Question

A statistics student at a New York State community college, randomly samples 500 students who own cell phones to determine if they play games on their phones. 65% stated that they use their mobile phones to play games.
Using this information, then:

a) construct a 95% confidence interval (to 3 decimal places) for the population proportion, p, of NYS community college cell phone users who play games on their phones.

b) construct a 99% confidence interval for the population proportion, p, of NYS community college cell phone users who play games on their phones.

c) determine the margin of error for both the 99% and 95% confidence interval estimates.

MAT 102 DAH Test# 2 Form B NAME ___________________________________________________7

d) What did you notice about the relationship between the confidence interval width and the margin of error as the confidence interval increased from 95% to 99%?

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e) Would it be reasonable for someone to state that 75% of NYS community college cell phone users play games on their cell phones? YOU MUST EXPLAIN YOUR ANSWER OTHERWISE: No credit will be given.

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Answer 1