Homework SourseLilly collects data on a sample of 40 high school students t
Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and their father. Two variables are found below in the data file: math (0 = no advanced math and 1 = some advanced math) and Parent (1= primarily father and 2 = father and mother).
Parent Math
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
2.0 0.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
a) Conduct a crosstabs analysis to examine the proportion of female high school students who take advanced math courses is different for different levels of the parent variable.
b) What percent female students took advanced math class
c) What percent of female students did not take advanced math class when females were raised by just their father?
d) What are the Chi-square results? What are the expected and the observed results that were found? Are they results of the Chi-Square significant? What do the results mean?
e) What were your null and alternative hypotheses? Did the results lead you to reject or fail to reject the null and why?
Solution
First prepare table for observed frequency
Now set up hypotheses as
H0: There is no association between selecting adv math and parent
Ha: There is association
Two tailed chi square test
Prepare contingency table
The chi-square statistic is 12.8353. The p-value is .00034. The result is significant at p < .05.
i.e. there is association between parent and selecting adv maths. (rejecting null hypothesis)
| No Maths | Adv Maths | ||
| Father | 21 | 10 | 31 |
| Father & mother | 0 | 9 | 9 |
| 21 | 19 | 40 |
