Numerical Analysis Assignment

A speaker who advises managers on how to avoid being unionized claims that only 25% of industrial workers favor union membership, 40% are indifferent, and 35% are opposed. In addition the advisor claims that these opinions are independent of actual union membership. A random sample of 600 industrial workers yields the following data:

What do you think of the speaker’s claims?

For this you should:

i)  Test to see whether or not his claim of 25%, 40% and 35% is correct.

ii)  Test the hypothesis of independence.

iii) Calculate percentages of workers in favor of unionization, indifferent, and opposed; separately for members and for non-members. Do the percentages suggest that there is a strong relation between membership and opinion?

iv) Construct confidence intervals for the percentages in part iii) and interpret them.