Using the methods provided in the text for computing confidence intervals for population proportions, a marketing analyst takes a survey of 1000 randomly selected consumers. She asks if they prefer low-sodium soup products. Using the results, she provides a 95% confidence interval for the population proportion of consumers who prefer low-sodium soup products. The interval has a margin of error of 03. Which of the following is an appropriate interpretation of these results? (a) The sample proportion from the survey differs from the population proportion by at most 03.
(b) 95% of all possible values of the population proportion are contained in the interval provided.
(c) The analyst is 95% confident that all possible values for the sample proportion from a sample of 1000 consumers are in the interval provided.
(d) Using these methods, 95% of all possible confidence intervals from a sample of 1000 consumers will contain the population proportion.
(e) The reported confidence interval will contain the population proportion 95% of the time.