The Principal Financial Group conducted a survey of 1172 employees in the United States between July and August of 2010, and asked if they were currently participating in the employer sponsored automatic payroll deduction for a 401k plan to save for retirement. Of the 1172 employees surveyed, 27% indicated they were participating. The Principal Group reported that 27% of all employees in the United States participate in automatic payroll deduction for a 401k plan to save for retirement with a 4% margin of error.
(a) State a descriptive statistic.
(b) What can be inferred from this survey?
a)
The descriptive statistic of the sample is 27%
It represents the proportion for the sample.
b)
The 4% margin of error means that the true proportion is most
likely in the range from 23% to 31% (since 27-4 = 23, 27+4 =
31)
We are 95% confident that the true proportion is in this
range.
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