Alarge company is being sued for gender discrimination because 20% of newly hired candidates are women when 40% of all applicants were women. you plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory.

part a: state the null and alternative hypotheses for the significance test.

part b: in the context of the problem, what would a type i error be? a type ii error?

part c: if the hypothesis is tested at a 1% level of significance instead of 5%, how will this affect the power of the test?

part d: if the hypothesis is tested based on the hiring of 1,000 employees rather than 100 employees, how will this affect the power of the test?