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 p- value for this hypothesis test is _______.

Question

Quizplus · Accepted Answer

The p-value is calculated based on the difference in proportions between the two samples. The sample proportion for 18-34 year-olds is 126/200 = 0.63, and for 35-49 year-olds is 119/175 = 0.68. Using a hypothesis test for the difference in proportions, the p-value is approximately 0.1562.

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