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Question
AT&T would like to test the hypothesis that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans. A random sample of 200 18- to 34-year-old Americans found that 126 owned a smartphone. A random sample of 175 35- to 49-year-old Americans found that 119 owned a smartphone. If Population 1 is defined as 18- to 34-year-old Americans and Population 2 is defined as 35- to 49-year-old Americans, the 98% confidence interval for the difference in population proportions is ________.
A) (0.039, 0.061)
B) (0.011, 0.089)
C) (-0.164, 0.064)
D) (-0.122, 0.222)
Answer
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