Question

A 2009 Pew Research Survey of a nationally representative sample of 242 cell phone users, aged 16 to 17 years, found that 52% had talked on the phone while driving.

1. Find a 98% confidence interval for the percentage of all cell phone users aged 16 to 17 years old who have talked on the phone while driving.

2. Do these data provide evidence that a majority of 16 to 17 year old cell phone users talk on the phone while driving?

3. What sample size is needed for you to estimate the percentage of all cell phone users aged 16 to 17 years old who have talked on the phone while driving to within a margin of error of 0.5%?

Answer 1

1.

2.

Since 0.50 is contained in the above interval (0.445,0.595) the data does not provide sufficient evidence that a majority of 16 to 17-year-olds cell phone users talk on the phone while driving

3.

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