QUESTION 1 

(a) An article regarding a survey of drivers admit to having done something dangerous while driving reported the results of 1100 drivers. Of those surveyed, 990 admitted to careless or aggressive driving during the previous 6 months. Assuming that it is reasonable to regard this sample as representative of the population of drivers. 

(i) Calculate a point estimate of the population proportion, p. 

(ii) Construct a 99% confidence interval to estimate p, the proportion of all drivers who have engaged in careless or aggressive driving the previous 6 months.

(b) The data were collected in the men\'s 100-meter run of 16 secondary school students, and the mean 18.6 second and standard deviation 9.486 second were recorded. Find the mean time of 80% confidence interval?