• Calculatetheage-adjustedrateofosteoporosisinTuscanyandNaplesusingthedirectmethodanddatainTable6.

Table 6. Osteoporosis in Tuscany and Naples

Age Standard Pop. Tuscany pop. Tuscany rate per 1000 Naples Pop. Naples rate per 1000

0-50 800,000 600,000 80 400,000 10

50+ 600,000 500,000 160 700,000 25

• Calculatetheprobabilityofsurviving5yearsusingthedatafromTable8.

Table 8. Probability of Survival for Each Year of the Study

P1 = 42.5%

P2= 36.1%

P3 = 55.5%

P4= 69.6%

P5 = 80.0%

P6 = 95%

P7 = 98%

• Calculate the power of a study given that the probability of a type I error is 0.05 and the probability of type II error is 0.90.