(Please provide a breakdown and describe/show step by step details on how you arrived the answers so I can learn - thanks)

QUESTION: Which of the PROBLEMS below (A-D) corresponds to the procedures (1-4) listed below? (Note: This is a form of matching question, i.e .which problem matches which procedure?)

Problems

A. Does the data validate the normal probability distribution assumption?

B. Data were gathered in an experiment comparing the effects of three pesticides in controlling a certain species of parasitic cockroaches. Each observation represents the number of such bugs found dead in a certain fixed area treated with a pesticide.

C. Do contingency table classification values matter?

D. A multinomial probability distribution describes the distribution of counts across multiple levels of a variable. A special case is the binomial discrete probability distribution. For each level of a variable, which is common to multiple populations, equality of distributions can be tested.

Procedures (which procedure corresponds to which problem above)

1. ANOVA

2. Chi-square test of homogeneity

3. Chi-square test of independence

4. Chi-square test of goodness of fit