A marketing assistant for a technology firm plans to randomly select 1000 1 point customers to estimate the proportion who are satisfied with the firm's
performance. Based on the results of the survey, the assistant will
construct a 95% confidence interval for the proportion of all customers
who are satisfied. The marketing manager, however, says that the firm can
afford to survey only 250 customers. How will this decrease in sample size
affect the margin of error?*
The margin of error will be about 4 times larger.
The margin of error will be about 2 times larger.
The margin of error will be about the same size.
The margin of error will be about half as large.
The margin of error will be about one-fourth as large.