Explain what you understand by the following: i) Point estimate ii) Sampling Distribution iii) Central Limit Theorem (8 marks) A particular city has a 10% unemployment rate. A monthly survey of 400 individuals is conducted to monitor the unemployment rate. What is the probability that a sample proportion of at least 8% will be observed? (8 marks) The following table shows the results of a recent survey on unemployment in the city separated by gender: Sample Size Number of registered Unem 10 ed Male 40 Female 72 i) What is the best point estimate of the difference between the two proportions? ii) Construct a 90% confidence interval estimate for the difference between the proportion of unemployed for male and female and interpret your ndings