TAKE IT HOME A 1992 study found that approximately 10.1% of males and 7.6% of fe
ID: 3174773 • Letter: T
Question
TAKE IT HOME A 1992 study found that approximately 10.1% of males and 7.6% of females in the United States are left-handled. 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 survey 250 males and 300 females and ask which hand they 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?Explanation / Answer
1)here p1hat-p2hat =10.1-7.6=2.5
this value referes to estimate mean differnce b/w male and female left hand user in US
2) std error =(p1(1-p1)/n1+(p2(1-p2)/n2))1/2 =0.0244
3)yes as condition for normal distribution n1p1>10 and n1(1-p1)>10
also n2p2>10 and n2(1-p2)>10 are satisfied
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