A survey1 of 1060 randomly selected US teens ages 13 to 17 found that 605 of the

Question

A survey1 of 1060 randomly selected US teens ages 13 to 17 found that 605 of them say they have made a new friend online. Lenhart A, "Teens, Technology, and Friendships," Pew Research Center, pewresearch.org, August 6, 2015. (a) Find a 90% confidence interval for the proportion, p, of all US teens who have made a new friend online. Round your answers to three decimal places. The 90% confidence interval is to LINK TO TEXT (b) Give the best estimate for p and give the margin of error for the estimate Round your answers to three decimal places. margin of error

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

90% confidence interval results:

Hence,

a) 90% confidence interval: 0.546 to 0.596

b) Point estimate = 0.571

Margin of error = 0.025

c) Since the interval only contains the values which are above 0.5, the answer is Yes.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 605 1060 0.57075472 0.015202835 0.54574828 0.59576116

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