Question: A random sample of families was taken in order to estimate the relation between fertility and level of education (measured in number of years). A confidence interval needs to be constructed for the slope of the regression line. The social worker in charge of the project is debating whether to use a 90 percent or a 95 percent confidence interval. Which of the following statements about the length of these intervals is true?
A: The 95 percent confidence interval will be wider than the 90 percent confidence interval.
B: The 95 percent confidence interval will be narrower than the 90 percent confidence interval.
C: Both intervals will be of the same length, because they are computed from the same sample.
D: The length of the confidence interval will depend on the sample size, not on the confidence level.
Please eliminate two incorrect options first, then think it step by step and choose the most proper one option. Please answer in JSON format.
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