5.The table below shows the difference between the current "uncontrolled" average gender pay gap against a "controlled" average gender pay gap, which controls for job title, years of experience, education, industry, location, and other factors. These comparisons are against the average $1.00 earned by white men.³

Uncontrolled Pay Gap	Controlled Pay Gap
Asian women$0.97	$1.02
Native Hawaiian and other Pacific $0.75 Islander women	$1
American Indian and Alaska Native $0.70 women	$0.98
White women$0.82	$1
Hispanic and Latinx women$0.77	$0.98
Black and African American women$0.78	$0.98

a.Conduct a hypothesis test at the 1% significance level to test the claim that theaverage difference in the pay gap decreaseswhen controlled.

b.Construct a confidence interval appropriate for the hypothesis test in part (a). Do the results support your findings in part (a)? Explain your thinking.