Hello, could you please help me out I am stuck. Thank you

3.In one of the largest and most famous public health experiments ever conducted, in 1954 a randomized controlled trial was run to see whether a vaccine developed by a doctor named Jonas Salk was effective in preventing paralytic polio. A total of 201, 974 children, chosen to be representative of those who might be susceptible to the disease, were randomized to two groups: 100,745 children where injected with a harmless saline solution and the other 101,229 children were injected with Salk's vaccine.

(a)What was the point of giving saline solution to the children who didn't get the vaccine?

(b)The results of the trial were as follows: 33 of the 101,229 children who got the vaccine later developed paralytic polio, whereas 115 of the other 100,745 children developed paralytic polio. Perform an appropriate statistical hypothesis test for these data to draw conclusions about the effectiveness of the Salk vaccine.

(c)Describe in context what the Type I and Type II errors are in for this scenario (do not perform any computations). What would you argue is the more detrimental error to commit?

(d) Assess the assumptions needed to perform your statistical hypothesis test in (b). few sentences commenting on the validity of your conclusions in (b) in terms of these assumptions and sample size.