A certain town is clustered around the town's largest employer, a paper mill. A researcher notices a large number of children with asthma and suspects the proportion of children with asthma in this town may be larger than the nationwide proportion of 7%. (a) (2 pts) Write the null and alternative hypotheses. (b) (3 pts) Suppose the researcher committed a Type I error. What did the researcher conclude and what was the reality regarding children with asthma? (c) (3 pts) Suppose the researcher committed a Type II error instead. What did the researcher conclude and what was the reality regarding children with asthma?