A certain magazine published a study on how well firefighter gloves fit. In a sample of 588 firefighters who reported their glove size, the researchers classified firefighters according to whether the gloves fit well or poorly and by gender. The data are summarized 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 =0.01 and supplement your analysis with a 99% confidence interval on the difference in proportions for males and females.
Specify the null and alternative hypotheses. Choose the correct answer below.
A. H0 : The classifications Glove Fit and Gender are dependent.
H : The classifications Glove Fit and Gender are independent.
B. H0 : The classifications Glove Fits Well and Glove Fits Poorly are independent.
H : The classifications Glove Fits Well and Glove Fits Poorly are dependent.
C. H0: The classifications Glove Fit and Gender are independent.
H: The classifications Glove Fit and Gender are dependent.
D. H0 : The classifications Males and Females are independent.
H : The classifications Males and Females are dependent.