An all-women's college is interested in knowing whether it places more or less women in male-dominated careers (e.g., engineering, physical science) as compared to the national data for career placement. According to the National Center for Educational Statistics, only around 20% of the people in engineering and physical science jobs were female in the 1990s. For this problem, assume that this population parameter has remained constant over time. The alumni data at this all-women's college has observed the percent of graduates placed in such occupations over the past 30 years (N = 30). The mean for those years is 24.7% with a standard deviation of 6.9%. Test the hypothesis that the women's college average is different from the national average. Complete the following steps to test this hypothesis using alpha = .05. a. What are the hypotheses in formal statistical notation? b. Compute the 95% confidence interval and report it using apa notation. c. Make a decision regarding the null hypothesis. How did you reach this decision using the confidence interval? Communicate the results