Question three John and his friend were recently having a heated discussion about the number of men living in a western parish who possibly cared for children that are not biologically theirs during...

Question three

John and his friend were recently having a heated discussion about the number of men living in a western parish who possibly cared for children that are not biologically theirs during 2019. Assume that a survey of the parish’s population revealed that the average number of cases and the standard deviation was 5,000 and 6000 in 2019, respectively. John and his friend do not believe that the population average is correct. Assume that a survey based on a sample of the 800 people was conducted and found that the average number of cases in the western parish was 10,000 over the 12 months period. Conduct a hypothesis test, using a 5% significance level to determine if the average number of cases is actually higher based on the sample data.