3.) In a 2020 survey of 600 motorcyclists, 404 wear a helmet. In another survey 500 motorcyclists taken a year earlier, 317 wore a helmet. Use a 0.05 significance level to test the claim that the proportion of motorcyclists who wear a helmet was greater in 2020. 4) The ages of randomly selected cars and taxis in Dublin Ireland is given below. Use a 0.05 significance level to test the claim that the mean age of cars is greater than the mean age of taxis. Cars 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 Taxis 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 3 4 3

5) The number of hospital admissions from car accidents on Friday the 6th and Friday the 13th of the same month were randomly selected from hospital databases. Use a 0.05 significance level to test the claim that the number of admissions from car accidents is the same for Friday the 6th and Friday the 13th of the same month. Friday the 6th 9 6 11 11 3 5 8 Friday the 13th 13 12 14 10 4 12 9