Question 1
A population proportion is to be estimated. Estimate the minimum sample size needed to achieve the specified margin of error with a 95% degree of confidence.
A researcher wishes to estimate the proportion of children in a certain neighborhood who are living with only one parent. She wishes to achieve a margin of error of E = 0.021. What is the minimum sample size needed?
◦ 2268
◦ 48
◦ 1134
◦ 4536
Question 2
In a poll of 278 voters in a certain city, 65% said that they backed 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?
◦ There is not enough information to determine whether the margin of error is consistent with the sample size.
◦ The sample size is too small to achieve the stated margin of error.
◦ 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.
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