Firefighter glove sizing. Refer to the Human Factors (December 2015) study on how well firefighter gloves fit, Exercise 3.38 (p. 175). Recall that in a sample of 586 firefighters who reported their glove size, the researchers classified firefighters according to whether the gloves fit well or poorly and by gender. A summary of the data (number of firefighters) is reproduced in the accompanying table. The researchers want to know whether the proportion of firefighters who wear a poorly fitting glove differs for males and females. Conduct an analysis that will answer the researchers’ question. Use a test of hypothesis at a = .01 and supplement your analysis with a 99% confidence interval on the difference in proportions for males and females. Glove Fits Well Glove Fits Poorly Totals Males 415 132 547 Females 19 20 39 Totals 434 152 586 Source: H. Hsiao et al., “Firefighter Hand Anthropometry and Structural Glove Sizing: A New Perspective,” Human Factors, Vol. 57, No. 8, December 2015 (Table 6).