In 1992 study found that approximately 10.1 %of males and 7.6% of females in the united states are left-handed in the study handedness was determined by the hand a person used for throwing a ball use this information to answer the following questions suppose we are interested in examining differences in sample proportions from independent random samples of males and females we surveyed250 males and 300 females asking which hand do you use to throw a ball. let p^cap_1 be the proportion of females who throw a ball with their left hand. let p^cap_2 be the proportions of males who throw a ball with their left hand. what is the mean fro the sampling distribution of p^cap_1 - p^cap_2? what does this value tell us? what is the standard error for the sampling distribution of p^cap_1 - p^cap_2? is the normal distribution an appropriate model for the sampling distribution of p^cap_1 - p^cap_2? how do you know?