Question

1000999988 878642 182 b43 rant wen bleen L// . In a a ney of 643 mele cel ?hone users and. few ole cell phone users, w was fund that 32% of males nool the all phones while dring and 25% of ervalec used the cell phones while only 0) Frd the 9?confidence Mtend fr the dtferne btuoen the froporture of wole and fewalo call phone users whe wal the oll pons wale dog b) Do the somple results show to male oll phone uwars tke cell phoyes whle ding tian fole coll phove es to usc sers are more

Answer 1

Solution: Males: n 643 Sample proportion of males using cell phones while driving-p1-32% Females: 0.32 Sample proportion of females using cell phones while driving P2-25% 0.25 Part-A: For 90% confidence interval, a/2 0.10/2 0.05 Standard Error of p1 p2: 1-0.90 0.10 p1 (1- p1) p2(1 - p2) 0.32(1 0.32) 0.25(1 0.25) 643 643 σ 0.0251 90% confidence interval estimate (p1-p2) z /2 ơ From normal distribution table, Za/2 1.645 90% confidence interval estimate for the difference between proportions (0.32 -0.25) + 1.645 x 0.0251 0.07t 0.0413 The lower bound of 90% confidence interval is-0.07-0.0413 The upper bound of 90% confidence interval is-0.07+ 0.0413 0.0287 0.1113

Part-B: Since the confidence interval, as calculated above, does not pass through 0, we can conclude that the sample results show that the male cell phone users are more likely to use the cell phones while driving than the female cell phone users