Please answer the Question:

QUESTION 3 (10 MARKS) A local authority is going to study the relationship between the size of household and the daily plastic usage consumed by them. The results of a sampling given below in Table 5 indicate some values of X (weight of plastic usage) and Y(the size of household). Table 5: Weight of plastic usage (X) and size ofhousehold (Y) -IIII---IEI Y2 3 3 6 4 2 1 5 i) From the above sampling, nd the value of correlation coefcient r. ii) Using the same sample data set above, conduct the hypothesis testing to know whether the variable X and Fare really correlates using 95% condence level. iii) Find out if the decision in (ii) may change if you increase the condence level to 99%