Suppose we computed a largesample 80% confidence interval for the proportion of

Question

Suppose we computed a largesample 80% confidence interval for the proportion of all American teens who own an MP3 player. This 80% confidence interval

c) would have a larger margin of error than the
90% confidence interval.

A 2011 NBC News survey found that 80% of a sample of 4500 American teens said they owned an MP3 player such as an iPod. Assume that the sample was an SRS.

Suppose we computed a largesample 80% confidence interval for the proportion of all American teens who own an MP3 player. This 80% confidence interval

a) would have a smaller margin of error than the
90% confidence interval. b) could have either a smaller or a larger margin of
error than the 90% confidence interval. This varies
from sample to sample.

c) would have a larger margin of error than the
90% confidence interval.

Explanation / Answer

As we increase the % of CI the margin of error increase hence for this case answer is a. Would have a smaller margin of error than 90% confidence interval.

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