A researcher wants to determine whether there is a relationship between age and the number of text messages sent in a given day. In a random sample of 18- to 25-year-old cell phone users, 100 of 125 users sent texts more often than they made phone calls. In a random sample of 26- to 35-year-old cell phone users, 75 of 120 sent texts more often than they made phone calls. What is the margin of error for a 99% confidence interval for the difference between the proportions of cell phone users in these age groups who text more often than they call?
0.0032
0.0569
0.1114
0.1465
0.2864
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