Chapter 3, Section 3, Exercise 090 Teens Are More Likely to Send Text Messages A study was conducted to compare the proportions of adult and teen cell phone users that send/receive text messages. The summary statistics are repeated below: Group Sample Size Proportion Teen n, = 800 f7, = 0.87 Adult n,, = 2252 1A7\" = 0.72 Figure 1 shows a distribution for the differences in sample proportions (1A7, 1\") for 5000 bootstrap samples (taking 800 values with replacement from the original teen sample and 2252 from the adults). 0.10 0110.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20 p_Teen p_Adul1 Figure 1 Bootstrap di'erence in sample proportions of teen and adult cell phone users who text (a) Based on the bootstrap distribution, which is the most reasonable estimate of the standard error for the difference in proportions: SE = 0.015, 0.030, 0.050, 0.10, or 0.15? O 0.015 O 0.030 O 0.050 O 0.10 O 0.15 ,uux'rorex-r (b) Using your choice for the SE estimate in part (a), nd a 95% condence interval for the difference in proportion of teen and adult cell phone users who send/receive text messages. Round your answers to two decimal places. The 95% condence interval is l l to LINK TO TEXT