Estimated Margin of Error

The ____ measures how accurate the point estimate is likely to be in estimating a parameter.

• degree of unbiasedness

• confidence level

• standard deviation

• margin of error

• interval estimate

In a poll of 278 registered voters in a certain city, 67% said that they were in favor of a bill which would limit growth and development in their city. The margin of error in the poll was reported as 6 percentage points (with a 95% degree of confidence). Which statement is correct?

• The sample size is too small to achieve the stated margin of error

• For the given sample size, the margin of error should be larger than stated

• There is not enough information to determine whether the margin of error is consistent with the sample size

• The reported margin of error is consistent with the sample size

• For the given sample size, the margin of error should be smaller than stated

In a survey of 5100 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want 95% confidence in our estimate of the percentage of T.V. viewers who watch network news programs.

• 2.00%

• 1.76%

• 1.34%

• 1.12%

• 1.54%

• 120

• 61

• 69

• 105

• None of the other choices is correct

• 2

• 64

• 4

• 74

• None of the other choices is correct

A research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend exercising each week. They want to estimate the mean within a margin of error of 0.5 hours with a 95% level of confidence. Previous data suggests that the standard deviation of the population is 2.2. Which of the following is the smallest sample size they could use?

• 60

• 75

• 90

• 180

Suppose a confidence interval is 9.65 < μ < 11.35. Find the margin of error.

• 9.65

• 1.7

• 0.85

• 10.5

Find the margin of error that corresponds to the given statistics and confidence level. 90% confidence level; n = 300; x = 140.

• 0.4667

• 0.0474

• .4193

• .514

A research team surveys 1001 adults, asking them how many hours they work per week. What is the margin of error for this survey?

• 3%

• 32%

• 63%

• 9%

A research team surveys 200 high schoolers at glenoak. They find that 57% of them drive to school every day. What is the margin of error?

• 95%

• 14%

• 7%

• 3%