A study was conducted on 100 children people some of whom had a Bachelor's Degree and some of whom did not. The individuals' Salaries in their jobs was categorized as high or low. Do the results support the claim that Degree attainment and Salary are dependent? The rows represent Bachelor's Degree and the columns represent Salary Level.
Salary Level
Low (L) High (H)
Bachelor's Yes (Y) 6 24 30
Degree No (N) 56 16 70
60 40 100
a) Give the hypotheses for the test using independence language.
b) What is the E(Y L)? That is the expected value of yes had a Bachelor's Degree and Low Salary Level.
c) What is the observed value for Y L?
d) Calculate the contribution to the test statistic for Y L.
e) Write out the steps for calculating the test statistic that includes only the "raw" values for for Y L, N L, and N H. Finish the "computation setup" with the test statistic's. which is .
f) What are the degrees of freedom for the test statistic? Show the work computing it and the value.
g) Write the p-value for the test statistic using the correct notation.
h) Test the claim using the p-value in g) at the 1% significance level. Show the comparison correctly in g) and state your decision.
i) Write the conclusion using the 3 part form Professor Butterworth insists upon.