Question 17 1.5 p A policymaker assumes that it is better if mothers of young children are not employed because employment is seen as competing with notions of good mothering. However, African American women have a long history of working for pay, and earning income is often a central part of mothering among black women. This illustrates the issue of intersectionality because black women's daily experiences are often not captured by white masculine understandings of the world. the gender wage gap is much larger between black women and men than between white women and men. white mothers are the only ones who struggle with work-family conflict. women are very focused on the quality of their mothering, regardless of race- ethnicity 1. (15 pts) The National Assessment of Educational Progress tested two simple random samples of 1001 thirteen years old and 1008 thirteen years old students in both 2004 and 2008 (two separate simple random samples). The average and standard deviation in 2004 were 257 and 39. In 2008, the average and standard deviation were 260 and 38, respectively. a) Test the hypothesis that the averages tests scores were the same in 2004 and 2008. (hint: you must figure out if it is a match pairs t-procedure or a 2 sample t-procedure, calculate the test statistic and the degrees of freedom and check/state the conditions). b) Calculate a 95% confidence interval for the change in averages scores from 2004 to 2008, and interpret this interval in the context of the applications (make sure you check the conditions). c) Does the conclusion in part a) matches the conclusion in part b)