Question

: There are 218 first-graders in an elementary school. Of these first graders, 86 are boys and 132 are girls. School wide, there are 753 boys and 1063 girls. • Instructions: The principal would like to know if the gender ratio in first grade reflects the gender ratio school wide What are the degrees of freedom (df)?

Complete this table in SPSS and paste the output below to replace it:

men	women
no. observed no expected	no. observed no expected

Calculate χ² in SPSS and paste the output below.

e. Can you reject the null hypothesis at α = .05? Explain why or why not

Answer 1

Solution:

What are the degrees of freedom (df)?

Answer: Degrees of freedom = (row -1) * (column -1) = (2-1) * (2-1) = 1

Observed Data:

	First graders	School	Total
Boys	86	753	839
Girls	132	1063	1195
Total	218	1816	2034

Expected Data:

	First graders	School	Total
Boys	89.92	749.08	839
Girls	128.08	1066.92	1195
Total	218	1816	2034

e. Can you reject the null hypothesis at α = .05? Explain why or why not

We fail to reject the null hypothesis because the p-value is 0.568, which is greater than the significance level 0.05