Question

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?

Answer 1

a)

b)      What percent of female students took the advanced math class?

Ans: The percent of female students took the advanced math class is 22.5%

c)      What percent of female students did not take advanced math class when females were raised by just their father?

Ans: The percent of female students did not take advanced math class when females were raised by just their father is 100%.

d) Ans:

The chi-square value is 11.613 with p-value of 0.001. The result is that 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 at 0.05 level of significance.

e) Null hypothesis: The proportion of female high school students who take advanced math courses in high school varies does not depend upon whether they have been raised primarily by their father or by both their mother and their father.

Alternative Hypothesis: 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.

The result rejects the null hypothesis at 0.05 level of significance.