Problem 5.

In Africa in 2011, the number of deaths of a female fromcardiovascular diseasefor different age groups are in the table below. Also, the proportion of deaths of females fromall causesfor the same age groups are in the table.

Set up and run a test of hypothesis to determine ifdeaths from cardiovascular disease are in the same proportion as all deaths for the different age groups.Use a level of significance of 5%.Specifically, do the following:

(i)Write down the null and alternative hypotheses.

(ii)Verify that the assumptions necessary to apply the test are satisfied.

(iii)What is the test statistic and what is the p-value?

(iv)State your conclusion

Table: Deaths of Females for Different Age Groups Cardiovascular A\" Cause Proportion Frequency