In a random sample of 1500 television sets from a well-known supplier, there were 80 defective sets. In a random sample of 800 television sets from a smaller supplier, there were 10 defective sets. Setting = 0.05, do these data provide sufficient evidence to establish that the proportion of defective sets from the first/larger supplier exceeds the proportion of defective sets from the second supplier?

a)State an appropriate null and alternative hypothesis for this problem.

b)Identify the critical values, and sketch the rejection region.

c)Calculate the value of the test statistic.

d)On the basis of your answers to b) and c) above, do you reject the null, or fail to reject it?

e)Interpret your results within the context of this problem. f)Calculate and interpret the p-value for this problem.