AT&T Would Like to Test the Hypothesis That the Proportion

Multiple Choice

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, which one of the following statements is true?

A) Because the 98% confidence interval includes zero, AT&T can conclude that the proportion of 18- to 34- year- old Americans that own a cell phone is less than the proportion of 35- to
B) Because the 98% confidence interval does not include zero, AT&T cannot conclude 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.
C) Because the 98% confidence interval includes zero, AT&T cannot conclude 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.
D) Because the 98% confidence interval does not include zero, AT&T can conclude 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.