In Africa in 2011, the number of deaths of a female from cardiovascular disease for different age groups are in the table below. In addition, the proportion of deaths of females from all causes for the same age groups are also in the table:

AGE: 5-14 15-29 30-49 50-69 TOTAL

Cardiovascular Frequency 8 16 56 433 513

All Cause Proportion 0.10 0.12 0.26 0.52

Do the data show that the death from cardiovascular disease are in the same proportion as all deaths for the different age groups? Test at the 5% level.

1) Which of the following statements correctly defines the null hypothesis H0?

a. Deaths from cardiovascular disease in females are noting the same proportion as all the deaths for the different age groups?

b. Deaths from cardiovascular disease in females are in the same proportion as all deaths for the different age groups?

c. neither of these statements is correct for H0

2)Which of the following statements correctly defines the alternative hypothesis HA?

a. Deaths from cardiovascular disease in females are noting the same proportion as all the deaths for the different age groups?

b. Deaths from cardiovascular disease in females are in the same proportion as all deaths for the different age groups?

c. neither of these statements is correct for HA

3) Enter the level of significance x used for this test in decimal form (0.01, 0.02, etc.

4) Are any of the expected frequency values (for which H0 is true) for any cell in the table less than 5? Calculate the expected frequency using technology. Will this affect or validate the hypothesis test?