I want to know if my system is functional or not base on 30 trials. so what i did is, I have 1 group with 30 trials. the variable for the group is categorical success or fail. for 30 trials, the system has 30 successes.
how to do the hypothesis testing? i feel like im very wrong.
can i say this? using binomial testing.
null hypothesis : the probability of success is 1 which means that the system is functional
alternative hypothesis : the probability of success is not 1 which means that the system is not functional
using 5% significance level i can say that the critical value with n=30 is equal to 30*.05=1.5. calculating the number of trials in which the system fails= 0 fails. with these values 1.5 and 0, 0<1.5. therefore i conclude that the null hypothesis is accepted and the alternative hypothesis is rejected.