Six hundred and five survivors of a heart attack, were randomly assigned to follow either

(1) a diet close to the "prudent diet step 1" of the American Heart Association or

(2) a Mediterranean-type diet consisting of more bread and cereals, more fresh fruit and vegetables, more grains, more fish, fewer delicatessen food, less meat.

Over four years, researchers collected information on number of deaths from cardiovascular causes e.g., heart attack and strokes. Of the 303 survivors who followed the AHA diet 24 died of cardiovascular disease. Of the 302 survivors who followed the Mediterranean diet, 14 died of cardiovascular disease. Is there a significant difference in the proportion of patients who die of cardiovascular disease across the two diet plans? Run the test at a 5% level of significance.

1) Write out the appropriate null hypothesis and the alternative hypothesis;

2) Calculate the test statistic (show your work);

3) Give your conclusion including a comparison to alpha or the critical value.

**Subject Mathematics Advanced Statistics**