What Proportion of Adults and Teens Text Message? A study of n = 2252 adults age

Question

What Proportion of Adults and Teens Text Message? A study of n = 2252 adults age 18 or older found that 72% of the cell phone users send and receive text messages.^14 A study of n = 800 teens age 12 to 17 found that 87% of the teen cell phone users send and receive text messages. What is the best estimate for the difference in the proportion of cell phone users who use text messages, between adults (defined as 18 and over) and teens? Give notation (as a difference with a minus sign) for the quantity we are trying to estimate, notation for the quantity that gives the best estimate, and the value of the best estimate. Be sure to clearly define any parameters in the context of this situation.

Explanation / Answer

Proportion of users aged 18 or older received and send text messages = 0.72

Proportion of users aged 12 to 17 received and send text messages = 0.87

Best Estimate for differences in the Proportion = (0.72*2252+0.87*800)/(2252+800) = 0.7593

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