Question 2

a) List two types of chi-square test and explain the difference between both tests.

b) How do you find a chi-square value in the left tail of the distribution?

c) What is the parameter of a chi-square test?

d) Consider the following contingency table, which records the results obtained for four samples of fixed sizes selected from four populations.  

i. Write the null and alternative hypotheses for a test of independence for this table.

ii. Calculate the expected frequencies for all cells assuming that the null hypothesis is true.

iii. For alpha = .05, find the critical value of X2. Show the rejection and non-rejection regions on the chi-square distribution curve.

iv. Find the value of the test statistic X2.

v. Using alpha = .05, would you reject the null hypothesis?