to be clear instructional preference among females and that is VIDEO

8)

preferred strategies identified by the males and females NOT SAME

9)

in males, instructional straegy is lecture (62.686)

while in females it is video(54.887)