For Exercises 55–58, software output for confidence intervals for are provided. Assume the conditions are met. For each, examine the indicated software output, and do the following:

  1. Report the confidence interval in the form “(lower bound, upper bound).”
  2. Interpret the confidence interval.
  3. Calculate the margin of error for the confidence interval.
  4. Interpret the margin of error.

Question 8.234

57. Web Buyers. SPSS results for a confidence interval for , the population proportion of clothing store purchases made online.

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8.3.57

(a) (0.0383, 0.0497) (b) We are 95% confident that , the population proportion of clothing store purchases made online, lies between 0.0383 and 0.0497. (c) 0.0057 (d) We can estimate the population proportion of clothing store purchases made online to within 0.0057 with 95% confidence.