Refer to the Human Factors (December 2015) study on how well firefighter gloves fit, Exercise 3.38. 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 Totals Poorly Males Females 415 19 547 39 132 434 152 Totals 586