At a clover city council meeting, a plan to fund more sign language programs was presented. the reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. if this is true, the council will agree to fund more programs for these parents. the council decides to take a 175-person volunteer sample of parents in clover city that have children with auditory issues and conduct a significance test for h0: p = 0.25 and ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. they will perform the significance test at a significance level of ? = 0.05 for the hypotheses.

part a: describe a type ii error that could occur. what impact could this error have on the situation?

part b: out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. what can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses?

part c: what possible defect in the study can you find in part b? explain